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Background Monitoring Well Determinations
Buck Steam Station
Buck was a six -unit coal-fired electricity generating facility along the Yadkin River. Buck began
operation of Units 1 and 2 in 1926 as a coal-fired generating station). Units 1 and 2 were retired
in 1979. Units 3 and 4 at Buck were retired in mid-2011 and Units 5 and 6 were retired in April
2013. No coal-fired units are currently in operation at Buck. Operation of the BCSS natural gas
facility began in late-2011. Three combustion turbine units formerly operated adjacent to the
coal-fired units and were retired in October 2012. Buildings and other structures associated with
power production are generally located in the northwestern section of the site. The eastern
portion of the site is generally wooded with the exception of the remaining ponded areas of the
ash basin.
The ash basin system at Buck consists of three cells, associated earthen dikes, discharge
structures, and two canals. The cells are designated as Cell 1 Additional Primary Pond (Cell 1),
Cell 2 Primary Pond (Cell 2), and Cell 3 Secondary Pond (Cell 3). The ash basin is located to
the south (Cell 1) and southeast (Cells 2 and 3) of Buck.
Topography at the Buck site ranges from an approximate high elevation of 734 feet (NAVD 88)
at the communications cell tower near the southwest edge of the property to an approximate low
elevation of 620 feet at the Yadkin River on the northern margin of the site, with a total elevation
change of approximately 114 feet over a distance of 0.9 miles. Surface water drainage flow
generally follows site topography from the south to north across the site except where natural
drainage patterns have been modified by the ash basin or other construction features. An
unnamed stream flows from south to north on the west side of the site.
In July 2015, groundwater elevations were collected from onsite National Pollution Discharge
Elimination System (NPDES) compliance wells, voluntary wells, and newly installed
Comprehensive Site Assessment (CSA) monitoring wells. Groundwater elevations were
measured in the shallow, deep and fractured bedrock flow layers and groundwater flow direction
was estimated by contouring elevations in each flow layer. In general, groundwater within the
shallow and deep flow layers flows from the southern extent of the Buck property boundary to
the north, northeast and northwest toward the Yadkin River. However, at the eastern and
western extents of the site, there are groundwater flow components to the east and west,
toward unnamed tributaries that flow north to the Yadkin River.C�roundwater within the bedrock
flow layer is consistent with observed flow directions in the shallow and deep flow layers and
flows north and northeast to the Yadkin River. However, the northwesterly component is less
observable. Generalized groundwater contours for the shallow flow layer are shown on Figures
3-3, 3-4, and 3-5.
The CSA submitted to the North Carolina Department of Environmental Quality (NCDEQ) in
August 2015 identified the source area as the ash basin, which consists of the active ash basin
and the inactive ash basin.
Background wells were chosen to represent background groundwater quality based on factors
such as their horizontal distance from the source area or waste boundary, the relative
topographic and groundwater elevation difference compared to the nearest ash basin surface or
porewater, and the calculated groundwater flow direction. PPBCs for the Buck site are provided
in Table B-1.
Table B-1. Proposed Provisional Background Concentrations
Constituent
2L Standard/ IMAC
PPBC
Units
Aluminum
NS
no data
ug/L
Antimony
1
1
ug/L
Arsenic
10
1
ug/L
Barium
700
86
ug/L
Beryllium
4*
0.2
ug/L
Boron
700
50
ug/L
Cadmium
2
1
ug/L
Chloride
250
7.8
mg/L
Chromium
10
1.9
ug/L
Hexavalent Chromium
0.07
78
ug/L
Cobalt
1*
4
ug/L
Copper
1000
5
ug/L
Iron
300
369.81
ug/L
Lead
15
1
ug/L
Manganese
50
160
ug/L
Molybdenum
NS
0.5
ug/L
Mercury
1
0.2
ug/L
Nickel
100
8
ug/L
Nitrate
10
0.56
mg/L
pH
6.5-8.5
6.5-8.5
SU
Selenium
20
1
ug/L
strontium
NS
96
ug/I
Sulfate
250
2.1
mg/L
TDS
500
250
mg/L
Thallium
0.2
0.2
ug/L
Vanadium
0.3*
8.8
ug/L
Zinc
1,000
11.7
ug/L
Notes:
1. All PPBCs are highest detected value or highest ND reporting limit. Too few values to develop
statistics
2. * = IMAC
2
A summary table of information regarding the well construction, well location, and water
elevations is in Table B-2.
Table B-2. Background Monitoring Well Information
Distance and
Closest
Direction from
Ground
Elevation
Basin
Source Area
Groundwater
Surface
of
Elevation of
surface
Well ID
Flow Direction
Elevation
Screened
Groundwater
water
Ash Basin
(feet)
Interval
(feet)
Elevation
(Cell 1, Cell 2)
(feet)
to Well
feet
MW-
450 feet SE (Cell 1)
721.25
693.25-
6S
NE
(Note 1)
703.25
697.83
701
note 1
613.60 —
MW-
450 feet SE (Cell 1)
NE
721.1
617.60
697.88
701
6D
(Note 1)
(see Note
1
2,050 feet SW (Cell 1)
692.5
13G-1 S
NW
722.59
707.5
704.16
701
2,050 feet SW (Cell 1)
BG-1 D
NW
723.04
619-624
701.23
701
BG-2S
2,050 feet SW (Cell 1)
NW
727.27
695-710
703.69
701
BG-2D
2,050 feet SW (Cell 1)
NW
727.31
623-628
703.65
701
BG-3S
590 feet S (Cell 2)
NE
719.44
679-694
687.81
683
BG-3D
590 feet S (cell 2)
NE
719.49
644.5-
687.95
683
649.5
Notes:
1. Surface elevation is top of casing. No ground surface elevation provided. See Table 6-10 in CSA
report. Ground surface elevation is estimated to be 3 feet lower than top of casing
2. Elevations presented in North American Vertical Datum (NAVD) 88.
The methodology applied to determine if a well represents background water quality is
explained in detail below for each monitoring well listed in the above table. The locations of the
monitoring wells are depicted on Figure 1-4.
MW-6S and MW-61D
Monitoring wells MW-6S and MW-61D were installed onsite as the compliance background wells
for the NPDES groundwater monitoring program. The well group is located approximately 700
feet south of Cell 2 adjacent to the southern boundary of the site.
• The ground surface elevation at this monitoring well pair was not measured as part of
the CSA activities. Based on topographic maps, the ground surface is estimated to be
between 710 feet and 720 feet.
• The ground surface elevation at the southern edge of the waste boundary of Cell 2 is
approximately 690 feet (ground surface at the wells is estimated to be 20 to 30 feet
higher than southern edge of the waste boundary of Cell 2).
• The monitoring well pair is located approximately 450 feet south of the south end of the
Cell 2 waste boundary.
• MW-6S is screened from approximately 18 feet to 28 feet below ground surface in the
shallow flow layer.
• MW-61D is screened from approximately 103.5 to 108.52 feet below ground surface in
the fractured bedrock flow layer.
• The water elevation in the Cell 2 ash basin pond (measured in June 2015) was 681 feet.
The Cell 2 ash basin pond typically fluctuates between approximately 680 feet and 683
feet.
• The source of groundwater in wells MW-6S and MW-61D is uncertain. Overall
groundwater flow in this area is from the southwest, and may originate from the
rural/residential area to the south, or localized groundwater flow may be from the
direction of the ash basin to the north.
The MW-6 well group is close to Cell 1 (590 feet) and groundwater elevation measured in this
area indicate that this well may be located downgradient of Cell 1. This well group will continue
to be evaluated for its suitability as a background well as more water level and analytical data
are collected.
BG-1 S and BG-1 D
Monitoring wells BG-1 S and BG-1 D were installed as background monitoring wells during the
CSA. These wells are located in the southwestern area of the site along Buck's western
property boundary. The June 2015 groundwater gauging event was considered for determining
groundwater flow direction at these monitoring wells.
• The ground surface elevation at these monitoring wells is approximately 723 feet.
The ground surface elevation at the southern edge of the waste boundary of Cell 1 is
approximately 710 feet (ground surface at the wells is 13 feet higher than the edge of the
Cell 1 waste boundary).
• The monitoring wells are located approximately 2,050 feet southwest of the south end of
the Cell 1 ash basin waste boundary.
4
• BG-1 S is screened from approximately 15 feet to 30 feet below ground surface in the
shallow flow layer. The BG-1 S well screen interval elevation is approximately 692.5 to
707.5 feet with a water level measurement of 704 feet in June 2015.
• BG-1 D is screened from approximately 99 feet to 104 feet below ground surface in the
deep flow layer. BG-1 D well screen interval elevation is approximately 619 to 624 feet
with a water level measurement of 701 feet in June 2015.
• The water elevation in the south end of the Cell 1 ash basin pond (measured in June
2015) was 701 feet. Water elevations within the Cell 1 ash basin pond has fluctuated
between 693 to 705 feet since water level measurements began in 1985.
• Based on extrapolation of groundwater flow data from onsite wells and evaluation of
topographic data, groundwater in wells BG-1 S and BG-1 D originates from the
rural/undeveloped area to the south. These properties are not expected to contribute
site -specific Cols to groundwater at this location.
Based on the horizontal distance from the waste boundary to the monitoring wells, the relative
topographic and groundwater elevations, measured elevation differences between the
monitoring wells and the nearest ash basin surface water, and the determined groundwater flow
direction, monitoring wells BG-1 S and BG-1 D represent background water quality relative to the
ash disposal areas at the site.
BG-2S and BG-2D
Monitoring wells BG-2S and BG-21D were installed as background monitoring wells during the
CSA. These wells are located in the southwestern area of the site along Buck's southern
property boundary. The June 2015 groundwater gauging event was considered for determining
groundwater flow direction at these monitoring wells.
• The ground surface elevation at these monitoring wells is approximately 723 feet.
The ground surface elevation at the southern edge of the waste boundary of Cell 1 is
approximately 710 feet (ground surface at the wells is 13 feet higher than the edge of the
Cell 1 waste boundary).
• The monitoring wells are located approximately 2,050 feet southwest of the south end of
the Cell 1 ash basin waste boundary.
• BG-2S is screened from approximately 17 feet to 32 feet below ground surface in the
shallow flow layer. The BG-2S well screen interval elevation is approximately 695 to 710
feet with a water level measurement of 703.69 feet in June 2015.
• BG-21D is screened from approximately 99 feet to 104 feet below ground surface in the
deep flow layer. BG-21D well screen interval elevation is approximately 623 to 628 feet
with a water level measurement of 703.65 feet in June 2015.
• The water elevation in the south end of the Cell 1 ash basin pond (measured in June
2015) was 701 feet. Water elevations within the Cell 1 ash basin pond has fluctuated
between 693 to 705 feet since water level measurements began in 1985.
• Based on extrapolation of groundwater flow data from onsite wells and evaluation of
topographic data, groundwater in wells BG-2S and BG-21D originates from the
rural/undeveloped area to the south. These properties are not expected to contribute
site -specific COls to groundwater at this location
Based on the horizontal distance from the waste boundary to the monitoring wells, the relative
topographic and groundwater elevations, measured elevation differences between the
monitoring wells and the nearest ash basin surface water, and the determined groundwater flow
direction, monitoring wells BG-2S and BG-21D represent background water quality relative to the
ash disposal areas at the site.
BG-3S and BG-3D
Monitoring wells BG-3S and BG-31D were installed as background monitoring wells during the
CSA. These wells are located in the southeastern area of the site, south of the Cell 2 ash basin
pond and along Buck's southern property boundary. The June 2015 groundwater gauging event
was considered for determining groundwater flow direction at these monitoring wells.
• The ground surface elevation at these monitoring wells is approximately 719 feet.
• The ground surface elevation at the southern edge of the waste boundary of Cell 2 is
approximately 690 feet (ground surface at the wells is 29 feet higher than the edge of the
Cell 1 waste boundary).
• The monitoring wells are located approximately 590 feet southeast of the south end of
the Cell 2 ash basin waste boundary.
• BG-3S is screened from approximately 25 feet to 40 feet below ground surface in the
shallow flow layer. The BG-3S well screen interval elevation is approximately 679 to 674
feet with a water level measurement of 687.81 feet in June 2015.
• BG-31D is screened from approximately 70 feet to 75 feet below ground surface in the
deep flow layer. BG-31D well screen interval elevation is approximately 644.5 to 649.5
feet with a water level measurement of 687.95 feet in June 2015.
• The water elevation in the Cell 2 ash basin pond (measured in June 2015) was 681 feet.
The Cell 2 ash basin pond typically fluctuates between approximately 680 feet and 683
feet.
• Based on extrapolation of groundwater flow data from onsite wells and evaluation of
topographic data, groundwater in wells BG-3S and BG-31D originates from the
rural/undeveloped area to the south and southwest. These properties are not expected
to contribute site -specific COls to groundwater at this location
The BG-3 well group is close to Cell 1 (590 feet) and groundwater elevations in this area (June
2015) are 14 feet lower than Cell 1 water level. This well may be located downgradient of Cell 1.
This well group will continue to be evaluated for its suitability as a background well as more
water level and analytical data are collected.
6
Turbidity and pH Observations in Background Wells
Turbidity and pH were evaluated at each well to determine its suitability for use in monitoring. In
some cases, turbidity was elevated above 10 Nephelometric Turbidity Units (NTU) and pH was
above 8.5 Standard Units (SU). Analytical data from those wells have not been used to
establish Proposed Provisional Background Concentrations (PPBCs) at this time. Each well will
be evaluated, re -developed as necessary, and new determinations made as to its continued
suitability in future groundwater sampling events.
MW-6S and MW-6D
From November 2006 to March 2015, MW-6S was sampled 21 times. During this period,
turbidity has ranged from 1.36 to 78 NTU with a mean turbidity of 19.30 NTU. During the
June 2015 sampling event, turbidity in MW-6S was less than 10 NTU. pH measurements
in MW-6S have ranged from 4.48 to 5.76 SU over the period of monitoring. The relatively
low pH readings indicate that groundwater in the monitoring well is not affected by grout
contamination.
From November 2006 to March 2015, MW-6D was sampled 21 times. During this period,
turbidity has ranged from 0.32 to 24.5 NTU with a mean turbidity of 2.81 NTU. During the
June 2015 sampling event, turbidity in MW-6D was less than 10 NT. pH measurements
in MW-6D have ranged from 5.83 to 7.05 SU over the period of monitoring. The
relatively low pH readings indicate that groundwater in the monitoring well is not affected
by grout contamination.
BG-1 S and BG-1 D
Turbidity in BG-1 S was greater than 10 NTU during the June 2015 sampling event. The
elevated turbidity measurement will require further development prior to future sampling
events. The pH value in BG-1S was 6.6 during the June 2015 sampling event. The
relatively low pH reading indicates that the monitoring well is not being affected by
grout/well construction issues.
Monitoring well BG-1 D was sampled twice in June 2015. Turbidity in BG-1 D was less
than 10 NTU during both of the June 2015 sampling events. The pH value in BG-1 D was
measured at 10.8 and 11.5 SU during the two June 2015 sampling events. The elevated
pH readings indicate that the monitoring well may be affected by grout/well construction
issues. pH will continue to be monitored in future sampling event to determine if it will
stabilize at a lower level.
BG-2S and BG-2D
• Turbidity in BG-2S was greater than 10 NTU during the June 2015 sampling event. The
elevated turbidity measurement will require further development prior to future sampling
events. The pH value in BG-2S was 5.6 during the June 2015 sampling event. The
7
relatively low pH reading indicates that the monitoring well is not being affected by
grout/well construction issues.
No turbidity or pH values were available in monitoring well BG-2D for the June 2015
sampling event. The analytical results from the June 2015 sampling event will not be
utilized in determining proposed provisional background groundwater concentrations for
the site. These parameters will be sampled in future events.
BG-3S and BG-3D
Turbidity in BG-3S was less than 10 NTU during the June 2015 sampling event. The pH
value in BG-3S was 5.5 during the June 2015 sampling event. The relatively low pH
reading indicates that the monitoring well is not being affected by grout/well construction
issues.
• Turbidity in BG-3D was less than 10 NTU during the June 2015 sampling event. The pH
value in BG-3S was 7.6 during the June 2015 sampling event. The relatively neutral pH
reading indicates that the monitoring well is not being affected by grout/well construction
issues.
Regional Background
In addition to reviewing the pH and turbidity readings to assess the water quality in the
monitoring wells, the data from the proposed background wells was compared to the regional
background concentrations of constituents, where available, and the 2-10 Private Well data. The
2-10 Private Wells are Duke Employee private water supply wells that are located between 2
and 10 miles of the Buck site. These values are shown in Table 2-2. The source of the regional
background concentrations are presented in Section 2.2.1. The concentrations of constituents
in the newly installed background wells are within the range of available regional background
and 2-10 data, with the following exceptions:
• Cobalt concentrations in background wells are higher than the 2-10 data.
• Nickel concentrations in background wells are slightly higher than the 2-10 data
• Sulfate concentrations in in background wells are higher than the 2-10 data.
• TDS concentrations are higher in background wells than the 2-10 data.
The water quality in the proposed background wells appears to be similar in many respects to
the regional published background concentrations for many constituents. Additional background
groundwater data being collected in 2015 (for a total of four sampling rounds in 2015) that will
help future decision -making and also a better understanding of the constituent concentrations
noted above.
Soil Background Statistics for Buck
Steps for determining background threshold values (BTV) for soils:
Step 1: Collect an appropriate number of soil samples from the designated background or
reference areas. Assume same population. Conduct data validation on analytical data to
assess suitability of data for statistical analysis and decision making.
Step 2: Determine the data distribution. Depending upon the data distribution, use parametric or
nonparametric methods to estimate BTVs.
Step 3: Check for outliers in data set. Remove outliers if it can be justified.
Step 4: Calculate BTVs
• Upper percentiles
• Upper prediction limits (UPLs)
• Upper tolerance limits (UTLs)
• Upper simultaneous limits (USLs) — New in ProUCL 5.0
Each BTV is described below (USEPA 2013):
• Upper Percentile, x0.95: Based upon an established background data set, a 95th
percentile represents that statistic such that 95% of the sampled data will be less than or
equal to (<_) x0.95 . It is expected that an observation coming from the background
population (or comparable to the background population) will be <_ x0.95 with probability
0.95.
Upper Tolerance Limit (UTL): Based upon an established background data set, a
UTL95-95 represents that statistic such that 95% observations (current and future) from
the target population (background, comparable to background) will be less than or equal
to the UTL95-95 with CC of 0.95. A UTL95-95 represents a 95% UCL of the 95th
percentile of the data distribution (population). A UTL95-95 is designed to
simultaneously provide coverage for 95% of all potential observations (current and
future) from the background population (or comparable to background) with a CC of
0.95. A UTL95-95 can be used when many (unknown) current or future onsite
observations need to be compared with a BTV. A parametric UTL95-95 takes the data
variability into account.
Upper Prediction Limit (UPL): Based upon an established background data set, a 95%
UPL (UPL95) represents that statistic such that an independently collected new/future
observation from the target population (e.g., background, comparable to background)
will be less than or equal to the UPL95 with confidence coefficient (CC) of 0.95. We are
95% sure that a single future value from the background population will be less than the
UPL95 with CC= 0.95. A parametric UPL takes data variability into account.
• Upper Simultaneous Limit (USL): Based upon an established background data set free
of outliers and representing a single statistical population, a USL95 represents that
statistic such that all observations from the "established" background data set are less
than or equal to the USL95 with a CC of 0.95. A parametric USL takes the data
variability into account. It is expected that all current or future observations coming from
the background population (comparable to background population, unimpacted site
locations) will be less than or equal to the USL95 with CC, 0.95. The use of a USL as a
BTV estimate is suggested by the USEPA when a large number of onsite observations
(current or future) need to be compared with a BTV.
Approach:
• Attachment A presents the Buck soil dataset. HDR completed a quality assurance and
quality control (QA/QC) data validation assessment (presented in separate document)
and has determined that the data meets project data quality objectives and is suitable for
statistical analysis and for establishing BTVs. Table 1 list the constituents (13 samples
and 30 constituents per sample)
Next, HDR conducted Dixon's outlier test for each constituent using ProUCL Version 5.0
software (USEPA 2013). Statically significant outliers were identified for 4 out of 30
constituents at the 5% significant level. Outliers can inflate background concentration
estimates (over estimate), where USEPA (2013) defines an outlier as Measurements
(usually larger or smaller than the majority of the data values in a sample) that are not
representative of the population from which they were drawn. The presence of outliers
distorts most statistics if used in any calculations. However, an outlier should only be
removed if there is justification for doing so (e.g., sample collected an area not
representative of background conditions). Buck samples represent subsurface soils
collected from drilling operations. HDR has determined that samples meet data quality
objectives. As stated by the USEPA (2013), since the treatment and handling of outliers
is a controversial and subjective topic, it is suggested that the outliers be treated on a
site -specific basis using all existing knowledge about the site; and regional and site -
specific background areas. Because soil samples were collected at depths greater than
5 feet below ground surface, and there is no evidence of anthropogenic impacts at
depths greater than 5 feet below ground surface, the entire dataset was utilized for
establishing BTV (assumes no outliers).
• HDR used ProUCL Version 5.0, to calculate summary statistics, goodness of fit
(population distribution), and the BTV upper limits (UTL, UPL, and USL). Results are
summarized in Tables 1 and 2. The Kaplan Meier (KM) method was used for
estimating statistics with censored data (data with non -detections). ProUCL printouts are
presented in Attachment B.
Table 1. Summary Statistics for Subsurface Soils Buck
Variable
n'
Detect
Non-
Detects
KM Mean
Detect
Mean
Detect
Median
KM SD
Detect
SD
Detect
Min
Detect
Max
mg/Kg
Aluminum
13
13
0
16,200
16,200
15,500
3,360
3,360
11,500
21,700
Antimony
13
0
13
NS
NS
NS
NS
NS
NS
NS
Arsenic
13
1
12
1.7
1.7
1.7
0
NS
1.7
1.7
Barium
13
13
0
156
156
152
75.1
75.1
27.9
344
Beryllium
13
13
0
1.80
1.80
1.90
1.07
1.07
0.68
4.10
Boron
13
4
9
29.1
49.9
49.9
15.7
5.35
43.8
54.8
Cadmium
13
0
13
NS
NS
NS
NS
NS
NS
NS
Calcium
13
10
3
1,170
1,490
913
1,370
1,490
115
4,670
Chloride
13
0
13
NS
NS
NS
NS
NS
NS
NS
Chromium
13
13
0
5.53
5.53
5.30
2.18
2.18
2.90
11.2
Cobalt
13
13
0
44.0
44.0
20.9
66.0
66.0
7.30
257
Copper
13
13
0
41.0
41.0
36.0
14.1
14.1
26.0
78.8
Iron
13
13
0
39,650
39,650
39,800
15,030
15,030
18,400
68,800
Lead
13
9
4
5.28
5.41
5.00
1.34
1.56
3.70
8.80
Magnesium
13
13
0
5,880
5,880
6,370
3,580
3,580
270
11,300
Manganese
13
13
0
789
789
472
888
888
238
3,620
Mercury
13
3
10
0.009
0.011
0.009
0.002
0.004
0.008
0.016
Molybdenum
13
0
13
NS
NS
NS
NS
NS
NS
NS
Nickel
13
13
0
9.98
9.98
4.30
8.96
8.96
1.60
30.0
Nitrate
13
0
13
NS
NS
NS
NS
NS
NS
NS
H field
13
13
0
5.45
5.45
5.40
0.41
0.41
4.80
6.00
Potassium
13
12
1
2,730
2,930
1,300
2,870
3,030
478
8,350
Selenium
13
1
12
3.8
7.2
7.2
1.4
NS
7.2
7.2
Sodium
13
0
13
NS
NS
NS
NS
NS
NS
NS
Strontium
13
9
4
10.6
13.9
17.5
7.57
7.42
3.90
22.6
Sulfate
13
0
13
NS
NS
NS
NS
NS
NS
NS
Thallium
13
0
13
NS
NS
NS
NS
NS
NS
NS
TOC
5
1
4
426
426
426
0
NS
426
426
Vanadium
13
13
0
114
114
116
38.0
38.0
50.7
197
Zinc
13
13
0
59.6
59.6
66.4
26.3
26.3
11.3
95.3
n = number of observations, KM = Kaplan Meier method (addresses data with non -detections, see USEPA 2013);
NS = No statistical analysis run due to too few detections; SD = standard deviation; TOC = total organic carbon
Table 2. Subsurface Soil Background Concentration Estimates for Buck
Constituent
Distribution
95916
Percentile
95% UTL
95% UPL
95% USL
(mg /K
Aluminum
Normal
21,720
25,170
22,410
24,030
Antimony
NS
NS
NS
NS
NS
Arsenic
NS
NS
NS
NS
NS
Barium
Normal
280
357
295
331
Beryllium
Normal
3.56
4.66
3.78
4.30
Boron
Normal
55.0
71.1
58.2
65.8
Cadmium
NS
NS
NS
NS
NS
Calcium
Normal
3,420
4,820
3,700
4,350
Chloride
NS
NS
NS
NS
NS
Chromium
Normal
9.12
11.4
9.57
10.6
Cobalt
Normal
153
220
166
198
Copper
Normal
64.2
78.6
67.1
73.8
Iron
Normal
64,370
79,790
67,450
74,610
Lead
Normal
7.49
8.86
7.76
8.41
Magnesium
Normal
11,770
15,450
12,510
14,230
Manganese
Log Normal
1,890
3,960
2,190
3,100
Mercury
NS
NS
NS
NS
NS
Molybdenum
NS
NS
NS
NS
NS
Nickel
Log Normal
30.2
75.6
36.3
55.7
Nitrate
NS
NS
NS
NS
NS
pH (field)
NS
NS
NS
NS
NS
Potassium
Log Normal
11,00
39,300
14,180
25,730
Selenium
NS
NS
NS
NS
NS
Sodium
NS
NS
NS
NS
NS
Strontium
Normal
23.1
30.9
24.6
28.3
Sulfate
NS
NS
NS
NS
NS
Thallium
NS
NS
NS
NS
NS
TOC
NS
NS
NS
NS
NS
Vanadium
Normal
176
215
184
202
Zinc
Normal
103
130
108
121
'NS = No statistical analysis run due to too few detections; UTL = upper tolerance limit; UPL = upper tolerance limit;
USL = upper simultaneous limit
References
U.S. EPA. ProUCL Version 5.0.00 Technical Guide, EPA/600/R-07/041
Attachment A
Buck Dataset
Sample
D_Alu
D_Anti
D_Arse
D_Bariu
D_Bery
Location ID
Sample ID
Depth
Aluminum
minum
Antimony
mony
Arsenic
nic
Barium in
Beryllium
Ilium
BG-1D
BG-1D(16.4-17.9)
16.4-17.9
13400
1
7.5
0
7.5
0
133.0
1 0.78
1
BG-1D
BG-1D(20-21.5)
20-21.5
15200
1
7.4
0
7.4
0
135.0
1 0.92
1
BG-ID
BG-1D(23.6-25.1
23.6-25.1
13200
1
7.0
0
7.0
0
161.0
1 0.72
1
BG-lD
BG-1D(9.8-11.2)
9.8-11.2
16900
1
6.8
0
6.8
0
88.0
1 0.74
1
BG-2D
BG-2D(10-11.5)
10-11.5
14300
1
7.3
0
7.3
0
27.9
1 2.30
1
BG-2D
BG-2D(13.5-15)
13.5-15
11500
1
8.8
0
8.8
0
97.6
1 2.00
1
BG-2D
BG-2D(18.5-20)
18.5-20
15500
1
8.2
0
8.2
0
154.0
1 2.70
1
BG-2D
BG-2D(20.5-22)
20.5-22
15500
1
8.2
0
8.2
0
144.0
1 2.60
1
BG-2D
BG-2D(26-27.5)
26-27.5
12800
1
8.2
0
8.2
0
171.0
1 0.68
1
BG-3BRU
BG-3BRU (46-47.5)
46-47.5
BG-3BRU
BG-3BRU(10-10.5)
10-10.5
19700
1
3.2
0
1.7
1
152.0
1 1.20
1
BG-3BRU
BG-3BRU(20-20.5)
20-20.5
21700
1
3.3
0
6.5
0
206.0
1 2.80
1
BG-3BRU
BG-3BRU(29-30.5)
29-30.5
20700
1
4.6
0
4.6
0
219.0
1 4.10
1
BG-3BRU
BG-3BRU(39-40.5)
39-40.5
20200
1
4.2
0
4.2
0
344.0
1 1.90
1
Units mg/Kg dry wt, except for pH
D_Cadm
D_Calciu
D Chro
Location ID
Sample ID
Boron D
Boron
Cadmium
ium
Calcium m
Chloride
D_Chloride
Chromium mium
Cobalt
D_Cobalt Copper
D_Copper
BG-1D
BG-1D(16.4-17.9)
18.7
0
0.90
0
2300
1
370
0
11.2
1 20.0
1
56.0
1
BG-lD
BG-1D(20-21.5)
18.6
0
0.89
0
2380
1
365
0
3.1
1 16.4
1
34.4
1
BG-11)
BG-1D(23.6-25.1
17.4
0
0.84
0
2640
1
373
0
2.9
1 18.1
1
36.0
1
BG-11)
BG-1D(9.8-11.2)
85.6
0
0.82
0
534
1
351
0
6.9
1 33.0
1
78.8
1
BG-21)
BG-2D(10-11.5)
90.7
0
0.87
0
181
0
380
0
6.1
1 12.2
1
29.8
1
BG-2D
BG-2D(13.5-15)
21.9
0
1.10
0
219
0
429
0
2.9
1 25.8
1
34.7
1
BG-2D
BG-2D(18.5-20)
20.4
0
0.98
0
115
1
412
0
5.4
1 257.0
1
36.8
1
BG-2D
BG-2D(20.5-22)
20.6
0
0.99
0
258
1
405
0
6.9
1 20.9
1
46.3
1
BG-2D
BG-2D(26-27.5)
20.4
0
0.98
0
4670
1
401
0
4.9
1 7.3
1
29.0
1
BG-3BRU
BG-3BRU (46-47.5)
BG-3BRU
BG-3BRU(10-10.5)
46.3
1
0.38
0
159
0
324
0
4.9
1 18.1
1
34.3
1
BG-3BRU
BG-3BRU(20-20.5)
53.4
1
0.39
0
129
1
338
0
5.3
1 28.2
1
44.5
1
BG-3BRU
BG-3BRU(29-30.5)
54.8
1
0.55
0
575
1
438
0
5.3
1 45.2
1
46.1
1
BG-3BRU
BG-3BRU(39-40.5)
43.8
1
0.51
0
1250
1
415
0
6.1
1 70.0
1
26.0
1
Units mg/Kg dry wt, except for pH
D_Magnes
D_Man
D_Molyb
Location ID
Sample ID
Iron D_Iron
Lead
D_Lead
Magnesium
ium
Manganese
ganese
Mercury
D_Mercury
Molybdenum
denum
BG-1D
BG-1D(16.4-17.9)
27800
1
7.5
0
6370
1
656
1
0.0120
0
3.7
0
BG-lD
BG-1D(20-21.5)
31400
1
4.5
1
7780
1
470
1
0.0120
0
3.7
0
BG-11)
BG-1D(23.6-25.1
22900
1
3.7
1
6880
1
619
1
0.0120
0
3.5
0
BG-11)
BG-1D(9.8-11.2)
41500
1
6.5
1
2540
1
1110
1
0.0091
1
3.4
0
BG-21)
BG-2D(10-11.5)
48100
1
7.3
0
270
1
238
1
0.0120
0
3.6
0
BG-2D
BG-2D(13.5-15)
36000
1
5.0
1
2070
1
885
1
0.0140
0
4.4
0
BG-2D
BG-2D(18.5-20)
39800
1
8.8
1
3410
1
3620
1
0.0160
1
4.1
0
BG-2D
BG-2D(20.5-22)
24100
1
8.2
0
1580
1
304
1
0.0130
0
4.1
0
BG-2D
BG-2D(26-27.5)
18400
1
8.2
0
6350
1
251
1
0.0130
0
4.1
0
BG-3BRU
BG-3BRU (46-47.5)
BG-3BRU
BG-3BRU(10-10.5)
48800
1
4.0
1
9100
1
424
1
0.0084
1
3.2
0
BG-3BRU
BG-3BRU(20-20.5)
60900
1
5.1
1
10600
1
472
1
0.0100
0
3.3
0
BG-3BRU
BG-3BRU(29-30.5)
68800
1
6.2
1
8180
1
449
1
0.0100
0
4.6
0
BG-3BRU
BG-3BRU(39-40.5)
47000
1
4.9
1
11300
1
757
1
0.0100
0
4.2
0
Units mg/Kg dry wt, except for pH
D_Nitra
Percent
Location ID
Sample ID
Nickel D_Nickel Nitrate
to
Moisture
BG-lD
BG-1D(16.4-17.9)
10.2
1
37.0
0
32.8
BG-lD
BG-1D(20-21.5)
4.0
1
36.5
0
32.0
BG-ID
BG-1D(23.6-25.1
4.2
1
37.3
0
31.8
BG-lD
BG-1D(9.8-11.2)
4.3
1
35.1
0
28.6
BG-2D
BG-2D(10-11.5)
1.6
1
38.0
0
33.7
BG-2D
BG-2D(13.5-15)
3.6
1
42.9
0
42.5
BG-2D
BG-2D(18.5-20)
10.9
1
41.2
0
38.3
BG-2D
BG-2D(20.5-22)
3.4
1
40.5
0
37.7
BG-2D
BG-2D(26-27.5)
3.5
1
40.1
0
36.7
BG-3BRU
BG-3BRU (46-47.5)
21.9
BG-3BRU
BG-3BRU(10-10.5)
11.1
1
32.4
0
23.1
BG-3BRU
BG-3BRU(20-20.5)
30.0
1
33.8
0
26.1
BG-3BRU
BG-3BRU(29-30.5)
21.4
1
43.8
0
42.8
BG-3BRU
BG-3BRU(39-40.5)
21.5
1
41.5
0
40.7
D_Percent D-PH
Moisture pH (field) (field) Potassium
1
5.8
1
1210
1
5.6
1
1380
1
5.6
1
992
1
5.1
1
482
1
4.9
1
363
1
4.8
1
1140
1
5.1
1
478
1
5.2
1
653
1
5.9
1
1380
1
1
5.4
1
7050
1
5.4
1
8350
1
6.0
1
4590
1
6.0
1
7390
Units mg/Kg dry wt, except for pH
D_Pot
D_Seleniu
D_Sodiu
assium Selenium
in
Sodium in
1 7.5
0
374 0
1 7.4
0
372 0
l 7.0
0
348 0
1 6.8
0
342 0
0 7.3
0
363 0
1 8.8
0
438 0
1 7.2
1
408 0
1 8.2
0
412 0
1 8.2
0
408 0
1 3.2
0
318 0
1 6.5
0
326 0
1 4.6
0
459 0
1 4.2
0
423 0
Location ID
BG-1D
BG-lD
BG-1D
BG-1D
BG-2D
BG-2D
BG-2D
BG-2D
BG-2D
BG-3BRU
BG-3BRU
BG-3BRU
BG-3BRU
BG-3BRU
Sample ID
BG-1D(16.4-17.9)
BG-1 D(20-21.5)
BG-1D(23.6-25.1
BG-1D(9.8-11.2)
BG-2D(10-11.5)
BG-2D(13.5-15)
BG-2D(18.5-20)
BG-2D(20.5-22)
BG-2D(26-27.5)
BG-3BRU (46-47.5)
BG-3BRU(10-10.5)
BG-3BRU(20-20.5)
BG-3BRU(29-30.5)
BG-3BRU(39-40.5)
D_Stro
Strontium ntium
17.5 1
22.4 1
22.6 1
7.0 1
3.6
4.4
4.1
3.9 1
18.1 1
Sulfate D_Sulfate
370 0
365 0
373 0
351 0
380 0
429 0
412 0
405 0
401 0
Total
D_Thalliu Organic
Thallium
m Carbon
7.5
0
7.4
0
7.0
0
6.8
0
7.3
0
8.8
0
8.2
0
8.2
0
8.2
0
3.2
0
324
0
3.2 0
4.3
1
338
0
3.3 0
11.2
1
438
0
4.6 0
17.7
1
415
0
4.2 0
D_Total
Organic
D_Vanadiu
Carbon
Vanadium
InZinc
D_Zinc
105.0
1
75.5 1
105.0
1
85.7 1
70.1
1
72.7 1
143.0
1
37.3 1
120.0
1
11.3 1
95.2
1
25.1 1
116.0
1
83.9 1
78.2
1
26.2 1
50.7
1
70.8 1
766
0
426
1
118.0
1
66.4 1
810
0
155.0
1
64.1 1
1050
0
197.0
1
60.4 1
1010
0
124.0
1
95.3 1
Units mg/Kg dry wt, except for pH
Attachment 6
ProUCL 5.0.00 Printout
BTV Background Statistics for Data Sets with Non -Detects
User Selected Options
Date/Time of Computation #############
From File ProUCL data BUCK - REVISED 20151029022052.xls
Full Precision OFF
Confidence Coefficient 95%
Coverage 95%
Different or Future K Observations 1
Number of Bootstrap Operations 2000
Aluminum
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
A-D Test Statistic
5%A-D Critical Value
K-S Test Statistic
5% K-S Critical Value
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MLE)
Theta hat (MLE)
nu hat (MLE)
MLE Mean (bias corrected)
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
95% Hawkins Wixley (HW) Approx. Gamma UPL
95% WH Approx. Gamma UTL with 95% Coverage
95% HW Approx. Gamma UTL with 95% Coverage
95% WH USL
Lognormal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Lognormal at 5% Significance Level
13 Number of Distinct Observations
12
Number of Missing Observations
1
11500 First Quartile
13400
20700 Median
15500
21700 Third Quartile
19700
16200 SD
3358
0.207 Skewness
0.427
9.673 SD of logged Data
0.205
2.671 d2max (for USL) 2.331
0.92 Shapiro Wilk GOF Test
0.866 Data appear Normal at 5% Significance Level
0.198 Lilliefors GOF Test
0.246 Data appear Normal at 5% Significance Level
25169 90% Percentile (z) 20504
22411 95% Percentile (z) 21724
24026 99% Percentile (z) 24012
0.422 Anderson -Darling Gamma GOF Test
0.733 Detected data appear Gamma Distributed at 5% Significance Level
0.178 Kolmogrov-Smirnoff Gamma GOF Test
0.236 Detected data appear Gamma Distributed at 5% Significance Level
25.8 k star (bias corrected MLE) 19.9
628 Theta star (bias corrected MLE) 814.2
670.7 nu star (bias corrected) 517.3
16200 MLE Sd (bias corrected) 3632
22886 90% Percentile 20994
22960 95% Percentile 22600
26495 99% Percentile 25823
26712
24956 95% HW USL 25105
0.94 Shapiro Wilk Lognormal GOF Test
0.866 Data appear Lognormal at 5% Significance Level
0.163 Lilliefors Lognormal GOF Test
0.246 Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage 27460 90% Percentile (z) 20657
95% UPL (t) 23207 95% Percentile (z) 22254
95% USL 25610 99% Percentile (z) 25588
Nonparametric Distribution Free Background Statistics
Data appear Normal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r
Approximate f
95% Percentile Bootstrap UTL with 95% Coverage
95% UPL
90% Chebyshev UPL
95% Chebyshev UPL
95% USL
13 95% UTL with 95% Coverage
0.684 Confidence Coefficient (CC) achieved by UTL
21700 95% BCA Bootstrap UTL with 95% Coverage
21700 90% Percentile
26655 95% Percentile
31390 99% Percentile
21700
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Antimony
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
Minimum Detect
Maximum Detect
Variance Detected
Mean Detected
Mean of Detected Logged Data
13 Number of Missing Observations
11
0 Number of Non -Detects
0 Number of Distinct Non -Detects
N/A Minimum Non -Detect
N/A Maximum Non -Detect
N/A Percent Non -Detects
N/A SD Detected
N/A SD of Detected Logged Data
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDs!
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit!
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Antimony was not processed!
Arsenic
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
Minimum Detect
Maximum Detect
Variance Detected
Mean Detected
Mean of Detected Logged Data
13 Number of Missing Observations
11
1 Number of Non -Detects
1 Number of Distinct Non -Detects
1.7 Minimum Non -Detect
1.7 Maximum Non -Detect
N/A Percent Non -Detects
1.7 SD Detected
0.531 SD of Detected Logged Data
21700
0.487
21700
20600
21100
21580
1
13
11
3.2
8.8
100 %
N/A
N/A
1
12
10
4.2
8.8
92.31%
N/A
N/A
Warning: Only one distinct data value was detected! ProUCL (or any other software) should not be used on such a data set!
It is suggested to use alternative site specific values determined by the Project Team to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Arsenic was not processed!
Barium
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
A-D Test Statistic
5% A-D Critical Value
K-S Test Statistic
5% K-S Critical Value
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics
13 Number of Distinct Observations
13
Number of Missing Observations
1
27.9 First Quartile
133
219 Median
152
344 Third Quartile
171
156.3 SD
75.08
0.48 Skewness
1.004
4.923 SD of logged Data
0.59
2.671 d2max (for USL) 2.331
0.917 Shapiro Wilk GOF Test
0.866 Data appear Normal at 5% Significance Level
0.192 Lilliefors GOF Test
0.246 Data appear Normal at 5% Significance Level
356.9 90% Percentile (z) 252.6
295.2 95% Percentile (z) 279.8
331.3 99% Percentile (z) 331
0.518 Anderson -Darling Gamma GOF Test
0.737 Detected data appear Gamma Distributed at 5% Significance Level
0.211 Kolmogrov-Smirnoff Gamma GOF Test
0.238 Detected data appear Gamma Distributed at 5% Significance Level
k hat (MLE) 4.021 k star (bias corrected MLE) 3.144
Theta hat (MLE) 38.88 Theta star (bias corrected MLE) 49.72
nu hat (MLE) 104.5 nu star (bias corrected) 81.75
MLE Mean (bias corrected) 156.3 MLE Sd (bias corrected) 88.17
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL 336.7 90% Percentile 274.6
95% Hawkins Wixley (HW) Approx. Gamma UPL 348.9 95% Percentile 323.7
95% WH Approx. Gamma UTL with 95% Coverage 459.6 99% Percentile 430.1
95% HW Approx. Gamma UTL with 95% Coverage 490.6
95% WH USL 405.6 95% HW USL 427.5
Lognormal GOF Test
Shapiro Wilk Test Statistic 0.859 Shapiro Wilk Lognormal GOF Test
5% Shapiro Wilk Critical Value 0.866 Data Not Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.247 Lilliefors Lognormal GOF Test
5% Lilliefors Critical Value 0.246 Data Not Lognormal at 5% Significance Level
Data Not Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage 664.6 90% Percentile (z) 292.7
95% UPL (t) 409.2 95% Percentile (z) 362.7
95% USL 543.6 99% Percentile (z) 542.2
Nonparametric Distribution Free Background Statistics
Data appear Normal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r 13 95% UTL with 95% Coverage 344
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL 0.487
95% Percentile Bootstrap UTL with 95% Coverage 344 95% BCA Bootstrap UTL with 95% Coverage 344
95% UPL 344 90% Percentile 216.4
90% Chebyshev UPL 390.1 95% Percentile 269
95% Chebyshev UPL 496 99% Percentile 329
95% USL 344
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Beryllium
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
A-D Test Statistic
5%A-D Critical Value
K-S Test Statistic
5% K-S Critical Value
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MLE)
Theta hat (MLE)
nu hat (MLE)
MILE Mean (bias corrected)
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
95% Hawkins Wixley (HW) Approx. Gamma UPL
95% WH Approx. Gamma UTL with 95% Coverage
95% HW Approx. Gamma UTL with 95% Coverage
95% WH USL
Lognormal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Lognormal at 5% Significance Level
13 Number of Distinct Observations
Number of Missing Observations
0.68 First Quartile
2.8 Median
4.1 Third Quartile
1.803 SD
0.594 Skewness
0.415 SD of logged Data
2.671 d2max (for USL)
0.892 Shapiro Wilk GOF Test
0.866 Data appear Normal at 5% Significance Level
0.18 Lilliefors GOF Test
0.246 Data appear Normal at 5% Significance Level
4.663 90% Percentile (z)
3.784 95% Percentile (z)
4.299 99% Percentile (z)
13
1
0.78
1.9
2.6
1.071
0.69
0.629
2.331
3.175
3.564
4.294
0.589 Anderson -Darling Gamma GOF Test
0.739 Detected data appear Gamma Distributed at 5% Significance Level
0.187 Kolmogrov-Smirnoff Gamma GOF Test
0.238 Detected data appear Gamma Distributed at 5% Significance Level
3.019 k star (bias corrected MILE) 2.373
0.597 Theta star (bias corrected MLE) 0.76
78.48 nu star (bias corrected) 61.71
1.803 MLE Sd (bias corrected) 1.17
4.269 90% Percentile
3.37
4.38 95% Percentile
4.055
6.052 99% Percentile
5.56
6.405
5.263 95% HW USL
5.495
0.894 Shapiro Wilk Lognormal GOF Test
0.866 Data appear Lognormal at 5% Significance Level
0.179 Lilliefors Lognormal GOF Test
0.246 Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage 8.126 90% Percentile (z) 3.391
95% UPL (t) 4.847 95% Percentile (z) 4.261
95% USL 6.56 99% Percentile (z) 6.542
Nonparametric Distribution Free Background Statistics
Data appear Normal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r 13 95% UTL with 95% Coverage 4.1
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL 0.487
95% Percentile Bootstrap UTL with 95% Coverage 4.1 95% BCA Bootstrap UTL with 95% Coverage 4.1
95% UPL 4.1 90% Percentile 2.78
90% Chebyshev UPL 5.137 95% Percentile 3.32
95% Chebyshev UPL 6.647 99% Percentile 3.944
95% USL 4.1
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Boron
General Statistics
Total Number of Observations
13 Number of Missing Observations
1
Number of Distinct Observations
12
Number of Detects
4 Number of Non -Detects
9
Number of Distinct Detects
4 Number of Distinct Non -Detects
8
Minimum Detect
43.8 Minimum Non -Detect
17.4
Maximum Detect
54.8 Maximum Non -Detect
90.7
Variance Detected
28.67 Percent Non -Detects
69.23%
Mean Detected
49.58 SD Detected
5.354
Mean of Detected Logged Data
3.899 SD of Detected Logged Data
0.109
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.671 d2max (for USL)
2.331
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.89 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.748 Detected Data appear Normal at 5% Significance Level
Lilliefors Test Statistic 0.263 Lilliefors GOF Test
5% Lilliefors Critical Value 0.443 Detected Data appear Normal at 5% Significance Level
Detected Data appear Normal at 5% Significance Level
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 29.1 SD 15.73
95% UTL95% Coverage 71.11 95% KM UPL (t) 58.19
90% KM Percentile (z) 49.26 95% KM Percentile (z) 54.97
99% KM Percentile (z) 65.69 95% KM USL 65.76
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 27.34 SD 19.94
95% UTL95% Coverage 80.6 95% UPL (t) 64.22
90% Percentile (z) 52.89 95% Percentile (z) 60.14
99% Percentile (z) 73.72 95% USL 73.81
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
Gamma GOF Tests on Detected Observations Only
A-D Test Statistic
5% A-D Critical Value
K-S Test Statistic
5% K-S Critical Value
Detected data appear Gamma Distributed at 5% Significance Level
0.398 Anderson -Darling GOF Test
0.657 Detected data appear Gamma Distributed at 5% Significance Level
0.297 Kolmogrov-Smirnoff GOF
0.394 Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics on Detected Data Only
k hat (MLE) 113.4 k star (bias corrected MLE)
28.5
Theta hat (MLE) 0.437 Theta star (bias corrected MLE)
1.739
nu hat (MLE) 906.8 nu star (bias corrected)
228
MLE Mean (bias corrected) 49.58
MLE Sd (bias corrected) 9.285 95% Percentile of Chisquare (2k)
75.63
Gamma ROS Statistics using Imputed Non -Detects
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
GROS may not be used when kstar of detected data is small such as < 0.1
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
Minimum 27.99 Mean
38.11
Maximum 54.8 Median
35.17
SD 8.767 CV
0.23
k hat (MLE) 22.39 k star (bias corrected MLE)
17.27
Theta hat (MLE) 1.702 Theta star (bias corrected MLE)
2.206
nu hat (MLE) 582.2 nu star (bias corrected)
449.1
MLE Mean (bias corrected) 38.11 MLE Sd (bias corrected)
9.17
95% Percentile of Chisquare (2k) 49.26 90% Percentile
50.23
95% Percentile 54.34 99% Percentile
62.62
The following statistics are computed using Gamma ROS Statistics on Imputed Data
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 64.36 64.83 95% Approx. Gamma UPL
55.08 55.2
95% Gamma USL 60.4 60.7
The following statistics are computed using gamma distribution and KM estimates
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
k hat (KM) 3.423 nu hat (KM)
89
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 84.13 86.83 95% Approx. Gamma UPL
61.71 62.35
95% Gamma USL 74.28 75.94
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic 0.892 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.748 Detected Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.265 Lilliefors GOF Test
5% Lilliefors Critical Value 0.443 Detected Data appear Lognormal at 5% Significance Level
Detected Data appear Lognormal at 5% Significance Level
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
Mean in Original Scale 39.36 Mean in Log Scale 3.656
SD in Original Scale 7.826 SD in Log Scale 0.186
95% UTL95% Coverage 63.58 95% BCA UTL95% Coverage 54.8
95% Bootstrap (%) UTL95% Coverage 54.8 95% UPL (t) 54.58
90% Percentile (z) 49.12 95% Percentile (z) 52.55
99% Percentile (z) 59.64 95% USL 59.68
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
KM Mean of Logged Data 3.236 95% KM UTL (Lognormal)95% Coverage 97.88
KM SD of Logged Data 0.505 95% KM UPL (Lognormal) 64.66
95% KM Percentile Lognormal (z) 58.31 95% KM USL (Lognormal) 82.43
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale
27.34 Mean in Log Scale
3.013
SD in Original Scale
19.94 SD in Log Scale
0.822
95% UTL95% Coverage
182.9 95% UPL (t)
93.08
90% Percentile (z)
58.35 95% Percentile (z)
78.66
99% Percentile (z)
137.8 95% USL
138.2
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
Nonparametric Distribution Free Background Statistics
Data appear to follow a Discernible Distribution at 5% Significance Level
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
Order of Statistic, r 13 95% UTL with95% Coverage 90.7
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL 0.487
95% UPL 90.7 95% USL 90.7
95% KM Chebyshev UPL 100.2
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Cadmium
General Statistics
Total Number of Observations
13 Number of Missing Observations
1
Number of Distinct Observations
12
Number of Detects
0 Number of Non -Detects
13
Number of Distinct Detects
0 Number of Distinct Non -Detects
12
Minimum Detect
N/A
Minimum Non -Detect
0.38
Maximum Detect
N/A
Maximum Non -Detect
1.1
Variance Detected
N/A
Percent Non -Detects
100%
Mean Detected
N/A
SD Detected
N/A
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDs!
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit!
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Cadmium was not processed!
Calcium
General Statistics
Total Number of Observations
13 Number of Missing Observations
1
Number of Distinct Observations
13
Number of Detects
10 Number of Non -Detects
3
Number of Distinct Detects
10 Number of Distinct Non -Detects
3
Minimum Detect
115 Minimum Non -Detect
159
Maximum Detect
4670 Maximum Non -Detect
219
Variance Detected
2216932 Percent Non -Detects
23.08%
Mean Detected
1485 SD Detected
1489
Mean of Detected Logged Data
6.677 SD of Detected Logged Data
1.32
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.671 d2max (for USL)
2.331
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.858 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.842 Detected Data appear Normal at 5% Significance Level
Lilliefors Test Statistic 0.229 Lilliefors GOF Test
5% Lilliefors Critical Value 0.28 Detected Data appear Normal at 5% Significance Level
Detected Data appear Normal at 5% Significance Level
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 1171 SD 1366
95% UTL95% Coverage 4818 95% KM UPL (t) 3696
90% KM Percentile (z) 2921 95% KM Percentile (z) 3417
99% KM Percentile (z) 4347 95% KM USL 4353
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 1164 SD 1427
95% UTL95% Coverage 4974 95% UPL (t) 3803
90% Percentile (z) 2992 95% Percentile (z) 3511
99% Percentile (z) 4483 95% USL 4489
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
Gamma GOF Tests on Detected Observations Only
A-D Test Statistic 0.338 Anderson -Darling GOF Test
5% A-D Critical Value 0.751 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.186 Kolmogrov-Smirnoff GOF
5% K-S Critical Value 0.274 Detected data appear Gamma Distributed at 5% Significance Level
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics on Detected Data Only
k hat (MILE) 0.929 k star (bias corrected MILE)
0.717
Theta hat (MILE) 1598 Theta star (bias corrected MILE)
2071
nu hat (MILE) 18.59 nu star (bias corrected)
14.34
MILE Mean (bias corrected) 1485
MILE Sd (bias corrected) 1754 95% Percentile of Chisquare (2k)
4.84
Gamma ROS Statistics using Imputed Non -Detects
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
GROS may not be used when kstar of detected data is small such as < 0.1
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
Minimum 0.01 Mean
1142
Maximum 4670 Median
534
SD 1445 CV
1.265
k hat (MILE) 0.241 k star (bias corrected MILE)
0.237
Theta hat (MILE) 4744 Theta star (bias corrected MILE)
4830
nu hat (MILE) 6.26 nu star (bias corrected)
6.149
MILE Mean (bias corrected) 1142 MILE Sd (bias corrected)
2349
95% Percentile of Chisquare (2k) 2.327 90% Percentile
3441
95% Percentile 5621 99% Percentile
11469
The following statistics are computed using Gamma ROS Statistics on Imputed Data
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 11745 18785 95% Approx. Gamma UPL
5964 7960
95% Gamma USL 9033 13453
The following statistics are computed using gamma distribution and KM estimates
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
k hat (KM) 0.735 nu hat (KM)
19.11
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 7613 8756 95% Approx. Gamma UPL
4373 4634
95% Gamma USL 6125 6809
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic 0.923 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.842 Detected Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.19 Lilliefors GOF Test
5% Lilliefors Critical Value 0.28 Detected Data appear Lognormal at 5% Significance Level
Detected Data appear Lognormal at 5% Significance Level
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
Mean in Original Scale 1171 Mean in Log Scale 6.248
SD in Original Scale 1421 SD in Log Scale 1.404
95% UTL95% Coverage 21976 95% BCA UTL95% Coverage 4670
95% Bootstrap (%) UTL95% Coverage 4670 95% UPL (t) 6936
90% Percentile (z) 3125 95% Percentile (z) 5204
99% Percentile (z) 13546 95% USL 13626
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
KM Mean of Logged Data 6.244 95% KM UTL (Lognormal)95% Coverage 19117
KM SD of Logged Data 1.353 95% KM UPL (Lognormal) 6291
95% KM Percentile Lognormal (z) 4769 95% KM USL (Lognormal) 12060
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale 1164 Mean in Log Scale
SD in Original Scale 1427 SD in Log Scale
95% UTL95% Coverage 25415 95% UPL (t)
90% Percentile (z) 3235 95% Percentile (z)
99% Percentile (z) 15241 95% USL
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
Nonparametric Distribution Free Background Statistics
Data appear to follow a Discernible Distribution at 5% Significance Level
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
Order of Statistic, r 13 95% UTL with95% Coverage
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL
95% UPL 4670 95% USL
95% KM Chebyshev UPL 7347
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Chloride
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
Minimum Detect
Maximum Detect
Variance Detected
Mean Detected
Mean of Detected Logged Data
13 Number of Missing Observations
13
0 Number of Non -Detects
0 Number of Distinct Non -Detects
N/A Minimum Non -Detect
N/A Maximum Non -Detect
N/A Percent Non -Detects
N/A SD Detected
N/A SD of Detected Logged Data
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDs!
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit!
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Chloride was not processed!
Chromium
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
13 Number of Distinct Observations
Number of Missing Observations
2.9 First Quartile
6.9 Median
11.2 Third Quartile
5.531 SD
0.395 Skewness
1.643 SD of logged Data
2.671 d2max (for USL)
0.866 Shapiro Wilk GOF Test
0.866 Data Not Normal at 5% Significance Level
0.188 Lilliefors GOF Test
0.246 Data appear Normal at 5% Significance Level
6.18
1.484
7513
5545
15336
4670
0.487
4670
1
13
13
324
438
100 %
N/A
N/A
8
1
4.9
5.3
6.1
2.183
1.291
0.383
2.331
Data appear Approximate Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
A-D Test Statistic
5%A-D Critical Value
K-S Test Statistic
5% K-S Critical Value
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MLE)
Theta hat (MLE)
nu hat (MLE)
MLE Mean (bias corrected)
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
95% Hawkins Wixley (HW) Approx. Gamma UPL
95% WH Approx. Gamma UTL with 95% Coverage
95% HW Approx. Gamma UTL with 95% Coverage
95% WH USL
Lognormal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Nonparametric Distribution Free Background Statistics
Data appear Approximate Normal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r
Approximate f
95% Percentile Bootstrap UTL with 95% Coverage
95% UPL
90% Chebyshev UPL
95% Chebyshev UPL
95% USL
11.36 90% Percentile (z)
8.329
9.569 95% Percentile (z)
9.122
10.62 99% Percentile (z)
10.61
0.519 Anderson -Darling Gamma GOF Test
0.735 Detected data appear Gamma Distributed at 5% Significance Level
0.188 Kolmogrov-Smirnoff Gamma GOF Test
0.237 Detected data appear Gamma Distributed at 5% Significance Level
7.569 k star (bias corrected MLE)
0.731 Theta star (bias corrected MLE)
196.8 nu star (bias corrected)
5.531 MLE Sd (bias corrected)
10 90% Percentile
10.1 95% Percentile
12.77 99% Percentile
13.08
11.57 95% HW USL
0.914 Shapiro Wilk Lognormal GOF Test
0.866 Data appear Lognormal at 5% Significance Level
0.214 Lilliefors Lognormal GOF Test
0.246 Data appear Lognormal at 5% Significance Level
14.37 90% Percentile (z)
10.49 95% Percentile (z)
12.61 99% Percentile (z)
13 95% UTL with 95% Coverage
0.684 Confidence Coefficient (CC) achieved by UTL
11.2 95% BCA Bootstrap UTL with 95% Coverage
11.2 90% Percentile
12.33 95% Percentile
15.41 99% Percentile
11.2
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Cobalt
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
13 Number of Distinct Observations
Number of Missing Observations
7.3 First Quartile
70 Median
257 Third Quartile
5.874
0.942
152.7
2.282
8.582
9.739
12.17
11.78
8.443
9.703
12.59
11.2
0.487
11.2
6.9
8.62
10.68
12
1
18.1
20.9
33
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data Not Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
A-D Test Statistic
5%A-D Critical Value
K-S Test Statistic
5% K-S Critical Value
Data Not Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MLE)
Theta hat (MLE)
nu hat (MLE)
MLE Mean (bias corrected)
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
95% Hawkins Wixley (HW) Approx. Gamma UPL
95% WH Approx. Gamma UTL with 95% Coverage
95% HW Approx. Gamma UTL with 95% Coverage
95% WH USL
Lognormal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Nonparametric Distribution Free Background Statistics
Data appear Lognormal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r
Approximate f
95% Percentile Bootstrap UTL with 95% Coverage
95% UPL
90% Chebyshev UPL
95% Chebyshev UPL
95% USL
44.02 SD 66.03
1.5 Skewness 3.251
3.293 SD of logged Data 0.883
2.671 d2max (for USL) 2.331
0.514 Shapiro Wilk GOF Test
0.866 Data Not Normal at 5% Significance Level
0.339 Lilliefors GOF Test
0.246 Data Not Normal at 5% Significance Level
220.4 90% Percentile (z) 128.6
166.1 95% Percentile (z) 152.6
197.9 99% Percentile (z) 197.6
1.227 Anderson -Darling Gamma GOF Test
0.755 Data Not Gamma Distributed at 5% Significance Level
0.259 Kolmogrov-Smirnoff Gamma GOF Test
0.242 Data Not Gamma Distributed at 5% Significance Level
1.155 k star (bias corrected MLE) 0.94
38.1 Theta star (bias corrected MLE) 46.82
30.04 nu star (bias corrected) 24.44
44.02 MLE Sd (bias corrected) 45.4
140.3 90% Percentile 102.9
138.4 95% Percentile 134.8
228.2 99% Percentile 209.1
235.2
188.3 95% HW USL 190.4
0.898 Shapiro Wilk Lognormal GOF Test
0.866 Data appear Lognormal at 5% Significance Level
0.178 Lilliefors Lognormal GOF Test
0.246 Data appear Lognormal at 5% Significance Level
284.9 90% Percentile (z) 83.5
137.9 95% Percentile (z) 115.1
210.9 99% Percentile (z) 210.1
13 95% UTL with 95% Coverage 257
0.684 Confidence Coefficient (CC) achieved by UTL 0.487
257 95% BCA Bootstrap UTL with 95% Coverage 257
257 90% Percentile 65.04
249.6 95% Percentile 144.8
342.7 99% Percentile 234.6
257
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Copper
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Approximate Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
13 Number of Distinct Observations
13
Number of Missing Observations
1
26 First Quartile
34.3
56 Median
36
78.8 Third Quartile
46.1
40.98 SD
14.1
0.344 Skewness
1.769
3.668 SD of logged Data
0.3
2.671 d2max (for USL) 2.331
0.83 Shapiro Wilk GOF Test
0.866 Data Not Normal at 5% Significance Level
0.232 Lilliefors GOF Test
0.246 Data appear Normal at 5% Significance Level
78.64 90% Percentile (z) 59.05
67.05 95% Percentile (z) 64.17
73.84 99% Percentile (z) 73.78
A-D Test Statistic 0.529 Anderson -Darling Gamma GOF Test
5% A-D Critical Value 0.734 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.216 Kolmogrov-Smirnoff Gamma GOF Test
5% K-S Critical Value 0.237 Detected data appear Gamma Distributed at 5% Significance Level
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MLE)
Theta hat (MLE)
nu hat (MLE)
MLE Mean (bias corrected)
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
95% Hawkins Wixley (HW) Approx. Gamma UPL
95% WH Approx. Gamma UTL with 95% Coverage
95% HW Approx. Gamma UTL with 95% Coverage
95% WH USL
Lognormal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Nonparametric Distribution Free Background Statistics
11.25 k star (bias corrected MLE) 8.702
3.644 Theta star (bias corrected MLE) 4.709
292.4 nu star (bias corrected) 226.3
40.98 MLE Sd (bias corrected) 13.89
67.5 90% Percentile
59.48
67.65 95% Percentile
66.17
83.14 99% Percentile
79.99
84.02
76.4 95% HW USL
76.91
0.928 Shapiro Wilk Lognormal GOF Test
0.866 Data appear Lognormal at 5% Significance Level
0.198 Lilliefors Lognormal GOF Test
0.246 Data appear Lognormal at 5% Significance Level
87.3 90% Percentile (z) 57.54
68.23 95% Percentile (z) 64.16
78.82 99% Percentile (z) 78.72
Data appear Approximate Normal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r
Approximate f
95% Percentile Bootstrap UTL with 95% Coverage
95% UPL
90% Chebyshev UPL
95% Chebyshev UPL
95% USL
13 95% UTL with 95% Coverage
0.684 Confidence Coefficient (CC) achieved by UTL
78.8 95% BCA Bootstrap UTL with 95% Coverage
78.8 90% Percentile
84.87 95% Percentile
104.8 99% Percentile
78.8
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Iron
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
A-D Test Statistic
5% A-D Critical Value
K-S Test Statistic
5% K-S Critical Value
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MLE)
Theta hat (MLE)
nu hat (MLE)
MLE Mean (bias corrected)
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
95% Hawkins Wixley (HW) Approx. Gamma UPL
95% WH Approx. Gamma UTL with 95% Coverage
95% HW Approx. Gamma UTL with 95% Coverage
95% WH USL
Lognormal GOF Test
13 Number of Distinct Observations
Number of Missing Observations
18400 First Quartile
60900 Median
68800 Third Quartile
39654 SD
0.379 Skewness
10.52 SD of logged Data
2.671 d2max (for USL)
0.963 Shapiro Wilk GOF Test
0.866 Data appear Normal at 5% Significance Level
0.118 Lilliefors GOF Test
0.246 Data appear Normal at 5% Significance Level
79790 90% Percentile (z)
67447 95% Percentile (z)
74674 99% Percentile (z)
78.8
0.487
78.8
54.06
65.12
76.06
13
1
27800
39800
48100
15027
0.458
0.394
2.331
58911
64371
74611
0.178 Anderson -Darling Gamma GOF Test
0.735 Detected data appear Gamma Distributed at 5% Significance Level
0.109 Kolmogrov-Smirnoff Gamma GOF Test
0.237 Detected data appear Gamma Distributed at 5% Significance Level
7.383 k star (bias corrected MILE) 5.731
5371 Theta star (bias corrected MLE) 6920
192 nu star (bias corrected) 149
39654 MILE Sd (bias corrected) 16565
72231 90% Percentile 61807
73166 95% Percentile 70235
92503 99% Percentile 87934
95165
83695 95% HW USL 85520
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Lognormal at 5% Significance Level
0.974 Shapiro Wilk Lognormal GOF Test
0.866 Data appear Lognormal at 5% Significance Level
0.113 Lilliefors Lognormal GOF Test
0.246 Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage 106071 90% Percentile (z) 61329
95% UPL (t) 76724 95% Percentile (z) 70775
95% USL 92746 99% Percentile (z) 92593
Nonparametric Distribution Free Background Statistics
Data appear Normal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r 13 95% UTL with 95% Coverage 68800
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL 0.487
95% Percentile Bootstrap UTL with 95% Coverage 68800 95% BCA Bootstrap UTL with 95% Coverage 68800
95% UPL 68800 90% Percentile 58480
90% Chebyshev UPL 86436 95% Percentile 64060
95% Chebyshev UPL 107626 99% Percentile 67852
95% USL 68800
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Lead
General Statistics
Total Number of Observations
13 Number of Missing Observations
1
Number of Distinct Observations
12
Number of Detects
9 Number of Non -Detects
4
Number of Distinct Detects
9 Number of Distinct Non -Detects
3
Minimum Detect
3.7 Minimum Non -Detect
7.3
Maximum Detect
8.8 Maximum Non -Detect
8.2
Variance Detected
2.446 Percent Non -Detects
30.77%
Mean Detected
5.411 SD Detected
1.564
Mean of Detected Logged Data
1.655 SD of Detected Logged Data
0.266
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.671 d2max (for USL)
2.331
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.888 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.829 Detected Data appear Normal at 5% Significance Level
Lilliefors Test Statistic 0.246 Lilliefors GOF Test
5% Lilliefors Critical Value 0.295 Detected Data appear Normal at 5% Significance Level
Detected Data appear Normal at 5% Significance Level
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 5.281 SD 1.341
95% UTL95% Coverage 8.864 95% KM UPL (t) 7.762
90% KM Percentile (z) 7 95% KM Percentile (z) 7.487
99% KM Percentile (z) 8.401 95% KM USL 8.407
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 4.946 SD 1.474
95% UTL95% Coverage 8.882 95% UPL (t) 7.672
90% Percentile (z) 6.835 95% Percentile (z) 7.37
99% Percentile (z) 8.374 95% USL 8.38
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
Gamma GOF Tests on Detected Observations Only
A-D Test Statistic
5% A-D Critical Value
K-S Test Statistic
5% K-S Critical Value
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics on Detected Data Only
k hat (MLE)
Theta hat (MLE)
nu hat (MLE)
MLE Mean (bias corrected)
MLE Sd (bias corrected)
0.323 Anderson -Darling GOF Test
0.721 Detected data appear Gamma Distributed at 5% Significance Level
0.224 Kolmogrov-Smirnoff GOF
0.279 Detected data appear Gamma Distributed at 5% Significance Level
15.25 k star (bias corrected MLE)
0.355 Theta star (bias corrected MLE)
274.4 nu star (bias corrected)
5.411
1.691 95% Percentile of Chisquare (2k)
Gamma ROS Statistics using Imputed Non -Detects
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
GROS may not be used when kstar of detected data is small such as < 0.1
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
Minimum 3.7 Mean
Maximum 8.8 Median
SD 1.315 CV
k hat (MLE) 20.4 k star (bias corrected MLE)
Theta hat (MLE) 0.259 Theta star (bias corrected MLE)
nu hat (MLE) 530.5 nu star (bias corrected)
MLE Mean (bias corrected) 5.292 MLE Sd (bias corrected)
95% Percentile of Chisquare (2k) 45.58 90% Percentile
95% Percentile 7.659 99% Percentile
The following statistics are computed using Gamma ROS Statistics on Imputed Data
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
WH HW
95% Approx. Gamma UTL with 95% Coverage 9.132 9.191 95% Approx. Gamma UPL
95% Gamma USL 8.548 8.583
The following statistics are computed using gamma distribution and KM estimates
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
k hat (KM) 15.5 nu hat (KM)
95% Approx. Gamma UTL with 95% Coverage
95% Gamma USL
WH HW
9.263 9.334 95% Approx. Gamma UPL
8.653 8.697
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Detected Data appear Lognormal at 5% Significance Level
10.24
0.529
184.3
32.01
5.292
5.018
0.248
15.75
0.336
409.4
1.333
7.056
8.877
WH HW
7.766 7.777
403
WH HW
7.837 7.853
0.95 Shapiro Wilk GOF Test
0.829 Detected Data appear Lognormal at 5% Significance Level
0.206 Lilliefors GOF Test
0.295 Detected Data appear Lognormal at 5% Significance Level
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
Mean in Original Scale 5.279 Mean in Log Scale 1.639
SD in Original Scale 1.314 SD in Log Scale 0.224
95% UTL95% Coverage 9.365 95% BCA UTL95% Coverage 8.8
95% Bootstrap (%) UTL95% Coverage 8.8 95% UPL (t) 7.792
90% Percentile (z) 6.862 95% Percentile (z) 7.443
99% Percentile (z) 8.669 95% USL 8.678
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
KM Mean of Logged Data 1.635 95% KM UTL (Lognormal)95% Coverage 9.587
KM SD of Logged Data 0.234 95% KM UPL (Lognormal) 7.911
95% KM Percentile Lognormal (z) 7.54 95% KM USL (Lognormal) 8.853
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale 4.946 Mean in Log Scale 1.564
SD in Original Scale 1.474 SD in Log Scale 0.262
95% UTL95% Coverage
9.612 95% UPL (t)
90% Percentile (z) 6.683 95% Percentile (z)
99% Percentile (z) 8.783 95% USL
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
Nonparametric Distribution Free Background Statistics
Data appear to follow a Discernible Distribution at 5% Significance Level
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
Order of Statistic, r 13 95% UTL with95% Coverage
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL
95% UPL 8.8 95% USL
95% KM Chebyshev UPL
11.35
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Magnesium
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
13 Number of Distinct Observations
Number of Missing Observations
270 First Quartile
10600 Median
11300 Third Quartile
5879 SD
0.61 Skewness
8.355 SD of logged Data
2.671 d2max (for USL)
0.946 Shapiro Wilk GOF Test
0.866 Data appear Normal at 5% Significance Level
0.168 Lilliefors GOF Test
0.246 Data appear Normal at 5% Significance Level
15451 90% Percentile (z)
12508 95% Percentile (z)
14231 99% Percentile (z)
7.754
7.349
8.793
13
1
2540
6370
8180
3584
-0.097
1.046
2.331
10472
11774
14216
A-D Test Statistic 0.568 Anderson -Darling Gamma GOF Test
5% A-D Critical Value 0.748 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.256 Kolmogrov-Smirnoff Gamma GOF Test
5% K-S Critical Value 0.24 Data Not Gamma Distributed at 5% Significance Level
Detected data follow Appr. Gamma Distribution at 5% Significance Level
Gamma Statistics
k hat (MILE)
Theta hat (MILE)
nu hat (MILE)
MILE Mean (bias corrected)
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
95% Hawkins Wixley (HW) Approx. Gamma UPL
95% WH Approx. Gamma UTL with 95% Coverage
95% HW Approx. Gamma UTL with 95% Coverage
1.688 k star (bias corrected MILE) 1.35
3482 Theta star (bias corrected MILE) 4355
43.9 nu star (bias corrected) 35.1
5879 MILE Sd (bias corrected) 5060
17060 90% Percentile 12571
18613 95% Percentile 15869
26013 99% Percentile 23367
30178
95% WH USL 21997 95% HW USL 24875
Lognormal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data Not Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Nonparametric Distribution Free Background Statistics
Data appear Normal at 5% Significance Level
0.822 Shapiro Wilk Lognormal GOF Test
0.866 Data Not Lognormal at 5% Significance Level
0.265 Lilliefors Lognormal GOF Test
0.246 Data Not Lognormal at 5% Significance Level
69466 90% Percentile (z)
29418 95% Percentile (z)
48653 99% Percentile (z)
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r 13 95% UTL with 95% Coverage
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL
95% Percentile Bootstrap UTL with 95% Coverage 11300 95% BCA Bootstrap UTL with 95% Coverage
95% UPL 11300 90% Percentile
90% Chebyshev UPL 17036 95% Percentile
95% Chebyshev UPL 22090 99% Percentile
95% USL 11300
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Manganese
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data Not Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
A-D Test Statistic
13 Number of Distinct Observations
Number of Missing Observations
238 First Quartile
1110 Median
3620 Third Quartile
788.8 SD
1.125 Skewness
6.363 SD of logged Data
2.671 d2max (for USL)
0.572 Shapiro Wilk GOF Test
0.866 Data Not Normal at 5% Significance Level
0.303 Lilliefors GOF Test
0.246 Data Not Normal at 5% Significance Level
3160 90% Percentile (z)
2431 95% Percentile (z)
2857 99% Percentile (z)
0.907 Anderson -Darling Gamma GOF Test
16240
23747
48440
11300
0.487
11300
10300
10880
11216
13
1
424
472
757
887.6
3.117
0.719
2.331
1926
2249
2854
5% A-D Critical Value 0.746 Data Not Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.19 Kolmogrov-Smirnoff Gamma GOF Test
5% K-S Critical Value 0.24 Detected data appear Gamma Distributed at 5% Significance Level
Detected data follow Appr. Gamma Distribution at 5% Significance Level
Gamma Statistics
k hat (MLE)
Theta hat (MLE)
nu hat (MLE)
MLE Mean (bias corrected)
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
95% Hawkins Wixley (HW) Approx. Gamma UPL
95% WH Approx. Gamma UTL with 95% Coverage
95% HW Approx. Gamma UTL with 95% Coverage
95% WH USL
Lognormal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Lognormal at 5% Significance Level
1.773 k star (bias corrected MLE)
444.9 Theta star (bias corrected MLE)
46.1 nu star (bias corrected)
788.8 MLE Sd (bias corrected)
2189 90% Percentile
2177 95% Percentile
3334 99% Percentile
3425
2821 95% HW USL
0.902 Shapiro Wilk Lognormal GOF Test
0.866 Data appear Lognormal at 5% Significance Level
0.151 Lilliefors Lognormal GOF Test
0.246 Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage 3959 90% Percentile (z)
95% UPL (t) 2193 95% Percentile (z)
95% USL 3099 99% Percentile (z)
Nonparametric Distribution Free Background Statistics
Data appear Approximate Gamma Distribution at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r
Approximate f
95% Percentile Bootstrap UTL with 95% Coverage
95% UPL
90% Chebyshev UPL
95% Chebyshev UPL
95% USL
13 95% UTL with 95% Coverage
0.684 Confidence Coefficient (CC) achieved by UTL
3620 95% BCA Bootstrap UTL with 95% Coverage
3620 90% Percentile
3552 95% Percentile
4804 99% Percentile
3620
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Mercury
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
Minimum Detect
Maximum Detect
Variance Detected
Mean Detected
Mean of Detected Logged Data
13 Number of Missing Observations
7
3 Number of Non -Detects
3 Number of Distinct Non -Detects
0.0084 Minimum Non -Detect
0.016 Maximum Non -Detect
1.76E-05 Percent Non -Detects
0.0112 SD Detected
-4.538 SD of Detected Logged Data
Warning: Data set has only 3 Detected Values.
This is not enough to compute meaningful or reliable statistics and estimates.
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL) 2.671 d2max (for USL)
Normal GOF Test on Detects Only
1.415
557.4
36.8
663.1
1667
2095
3066
2856
1457
1893
3090
3620
0.487
3620
1065
2114
3319
1
10
4
0.01
0.014
76.92 %
0.0042
0.351
2.331
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Detected Data appear Normal at 5% Significance Level
0.818 Shapiro Wilk GOF Test
0.767 Detected Data appear Normal at 5% Significance Level
0.355 Lilliefors GOF Test
0.512 Detected Data appear Normal at 5% Significance Level
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 0.00931 SD 0.00196
95% UTL95% Coverage 0.0145 95% KM UPL (t) 0.0129
90% KM Percentile (z) 0.0118 95% KM Percentile (z) 0.0125
99% KM Percentile (z) 0.0139 95% KM USL 0.0139
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 0.00712 SD 0.00294
95% UTL95% Coverage 0.015 95% UPL (t) 0.0126
90% Percentile (z) 0.0109 95% Percentile (z) 0.012
99% Percentile (z) 0.014 95% USL 0.014
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
Gamma GOF Tests on Detected Observations Only
Not Enough Data to Perform GOF Test
Gamma Statistics on Detected Data Only
k hat (MLE) 11.73 k star (bias corrected MLE)
N/A
Theta hat (MLE) 9.52E-04 Theta star (bias corrected MLE)
N/A
nu hat (MLE) 70.37 nu star (bias corrected)
N/A
MLE Mean (bias corrected) N/A
MLE Sd (bias corrected) N/A 95% Percentile of Chisquare (2k)
N/A
Gamma ROS Statistics using Imputed Non -Detects
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
GROS may not be used when kstar of detected data is small such as < 0.1
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
Minimum 0.0084 Mean
0.0104
Maximum 0.016 Median
0.01
SD 0.00181 CV
0.173
k hat (MLE) 44.27 k star (bias corrected MLE)
34.11
Theta hat (MLE) 2.36E-04 Theta star (bias corrected MLE)
3.06E-04
nu hat (MLE) 1151 nu star (bias corrected)
886.8
MLE Mean (bias corrected) 0.0104 MLE Sd (bias corrected)
0.00179
95% Percentile of Chisquare (2k) 88.5 90% Percentile
0.0128
95% Percentile 0.0135 99% Percentile
0.015
The following statistics are computed using Gamma ROS Statistics on Imputed Data
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 0.0153 0.0153 95% Approx. Gamma UPL
0.0137 0.0136
95% Gamma USL 0.0146 0.0146
The following statistics are computed using gamma distribution and KM estimates
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
k hat (KM) 22.53 nu hat (KM)
585.8
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 0.0144 0.0143 95% Approx. Gamma UPL
0.0126 0.0126
95% Gamma USL 0.0136 0.0136
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Detected Data appear Lognormal at 5% Significance Level
0.842 Shapiro Wilk GOF Test
0.767 Detected Data appear Lognormal at 5% Significance Level
0.344 Lilliefors GOF Test
0.512 Detected Data appear Lognormal at 5% Significance Level
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
Mean in Original Scale
SD in Original Scale
95% UTL95% Coverage
95% Bootstrap (%) UTL95% Coverage
90% Percentile (z)
99% Percentile (z)
0.00948 Mean in Log Scale
0.00229 SD in Log Scale
0.0163 95% BCA UTL95% Coverage
0.016 95% UPL (t)
0.0121 95% Percentile (z)
0.0151 95% USL
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
KM Mean of Logged Data -4.693 95% KM UTL (Lognormal)95% Coverage
KM SD of Logged Data 0.166 95% KM UPL (Lognormal)
95% KM Percentile Lognormal (z) 0.012 95% KM USL (Lognormal)
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale
0.00712 Mean in Log Scale
SD in Original Scale
0.00294 SD in Log Scale
95% UTL95% Coverage
0.0157 95% UPL (t)
90% Percentile (z)
0.0101 95% Percentile (z)
99% Percentile (z)
0.0141 95% USL
DL/2 is not a Recommended Method. DL/2 provided
for comparisons and historical reasons.
Nonparametric Distribution Free Background Statistics
Data appear to follow a Discernible Distribution at 5% Significance Level
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
Order of Statistic, r 13 95% UTL with95% Coverage
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL
95% UPL 0.016 95% USL
95% KM Chebyshev UPL 0.0182
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Molybdenum
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
Minimum Detect
Maximum Detect
Variance Detected
Mean Detected
Mean of Detected Logged Data
13 Number of Missing Observations
10
0 Number of Non -Detects
0 Number of Distinct Non -Detects
N/A Minimum Non -Detect
N/A Maximum Non -Detect
N/A Percent Non -Detects
N/A SD Detected
N/A SD of Detected Logged Data
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDs!
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit!
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Molybdenum was not processed!
Nickel
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
13 Number of Distinct Observations
Number of Missing Observations
1.6 First Quartile
21.5 Median
30 Third Quartile
9.977 SD
0.898 Skewness
-4.681
0.211
0.016
0.0137
0.0131
0.0152
0.0143
0.0124
0.0135
-5.001
0.318
0.0121
0.0114
0.0141
0.016
0.487
0.016
1
13
10
3.2
4.6
100 %
N/A
N/A
13
1
3.6
4.3
11.1
8.962
1.239
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data Not Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
1.935 SD of logged Data 0.895
2.671 d2max (for USL) 2.331
0.809 Shapiro Wilk GOF Test
0.866 Data Not Normal at 5% Significance Level
0.275 Lilliefors GOF Test
0.246 Data Not Normal at 5% Significance Level
33.91 90% Percentile (z) 21.46
26.55 95% Percentile (z) 24.72
30.86 99% Percentile (z) 30.82
A-D Test Statistic 0.713 Anderson -Darling Gamma GOF Test
5% A-D Critical Value 0.75 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.271 Kolmogrov-Smirnoff Gamma GOF Test
5% K-S Critical Value 0.241 Data Not Gamma Distributed at 5% Significance Level
Detected data follow Appr. Gamma Distribution at 5% Significance Level
Gamma Statistics
k hat (MILE)
Theta hat (MILE)
nu hat (MILE)
MILE Mean (bias corrected)
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
95% Hawkins Wixley (HW) Approx. Gamma UPL
95% WH Approx. Gamma UTL with 95% Coverage
95% HW Approx. Gamma UTL with 95% Coverage
95% WH USL
Lognormal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
1.515 k star (bias corrected MILE)
6.586 Theta star (bias corrected MILE)
39.39 nu star (bias corrected)
9.977 MILE Sd (bias corrected)
30.03 90% Percentile
31.06 95% Percentile
46.9 99% Percentile
50.94
39.3 95% HW USL
0.919 Shapiro Wilk Lognormal GOF Test
0.866 Data appear Lognormal at 5% Significance Level
0.241 Lilliefors Lognormal GOF Test
0.246 Data appear Lognormal at 5% Significance Level
75.59 90% Percentile (z)
36.25 95% Percentile (z)
55.74 99% Percentile (z)
Nonparametric Distribution Free Background Statistics
Data appear Approximate Gamma Distribution at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r 13 95% UTL with 95% Coverage
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL
95% Percentile Bootstrap UTL with 95% Coverage 30 95% BCA Bootstrap UTL with 95% Coverage
95% UPL 30 90% Percentile
90% Chebyshev UPL
95% Chebyshev UPL
95% USL
37.88 95% Percentile
50.51 99% Percentile
30
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
1.217
8.201
31.63
9.045
21.89
27.91
41.69
41.8
21.8
30.18
55.53
30
0.487
30
21.48
24.9
28.98
represents a background data set and when many onsite observations need to be compared with the BTV.
Nitrate
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
Minimum Detect
Maximum Detect
Variance Detected
Mean Detected
Mean of Detected Logged Data
13 Number of Missing Observations
13
0 Number of Non -Detects
0 Number of Distinct Non -Detects
N/A Minimum Non -Detect
N/A Maximum Non -Detect
N/A Percent Non -Detects
N/A SD Detected
N/A SD of Detected Logged Data
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDs!
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit!
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Nitrate was not processed!
pH (field)
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
A-D Test Statistic
5%A-D Critical Value
K-S Test Statistic
5% K-S Critical Value
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MLE)
Theta hat (MLE)
nu hat (MLE)
MLE Mean (bias corrected)
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
13 Number of Distinct Observations
Number of Missing Observations
4.8 First Quartile
6 Median
6 Third Quartile
5.446 SD
0.0752 Skewness
1.692 SD of logged Data
2.671 d2max (for USL)
0.941 Shapiro Wilk GOF Test
0.866 Data appear Normal at 5% Significance Level
0.114 Lilliefors GOF Test
0.246 Data appear Normal at 5% Significance Level
6.54 90% Percentile (z)
6.204 95% Percentile (z)
6.401 99% Percentile (z)
1
13
13
32.4
43.8
100 %
N/A
N/A
9
1
5.1
5.4
5.8
0.41
-0.0658
0.0756
2.331
5.971
6.12
6.399
0.307 Anderson -Darling Gamma GOF Test
0.732 Detected data appear Gamma Distributed at 5% Significance Level
0.124 Kolmogrov-Smirnoff Gamma GOF Test
0.236 Detected data appear Gamma Distributed at 5% Significance Level
190.4 k star (bias corrected MLE) 146.5
0.0286 Theta star (bias corrected MLE) 0.0372
4950 nu star (bias corrected) 3809
5.446 MLE Sd (bias corrected) 0.45
6.232 90% Percentile 6.03
95% Hawkins Wixley (HW) Approx. Gamma UPL 6.235 95% Percentile 6.207
95% WH Approx. Gamma UTL with 95% Coverage 6.608 99% Percentile 6.547
95% HW Approx. Gamma UTL with 95% Coverage 6.618
95% WH USL 6.45 95% HW USL 6.457
Lognormal GOF Test
Shapiro Wilk Test Statistic 0.941 Shapiro Wilk Lognormal GOF Test
5% Shapiro Wilk Critical Value 0.866 Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.118 Lilliefors Lognormal GOF Test
5% Lilliefors Critical Value 0.246 Data appear Lognormal at 5% Significance Level
Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage 6.648 90% Percentile (z) 5.985
95% UPL (t) 6.247 95% Percentile (z) 6.151
95% USL 6.479 99% Percentile (z) 6.477
Nonparametric Distribution Free Background Statistics
Data appear Normal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r 13 95% UTL with 95% Coverage 6
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL 0.487
95% Percentile Bootstrap UTL with 95% Coverage 6 95% BCA Bootstrap UTL with 95% Coverage 6
95% UPL 6 90% Percentile 5.98
90% Chebyshev UPL 6.721 95% Percentile 6
95% Chebyshev UPL 7.299 99% Percentile 6
95% USL 6
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Potassium
General Statistics
Total Number of Observations
13 Number of Missing Observations
1
Number of Distinct Observations
12
Number of Detects
12 Number of Non -Detects
1
Number of Distinct Detects
11 Number of Distinct Non -Detects
1
Minimum Detect
478 Minimum Non -Detect
363
Maximum Detect
8350 Maximum Non -Detect
363
Variance Detected
9173703 Percent Non -Detects
7.69%
Mean Detected
2925 SD Detected
3029
Mean of Detected Logged Data
7.463 SD of Detected Logged Data
1.064
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.671 d2max (for USL)
2.331
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.751 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.859 Data Not Normal at 5% Significance Level
Lilliefors Test Statistic 0.362 Lilliefors GOF Test
5% Lilliefors Critical Value 0.256 Data Not Normal at 5% Significance Level
Data Not Normal at 5% Significance Level
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 2728 SD 2868
95% UTL95% Coverage 10389 95% KM UPL (t) 8033
90% KM Percentile (z) 6404 95% KM Percentile (z) 7446
99% KM Percentile (z) 9401 95% KM USL 9413
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 2714 SD 2998
95% UTL95% Coverage 10721 95% UPL (t) 8259
90% Percentile (z) 6556 95% Percentile (z) 7645
99% Percentile (z) 9688 95% USL 9701
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
Gamma GOF Tests on Detected Observations Only
A-D Test Statistic 0.935 Anderson -Darling GOF Test
5% A-D Critical Value 0.754 Data Not Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.309 Kolmogrov-Smirnoff GOF
5% K-S Critical Value 0.252 Data Not Gamma Distributed at 5% Significance Level
Data Not Gamma Distributed at 5% Significance Level
Gamma Statistics on Detected Data Only
k hat (MLE) 1.102 k star (bias corrected MLE)
0.882
Theta hat (MLE) 2653 Theta star (bias corrected MILE)
3315
nu hat (MLE) 26.45 nu star (bias corrected)
21.17
MLE Mean (bias corrected) 2925
MLE Sd (bias corrected) 3114 95% Percentile of Chisquare (2k)
5.527
Gamma ROS Statistics using Imputed Non -Detects
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
GROS may not be used when kstar of detected data is small such as < 0.1
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
Minimum 0.01 Mean
2700
Maximum 8350 Median
1210
SD 3011 CV
1.115
k hat (MLE) 0.47 k star (bias corrected MLE)
0.412
Theta hat (MLE) 5750 Theta star (bias corrected MILE)
6545
nu hat (MLE) 12.21 nu star (bias corrected)
10.72
MLE Mean (bias corrected) 2700 MLE Sd (bias corrected)
4204
95% Percentile of Chisquare (2k) 3.391 90% Percentile
7584
95% Percentile 11098 99% Percentile
19908
The following statistics are computed using Gamma ROS Statistics on Imputed Data
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 19813 27330 95% Approx. Gamma UPL
11191 13640
95% Gamma USL 15842 20789
The following statistics are computed using gamma distribution and KM estimates
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
k hat (KM) 0.904 nu hat (KM)
23.51
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 14937 16434 95% Approx. Gamma UPL
9061 9374
95% Gamma USL 12264 13146
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic 0.872 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.859 Detected Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.253 Lilliefors GOF Test
5% Lilliefors Critical Value 0.256 Detected Data appear Lognormal at 5% Significance Level
Detected Data appear Lognormal at 5% Significance Level
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
Mean in Original Scale 2710 Mean in Log Scale 7.267
SD in Original Scale 3001 SD in Log Scale 1.239
95% UTL95% Coverage 39229 95% BCA UTL95% Coverage 8350
95% Bootstrap (%) UTL95% Coverage 8350 95% UPL (t) 14176
90% Percentile (z) 7013 95% Percentile (z) 11000
99% Percentile (z) 25594 95% USL 25727
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
KM Mean of Logged Data 7.342 95% KM UTL (Lognormal)95% Coverage 26524
KM SD of Logged Data 1.065 95% KM UPL (Lognormal) 11063
95% KM Percentile Lognormal (z) 8896 95% KM USL (Lognormal) 18460
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale
2714 Mean in Log Scale
7.289
SD in Original Scale
2998 SD in Log Scale
1.197
95% UTL95% Coverage
35784 95% UPL (t)
13391
90% Percentile (z)
6786 95% Percentile (z)
10481
99% Percentile (z)
23691 95% USL
23810
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
Nonparametric Distribution Free Background Statistics
Data appear to follow a Discernible Distribution at 5% Significance Level
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
Order of Statistic, r 13 95% UTL with95% Coverage 8350
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL 0.487
95% UPL 8350 95% USL 8350
95% KM Chebyshev UPL 15703
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Selenium
General Statistics
Total Number of Observations 13 Number of Missing Observations 1
Number of Distinct Observations 12
Number of Detects 1 Number of Non -Detects 12
Number of Distinct Detects 1 Number of Distinct Non -Detects 11
Minimum Detect 7.2 Minimum Non -Detect 3.2
Maximum Detect 7.2 Maximum Non -Detect 8.8
Variance Detected N/A Percent Non -Detects 92.31%
Mean Detected 7.2 SD Detected N/A
Mean of Detected Logged Data 1.974 SD of Detected Logged Data N/A
Warning: Only one distinct data value was detected! ProUCL (or any other software) should not be used on such a data set!
It is suggested to use alternative site specific values determined by the Project Team to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Selenium was not processed!
Sodium
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
13 Number of Missing Observations
12
0 Number of Non -Detects
0 Number of Distinct Non -Detects
Minimum Detect
N/A
Minimum Non -Detect
Maximum Detect
N/A
Maximum Non -Detect
Variance Detected
N/A
Percent Non -Detects
Mean Detected
N/A
SD Detected
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDs!
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit!
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Sodium was not processed!
1
13
12
318
459
100 %
N/A
N/A
Strontium
General Statistics
Total Number of Observations
13 Number of Missing Observations
1
Number of Distinct Observations
13
Number of Detects
9 Number of Non -Detects
4
Number of Distinct Detects
9 Number of Distinct Non -Detects
4
Minimum Detect
3.9 Minimum Non -Detect
3.2
Maximum Detect
22.6 Maximum Non -Detect
4.4
Variance Detected
55 Percent Non -Detects
30.77%
Mean Detected
13.86 SD Detected
7.416
Mean of Detected Logged Data
2.449 SD of Detected Logged Data
0.694
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.671 d2max (for USL)
2.331
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.881 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.829 Detected Data appear Normal at 5% Significance Level
Lilliefors Test Statistic 0.244 Lilliefors GOF Test
5% Lilliefors Critical Value 0.295 Detected Data appear Normal at 5% Significance Level
Detected Data appear Normal at 5% Significance Level
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 10.63 SD 7.573
95% UTL95% Coverage 30.85 95% KM UPL (t) 24.63
90% KM Percentile (z) 20.33 95% KM Percentile (z) 23.08
99% KM Percentile (z) 28.24 95% KM USL 28.27
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 10.18 SD 8.343
95% UTL95% Coverage 32.46 95% UPL (t) 25.61
90% Percentile (z) 20.87 95% Percentile (z) 23.9
99% Percentile (z) 29.59 95% USL 29.62
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
Gamma GOF Tests on Detected Observations Only
A-D Test Statistic 0.619 Anderson -Darling GOF Test
5% A-D Critical Value 0.727 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.284 Kolmogrov-Smirnoff GOF
5% K-S Critical Value 0.281 Data Not Gamma Distributed at 5% Significance Level
Detected data follow Appr. Gamma Distribution at 5% Significance Level
Gamma Statistics on Detected Data Only
k hat (MLE)
2.937 k star (bias corrected MLE)
2.032
Theta hat (MLE)
4.717 Theta star (bias corrected MLE)
6.818
nu hat (MLE)
52.87 nu star (bias corrected)
36.58
MLE Mean (bias corrected)
13.86
MLE Sd (bias corrected)
9.719 95% Percentile of Chisquare (2k)
9.592
Gamma ROS Statistics using Imputed Non -Detects
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
GROS may not be used when kstar of detected data is small
such as < 0.1
For such situations, GROS method tends to yield inflated values
of UCLs and BTVs
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
Minimum
0.791 Mean
10.13
Maximum
22.6 Median
7
SD
8.417 CV
0.831
k hat (MLE)
1.126 k star (bias corrected MLE)
0.918
Theta hat (MLE)
8.995 Theta star (bias corrected MLE)
11.04
nu hat (MLE)
29.28 nu star (bias corrected)
23.86
MLE Mean (bias corrected)
10.13 MLE Sd (bias corrected)
10.58
95% Percentile of Chisquare (2k)
5.668 90% Percentile
23.82
95% Percentile
31.29 99% Percentile
48.73
The following statistics are computed using Gamma ROS Statistics on Imputed Data
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
WH HW WH HW
95% Approx. Gamma UTL with 95% Coverage
56.25 65.51 95% Approx. Gamma UPL 34.5 37.4
95% Gamma USL
46.37 52.42
The following statistics are computed using gamma
distribution and KM estimates
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
k hat (KM)
1.969 nu hat (KM) 51.19
WH HW WH HW
95% Approx. Gamma UTL with 95% Coverage
43.3 46.75 95% Approx. Gamma UPL 28.82 29.8
95% Gamma USL
36.82 39.03
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Detected Data appear Lognormal at 5% Significance Level
0.842 Shapiro Wilk GOF Test
0.829 Detected Data appear Lognormal at 5% Significance Level
0.28 Lilliefors GOF Test
0.295 Detected Data appear Lognormal at 5% Significance Level
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
Mean in Original Scale 10.44 Mean in Log Scale
SD in Original Scale 8.072 SD in Log Scale
95% UTL95% Coverage 82.89 95% BCA UTL95% Coverage
95% Bootstrap (%) UTL95% Coverage 22.6 95% UPL (t)
90% Percentile (z) 23.6 95% Percentile (z)
99% Percentile (z) 60.7 95% USL
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
KM Mean of Logged Data 2.067 95% KM UTL (Lognormal)95% Coverage
KM SD of Logged Data 0.792 95% KM UPL (Lognormal)
95% KM Percentile Lognormal (z) 29.07 95% KM USL (Lognormal)
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale
10.18 Mean in Log Scale
SD in Original Scale
8.343 SD in Log Scale
95% UTL95% Coverage
106.6 95% UPL (t)
90% Percentile (z)
25.14 95% Percentile (z)
99% Percentile (z)
74.48 95% USL
DL/2 is not a Recommended Method. DL/2 provided
for comparisons and historical reasons.
Nonparametric Distribution Free Background Statistics
Data appear to follow a Discernible Distribution at 5% Significance Level
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
Order of Statistic, r 13 95% UTL with95% Coverage
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL
95% UPL 22.6 95% USL
95% KM Chebyshev UPL 44.88
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Sulfate
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
Minimum Detect
Maximum Detect
13 Number of Missing Observations
13
0 Number of Non -Detects
0 Number of Distinct Non -Detects
N/A Minimum Non -Detect
N/A Maximum Non -Detect
2.003
0.904
22.6
39.44
32.78
60.93
65.51
34.18
50.03
1.893
1.039
45.38
36.68
74.81
22.6
0.487
22.6
1
13
13
324
438
Variance Detected N/A Percent Non -Detects 100%
Mean Detected N/A SD Detected N/A
Mean of Detected Logged Data N/A SD of Detected Logged Data N/A
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDs!
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit!
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Sulfate was not processed!
Thallium
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
Minimum Detect
Maximum Detect
Variance Detected
Mean Detected
Mean of Detected Logged Data
13 Number of Missing Observations
11
0 Number of Non -Detects
0 Number of Distinct Non -Detects
N/A Minimum Non -Detect
N/A Maximum Non -Detect
N/A Percent Non -Detects
N/A SD Detected
N/A SD of Detected Logged Data
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDs!
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit!
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Thallium was not processed!
Total Organic Carbon
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
Minimum Detect
Maximum Detect
Variance Detected
Mean Detected
Mean of Detected Logged Data
5 Number of Missing Observations
5
1 Number of Non -Detects
1 Number of Distinct Non -Detects
426 Minimum Non -Detect
426 Maximum Non -Detect
N/A Percent Non -Detects
426 SD Detected
6.054 SD of Detected Logged Data
1
13
11
3.2
8.8
100
N/A
N/A
0
4
4
766
1050
80
N/A
N/A
Warning: Only one distinct data value was detected! ProUCL (or any other software) should not be used on such a data set!
It is suggested to use alternative site specific values determined by the Project Team to estimate environmental parameters (e.g., EPC, BTV).
The data set for variable Total Organic Carbon was not processed!
Vanadium
General Statistics
Total Number of Observations
Minimum
Second Largest
Maximum
Mean
Coefficient of Variation
Mean of logged Data
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
13 Number of Distinct Observations
12
Number of Missing Observations
1
50.7 First Quartile
95.2
155 Median
116
197 Third Quartile
124
113.6 SD
37.97
0.334 Skewness
0.528
4.679 SD of logged Data
0.353
2.671 d2max (for USL) 2.331
Normal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Gamma GOF Test
A-D Test Statistic
5% A-D Critical Value
K-S Test Statistic
0.97 Shapiro Wilk GOF Test
0.866 Data appear Normal at 5% Significance Level
0.162 Lilliefors GOF Test
0.246 Data appear Normal at 5% Significance Level
215 90% Percentile (z) 162.3
183.9 95% Percentile (z) 176.1
202.1 99% Percentile (z) 202
0.22 Anderson -Darling Gamma GOF Test
0.734 Detected data appear Gamma Distributed at 5% Significance Level
0.141 Kolmogrov-Smirnoff Gamma GOF Test
5% K-S Critical Value
0.237 Detected data appear Gamma Distributed at 5% Significance Level
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MILE)
9.346 k star (bias corrected MILE) 7.241
Theta hat (MILE)
12.16 Theta star (bias corrected MLE) 15.69
nu hat (MILE)
243 nu star (bias corrected) 188.3
MILE Mean (bias corrected)
113.6 MILE Sd (bias corrected) 42.23
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL
95% Hawkins Wixley (HW) Approx. Gamma UPL
95% WH Approx. Gamma UTL with 95% Coverage
95% HW Approx. Gamma UTL with 95% Coverage
95% WH USL
Lognormal GOF Test
Shapiro Wilk Test Statistic
5% Shapiro Wilk Critical Value
Lilliefors Test Statistic
5% Lilliefors Critical Value
Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage
95% UPL (t)
95% USL
Nonparametric Distribution Free Background Statistics
Data appear Normal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r
Approximate f
95% Percentile Bootstrap UTL with 95% Coverage
95% UPL
90% Chebyshev UPL
95% Chebyshev UPL
95% USL
195.4 90% Percentile 170
197.7 95% Percentile 190.8
244.6 99% Percentile 234.1
250.8
223.3 95% HW USL 227.7
0.968 Shapiro Wilk Lognormal GOF Test
0.866 Data appear Lognormal at 5% Significance Level
0.165 Lilliefors Lognormal GOF Test
0.246 Data appear Lognormal at 5% Significance Level
276.2 90% Percentile (z) 169.1
206.7 95% Percentile (z) 192.3
244.9 99% Percentile (z) 244.5
13 95% UTL with 95% Coverage
197
0.684 Confidence Coefficient (CC) achieved by UTL
0.487
197 95% BCA Bootstrap UTL with 95% Coverage
197
197 90% Percentile
152.6
231.8 95% Percentile
171.8
285.4 99% Percentile
192
197
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
Zinc
General Statistics
Total Number of Observations
13 Number of Distinct Observations
13
Number of Missing Observations
1
Minimum
11.3 First Quartile
37.3
Second Largest
85.7 Median
66.4
Maximum
95.3 Third Quartile
75.5
Mean
59.59 SD
26.3
Coefficient of Variation
0.441 Skewness
-0.629
Mean of logged Data
3.946 SD of logged Data
0.63
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.671 d2max (for USL)
2.331
Normal GOF Test
Shapiro Wilk Test Statistic 0.919 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.866 Data appear Normal at 5% Significance Level
Lilliefors Test Statistic 0.205 Lilliefors GOF Test
5% Lilliefors Critical Value 0.246 Data appear Normal at 5% Significance Level
Data appear Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage 129.8 90% Percentile (z) 93.29
95% UPL (t) 108.2 95% Percentile (z) 102.8
95% USL 120.9 99% Percentile (z) 120.8
Gamma GOF Test
A-D Test Statistic
0.847 Anderson -Darling Gamma GOF Test
5% A-D Critical Value
0.738 Data Not Gamma Distributed at 5% Significance Level
K-S Test Statistic
0.272 Kolmogrov-Smirnoff Gamma GOF Test
5% K-S Critical Value
0.238 Data Not Gamma Distributed at 5% Significance Level
Data Not Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MLE) 3.69 k star (bias corrected MLE) 2.89
Theta hat (MLE) 16.15 Theta star (bias corrected MLE) 20.62
nu hat (MLE) 95.94 nu star (bias corrected) 75.14
MLE Mean (bias corrected) 59.59 MLE Sd (bias corrected) 35.06
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL 132.3 90% Percentile 106.6
95% Hawkins Wixley (HW) Approx. Gamma UPL 138.2 95% Percentile 126.4
95% WH Approx. Gamma UTL with 95% Coverage 182.6 99% Percentile 169.5
95% HW Approx. Gamma UTL with 95% Coverage 197.3
95% WH USL 160.5 95% HW USL 170.9
Lognormal GOF Test
Shapiro Wilk Test Statistic 0.822 Shapiro Wilk Lognormal GOF Test
5% Shapiro Wilk Critical Value 0.866 Data Not Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.29 Lilliefors Lognormal GOF Test
5% Lilliefors Critical Value 0.246 Data Not Lognormal at 5% Significance Level
Data Not Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage 278.1 90% Percentile (z) 115.9
95% UPL (t) 165.8 95% Percentile (z) 145.7
95% USL 224.4 99% Percentile (z) 223.8
Nonparametric Distribution Free Background Statistics
Data appear Normal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r 13 95% UTL with 95% Coverage 95.3
Approximate f 0.684 Confidence Coefficient (CC) achieved by UTL 0.487
95% Percentile Bootstrap UTL with 95% Coverage 95.3 95% BCA Bootstrap UTL with 95% Coverage 95.3
95% UPL
90% Chebyshev UPL
95% Chebyshev UPL
95% USL
95.3 90% Percentile 85.34
141.5 95% Percentile 89.54
178.6 99% Percentile 94.15
95.3
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
data set free of outliers and consists of observations collected from clean unimpacted locations.
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
BUCK GROUNDWATER BACKGROUND STATISTICAL ANALYSIS
Upper prediction limits for background groundwater concentrations were developed for the Buck
site during the CSA. Data used for this analysis included all samples for compliance wells,
regardless of the turbidities measured at the time of sampling. At the request of NCDEQ, all
samples with turbidities greater than 10 NTU were eliminated from the dataset and statistical
analysis re -performed to produce new Proposed Provisional Background Concentrations
(PPBCs). The statistical package used was ProUCL (USEPA. 2013. ProUCL Version 5.0.00
Technical Guide, EPA/600/R-07/041).
The data were retested to determined if sample size was sufficient to perform statistical
analysis. Outliers were assessed and it was determined that outliers could be eliminated from
the data set. If there were enough samples, distributions were tested for normality under
different assumptions, and parametric or non -parametric upper prediction limits were developed.
For constituents where sample sizes were not sufficient to perform statistics, the upper
prediction limit used for the PPBC was the highest concentration or highest non -detect value.
No prediction limit could be developed for pH; therefore at this time, the PPBC for pH used was
the 2L standard, 6.5-8.5.
As more data become available from the newly installed background wells and the data gap
wells, PPBCs will be reviewed and re -calculated.
ProUCL Output for Buck Groundwater Background Statistics (MW-6S and MW-6D)
Alkalinity, CO3
4
4 100.0%
1 NS
Alkalinity, HCO3
4
0 0.0%
1 NS
1.076 468423.000
Alkalinity, lab
16
1 6.3%
3 NS
1.091
179155.000
Aluminum
2
0 0.0%
1 Insufficient data
_�
Antimony
28
26 92.9%
2 Downwards
0.257
0.372
Arsenic
30
29 97%
2 Downwards
As(III)
2
2 100.0%
1 Insufficient data
��II
As(V)
2
1 50.0%
1 Insufficient data
Barium
28
0 0.0%
3 NS
0.335 96.080
Beryllium
2
1 50.0%
1 Insufficient data
Boron
28
28 100.0%
1 Insufficient data
Cadmium
28
28 100.0%
2 Insufficient data
Calcium
18
0 0.0%
4 NS
0.856 24458.000
Chloride
2
0 0.0%
1 l nsufficient data
Chlorine
26
0 0.0%
4 Upwards Trend
0.264 5761.000
Chromium
30
26 86.7%
2 Downwards
0.222
2.038
1.826
Cobalt
2
1 50.0%
1 Insufficient data
Copper
28
26 92.9%
2 Downwards
0.148
0.625
Dissolved Oxygen
26
0 0.0%
1 NS
0.956 6.118
Fe(II)
1
1 100.0%
1 NS
GW Depth (TOC)
28
0 0.0%
2 Upwards Trend
0.074 23.810
GW Elevation
30
0 0.0%
2 Downwards
0.002 702.800
Iron
31
3 9.7%
6NS
1.035
400.200
386.900
Lead
28
27 96.4%
2 Downwards
Magnesium
18
0 0.0%
4 NS
0,498 10485.000
Manganese
30
13 43.3%
3 NS
1.321
192.800
200.600
Mercury
28
28 100.0%
2 Upwards Trend
Methane
2
0 0.0%
1 Insufficient data
Molybdenum
2
1 50.0%
1 Insufficient data
-�
Nickel
28
14 50.0%
3 NS
��.
0.104
7.584
Nitrate
26
1 3.8%
4 NS
0.285
729.800
Nitrogen, NO2 plus NO3
2
0 0.0%
1 Insufficient data
OneWellVol
30
0 0.0%
2 Downwards
1.136 34.690
Oxidation Reduction Potential
26
0 0.0%
2 NS
0.291 567.700
PH (field)
32
0 0.0%
2 NS
0.131 7.362
Potassium
18
1 5.6%
4 NS
0.754
4372.000
Se(IV)
2
0 0.0%
1 Insufficient data
Se(VI)
2
2 100.0%
1 Insufficient data
Selenium
28
28 100.0%
2 Downwards
Sodium
18
0 0.0%
4 NS
0.450 8726.000
Spec. Cond. (field)
32
0 0.0%
2 NS
0.523 204.800
Strontium
2
0 0.0%
1 Insufficient data
Sulfate
28
0 0.0%
4 NS
1.065 3297.000
Sulfide
2
2 100.0%
1 Insufficient data
Temp (Celcius)
32
0 0.0%
2 NS
0.129 19.800
Thallium
4
3 75.0%
2 NS
Titanium
24
24 100.0%
1 NS-III
Total Dissolved Solids
28
2 7.1%
5 NS
0.574
174391.000
Total Organic Carbon
2
2 100.0%
1 Insufficient data-�
Total Suspended Solids
4
3 75.0%
3 NS
TotalPurgeVol
30
0 0.0%
2 Downwards
_ 0.866 39.570
Turbidity, field
32
0 0.0%
2 NS
0.895 11.970
Vanadium
2
0 0.0%
1 Insufficient data
��IIII,
Zinc
28
15 53.6%
2 NS
--
0.389
11.770
10.740
Note: Values are replaced with a value equal to 1/2 the RDL for parameters with non -detects for columns AN to BC
'Series had no non -detects
Below Detection Limit (BDL)
217163.000 247535.000
126764.000
117956.000
124991.000 115330.000 122184.000
,ML
AhL
.��
,! 0.295 0.295
93.290 93,920 �--III`
89.560 4W
19929.000 20756.000
5618.000 5651.000
3.968 4.276
23.780 23.790
702.800 702.800
1.994 2.002 1.810 1.814
0.547 0.548
388.200 465,700 317.600 327.100
9697.000 9863.000
158.800
7.587
683.200
25.500 27.000
539.400 545.400
7.318 7.328
16335.000
5414.000
2.950
23.720
702.800
5000.000
468423.000 133191.000 264971.250 72000.000 Normal; Gamma; Lognormal
89907.000 72000.000 165840.000 72000.000 Non -Parametric
240.000
0.292 1.000 0.373� 1.000 Non -Parametric
1.000
0.500
-� 0.500
86.000 140.700 86.000 Non -Parametric
0.200
50.000
1.000
13000.000 30027.000 13000.000 Non -Parametric
7800.000
4900.000 7983.000 'W 4900.000 Non -Parametric
1.784 5.000 2.374 1.895 5.000 Normal; Gamma; Lognormal
4.000
0.546 5.000 0.640 5.000 Non -Parametric
2.433 5.139 2.450 Non -Parametric
40.000
24.250 27.960 23.775 24.420 Normal; Gamma; Lognormal
702.400 707.300 702.800 702.440 Normal; Lognormal
303.000 414.400 606.7 369.814 487.000 Gamma; Lognormal
1.000
8803.000
7370.000
14801.000
7370.000
Non -Parametric
196.400 131.400
140.800
105.000
123.500
212.000 160.829
135.000
Normal; Gamma; Lognormal
�IIIIIIIII■
0.200
�IIIIIII�
50.800
�IIII(
0.500
7.593 12.310
13.180
1
9.258
7.550
17.940
8.000
Non -Parametric
691.800 745.900
764.900
655.900
556.500
971.200
560.000
Non -Parametric
3688,000 3824,000 3680,000 3811,000
1�Hu
8182.000 8298.000
189.700 192.900
2546.000 2671.000 I-1111111111e
19.790
508.300
7.245
7528.000
172.900
2076.000
20.040 19.980 1IIIIIIII( 20.570
157496.000 160974.000 158702.000 162197.000 d�
39.790 39.680 �1Jff 41.010
9.666 10,04011jr- 8.364
_n=W
MI■ 13.450 14.090 10.690 10.700
500.000
15.140
37.910
15.150
Non -Parametric
509.000
746.700
540.200
523.000
Normal; Gamma; Lognormal
6.883
9.324
6.980
Non -Parametric
3089.000 5000.000
5531.000
-JL-,
5000.000
Non -Parametric
1.270
2.000
1.000
6360.000
12412.000
6360.000
Non -Parametric
148.100
296.000
',
150.000
Non -Parametric
96.000
2130.000
4003.000
=
2400.000
Non -Parametric
100.000
23.680
27.730
29.200
Non -Parametric
0.200
0.200
141802.000 250000.000
245535.000
159260.333
250000,000
Non -Parametric
1000.000
80900.000
45.340
83.460
45.750
Non -Parametric
8.724
15.840
10.010
9.270
Gamma; Lognormal
8.800
10.690 12.650
16.890
11.733
14.000
Normal; Gamma; Lognormal
5000.000 ProUCL did not output - insufficient data
72000.000
72000.000
240.000 ProUCL did not output - insufficient data
1.000
1.000 ProUCL did not output - insufficient data
0.500 ProUCL did not output - insufficient data
0.500 ProUCL did not output - insufficient data
86.000
0.200 ProUCL did not output - insufficient data
50.000 ProUCL did not output - insufficient data
1.000 ProUCL did not output - insufficient data
13000.000
7800.000 ProUCL did not output - insufficient data
4900.000
5.000
4.000 ProUCL did not output - insufficient data
5.000
2.450
40.000 ProUCL did not output - insufficient data
24.420
702.800 _
369.814
1.000 ProUCL did not output - insufficient data
7370.000
135.000
0.200 ProUCL did not output - insufficient data
50.800 ProUCL did not output - insufficient data
0.500 ProUCL did not output - insufficient data
8.000
560.000
500.000 ProUCL did not output - insufficient data
15.140
523.000
6.883
5000.000
1.270 ProUCL did not output - insufficient data
2.000 ProUCL did not output - insufficient data
1.000 ProUCL did not output - insufficient data
6360.000
148.100
96.000 ProUCL did not output - insufficient data
2400.000
100.000 ProUCL did not output - insufficient data
23.680
0.200 ProUCL did not output - insufficient data
0.200 ProUCL did not output - insufficient data
250000.000
1000.000 ProUCL did not output - insufficient data
80900.000 ProUCL did not output - insufficient data
45.340
10.010
8.800 ProUCL did not output - insufficient data
14.000
ProUCL Output for Buck Groundwater Background Statistics (MW-6S and MW-6D)
Alkalinity, CO3
0.198
0.000
Alkalinity, HCO3
0.832
0.173
Normal
0.866
0.280
Lognormal
0.965
0.502
Alkalinity, lab
sd of logged data > 1
0.763
0.001
Not Normal
0.831
0.007
Not Lognormal
0.962
0.009
Aluminum
0.921
0.230
Antimony
0.294
0.000
Not Normal
0.295
0.000
Not Lognormal
0.320
0.000
Arsenic
0.409
0.000
Not Normal
0.410
0,000
Not Lognormal
0.446
0.000
As(III)
0.390
0.000
As(V)
0.694
0.001
Barium
0.830
0.000
Not Normal
0.827
0.000
Not Lognormal
0.879
0.000
Beryllium
0.618
0.000
Boron
0.308
0.000
Cadmium
0.287
0.000
Not Normal
0.287
0.000
Not Lognormal
0.312
0.000
Calcium
0.703
0.000
Not Normal
0.698
0.000
Not Lognormal
0.577
0.000
Chloride
0.918
0.233
Chlorine
0.819
0.000
Not Normal
0.819
0.000
Not Lognormal
0.856
0.000
Chromium
0.426
0.000
Not Normal
0.425
0.000
Not Lognormal
0.431
0.000
Cobalt
0.448
0.000
Copper
0.289
0.000
Not Normal
0.291
0.000
Not Lognormal
0.211
0.000
Dissolved Oxygen
0.853
0.002
Not Normal
0.751
0.000
Not Lognormal
0.916
0.000
Fe(II)
0.498
0.000
GW Depth (TOC)
0.952
0.219
Normal
0.956
0.274
Lognormal
0.788
0.000
GW Elevation
0.956
0.245
Normal
0,956
0.244
Lognormal
0.858
0.000
Iron
sd of logged data> 1
0.789
0.000
Not Normal
0.972
0.570
Lognormal
0.219
0.000
Lead
0.288
0.000
Not Normal
0.289
0.000
Not Lognormal
0.303
0.000
Magnesium
0.733
0.000
Not Normal
0.736
0.000
Not Lognormal
0.544
0.000
Manganese
sd of logged data > 1
0.815
0.000
Not Normal
0.766
0,000
Not Lognormal
0.458
0.000
Mercury
0.287
0.000
Not Normal
0.287
0.000
Not Lognormal
0.311
0.000
Methane
0.423
0.000
Molybdenum
0.650
0.000
Nickel
0.770
0.000
Not Normal
0.701
0.000
Not Lognormal
0.636
0.000
Nitrate
0.732
0.000
Not Normal
0.549
0.000
Not Lognormal
0.823
0.000
Nitrogen, NO2 plus NO3
0.790
0.004
OneWellVol
sd of logged data > 1
0.674
0.000
Not Normal
0.713
0.000
Not Lognormal
0.748
0.000
Oxidation Reduction Potential
0.982
0.913
Normal
0.899
0.015
Not Lognormal
0.916
0.000
pH (field)
0.825
0.000
Not Normal
0.830
0.000
Not Lognormal
0.966
0.000
Potassium
0.736
0.000
Not Normal
0.704
0.000
Not Lognormal
0.892
0.000
Se(IV)
0.724
0.003
Se(VI)
0.390
0.000
Selenium
0.287
0.000
Not Normal
0.287
0.000
Not Lognormal
0.322
0.000
Sodium
0.719
0.000
Not Normal
0.718
0.000
Not Lognormal
0.965
0.008
Spec. Cond. (field)
0.746
0.000
Not Normal
0.751
0.000
Not Lognormal
0.603
0.000
Strontium
0.767
0.002
Sulfate
sd of logged data > 1
0.815
0.000
Not Normal
0.804
0.000
Not Lognormal
0.406
0.000
Sulfide
0.297
0.000
Temp (Celcius)
0.456
0.000
Not Normal
0.542
0.000
Not Lognormal
0.731
0.000
Thallium
0.838
0.189
Normal
0.863
0.270
Lognormal
0.721
0.000
Titanium
Total Dissolved Solids
0.847
0.001
Not Normal
0.845
0.001
Not Lognormal
0.572
0.000
Total Organic Carbon
0.465
0.000
Total Suspended Solids
0.643
0.002
Not Normal
0.773
0.061
Lognormal
0.492
0.000
TotalPurgeVol
0.595
0.000
Not Normal
0.738
0.000
Not Lognormal
0.697
0.000
Turbidity, field
0.881
0.002
Not Normal
0.943
0.094
Lognormal
0.928
0.000
Vanadium
0.891
0.083
Zinc
0.814
0.000
Not Normal
0.782
0,000
Not Lognormal
0.460
0.000
Note: Values are replaced with a val
'Series had no non -detects
Below Detection Limit (BDL)
Not Normal
0.198
0.000
Not Lognormal
2500.000
2500.000
0.000
2500.000
2500.000
2500.000
2750.000
3000.000
2500.000
2500.000
2500.000
2500.000
2500.000
0.000
Normal
0.312
0.000
Not Lognormal
40025.000
39950.000
32966.486
8200.000
72000.000
105957.971
79200.000
86400.000
9950.000
70175.000
0.003
-5.537
16483.243
Not Normal
0.263
0.000
Not Lognormal
38668.750
38500.000
29395.367
2500.000
72000.000
97459.485
79200.000
86400.000
9650.000
67500.000
69000.000
69900.000
-0.028
-2.192
7348.842
Normal
0.512
0.000
Not Lognormal
146.000
146.000
132.936
52.000
240.000
411.872
264.000
288.000
52.000
94.000
Not Normal
0.319
0.000
Not Lognormal
0.481
0.500
0.069
0.210
0.500
0.619
0.550
0.600
0.500
0.500
0.500
0.500
0.500
-3.606
12.088
0.013
Not Normal
0.425
0.000
Not Lognormal
0.468
0.500
0.084
0.250
0.500
0.636
0.550
0.600
0.500
0.500
0.500
0.500
0.500
-2.283
3.457
0.015
Not Normal
0.390
0.000
Not Lognormal
0.250
0.250
0.000
0.250
0.250
0.250
0.275
0.300
0.250
0.250
0.250
0.250
0.250
0.000
Not Normal
0.715
0.002
Not Lognormal
0.263
0.263
0.018
0.250
0.275
0.298
0.303
0.330
0.250
0.013
Not Normal
0.984
0.083
Lognormal
56.750
52.500
18.926
36.000
86.000
94.602
94.600
103.200
39.000
75.250
82.300
94.200
86.000
0.295
-1.668
3.577
Not Normal
0.358
0.000
Not Lognormal
0.089
0.089
0.016
0.078
0.100
0.120
0.110
0,120
0.078
0.011
Not Normal
0.320
0.000
Not Lognormal
25.000
25.000
0.000
25.000
25.000
25.000
27.500
30.000
25.000
25.000
25.000
25.000
25.000
0.000
Not Normal
0.313
0.000
Not Lognormal
0.467
0.500
0,121
0.040
0.500
0.708
0.550
0.600
0.500
0.500
0.500
0.500
0.500
-3.520
11.183
0.023
Not Normal
0.942
0.000
Not Lognormal
7240.556
6850.000
5088.193
2070.000
13000.000
17416.942
14300.000
15600.000
2325.000
12425.000
12615.000
12730.000
0.022
-2.228
1199.299
Normal
0.941
0.475
Lognormal
6250.000
6250.000
2192.031
4700.000
7800.000
10634.062
8580.000
9360,000
4700.000
1550.000
Not Normal
0.968
0.002
Not Lognormal
3757.692
4100.000
951.283
2500.000
4900.000
5660.257
5390.000
5880.000
2775.000
4700.000
4795.000
4830.000
4900.000
-0.124
-1.910
186.562
Not Normal
0.663
0.000
Not Lognormal
2.354
2.500
0,386
1.110
2.500
3.127
2.750
3.000
2.500
2.500
2.500
2.500
2,500
-2.471
4.795
0.071
Not Normal
0.719
0.001
Not Lognormal
2.125
2.125
2.652
0.250
4.000
7.428
4.400
4.800
0.250
1.875
Not Normal
0.370
0.000
Not Lognormal
2.356
2.500
0.529
0.450
2.500
3.413
2.750
3.000
2.500
2.500
2.500
2.500
2.500
-3.522
11.204
0.100
Not Normal
0.918
0.000
Not Lognormal
1.539
1.985
0.810
0.100
2.450
3.160
2.695
2.940
0.658
2.145
2.357
2.393
2.433
-0.671
-1.116
0.159
Not Normal
0.534
0.000
Not Lognormal
20.000
20.000
20.000
20.000
22.000
24.000
20.000
20.000
20.000
20.000
20.000
Not Normal
0.941
0.000
Not Lognormal
21.000
20.815
1.570
18.810
24.420
24.139
26.862
29.304
19.558
22.278
22.650
22.861
24.249
0.379
-0.611
0.297
Not Normal
0.857
0.000
Not Lognormal
700.007
700.275
1.642
696.830
702.440
703.292
772.684
842.928
698.600
701.363
702.021
702.175
702.413
-0.236
-0.944
0.300
Not Normal
0.981
0.026
Not Lognormal
108.874
58.400
114.564
5.000
487.000
338.002
535.700
584.400
31.000
142.000
210.200
307.800
414.400
1.822
3.314
20.576
Not Normal
0.284
0.000
Not Lognormal
0.468
0.500
0.117
0.050
0.500
0.703
0.550
0.600
0.500
0.500
0,500
0.500
0.500
-3.520
11.186
0.022
Not Normal
0.877
0.000
Not Lognormal
4818.889
4715.000
2229.025
2350.000
7370.000
9276.939
8107.000
8844.000
2660.000
7132.500
7220.500
7289.000
0.023
-2.200
525.386
Not Normal
0.917
0.000
Not Lognormal
36.436
17.785
40.467
2.500
135.000
117.369
148.500
162.000
2.500
72.250
85.950
99.700
123.450
0.882
-0.348
7.388
Not Normal
0.311
0.000
Not Lognormal
0.030
0.025
0.020
0.025
0.100
0.070
0.110
0.120
0.025
0.025
0.025
0.033
0.100
3.520
11.183
0.004
Not Normal
0.616
0.000
Not Lognormal
26.000
26.000
35,072
1.200
50.800
96.145
55.880
60.960
1.200
24.800
Not Normal
0.519
0.000
Not Lognormal
0.260
0.260
0.014
0.250
0.270
0.288
0.297
0.324
0.250
0.010
Not Normal
0.639
0.000
Not Lognormal
4.613
4.250
2.377
0.250
8.000
9.367
8.800
9.600
2.500
7.000
7.000
7.000
7.550
-0.058
-1.777
0.449
Not Normal
0.896
0.000
Not Lognormal
450.769
495.000
125.217
50.000
560.000
701.204
616.000
672.000
422.500
530.000
539.500
543.000
556.500
-1.990
3.620
24.557
Not Normal
0.662
0.000
Not Lognormal
385.000
395.000
162.635
270.000
500.000
710.269
550.000
600.000
270.000
115.000
Not Normal
0.885
0.000
Not Lognormal
8.215
8.170
6.702
1.120
15.150
21.618
16.665
18.180
1.605
14.855
14.990
15.080
15.139
0.000
-2.141
1.224
Not Normal
0.816
0.000
Not Lognormal
354.562
363.000
88.292
134.600
523.000
531.146
575.300
627.600
309.000
409.000
448.150
480.200
509.000
-0.423
0.498
17.316
Not Normal
0.949
0.000
Not Lognormal
5.921
5.685
0.769
4.480
6.980
7.458
7.678
8.376
5.240
6.690
6.731
6.782
6.883
-0.045
-1.732
0.136
Not Normal
0.952
0.001
Not Lognormal
1523.722
2125.000
939.829
479.000
2640.000
3403.380
2904.000
3168.000
511.750
2362.500
2500.000
2514.000
-0.183
-2.126
221.520
Not Normal
0.742
0.004
Not Lognormal
1.230
1.230
0.057
1.190
1.270
1.343
1.397
1.524
1.190
0.040
Not Normal
0.390
0.000
Not Lognormal
1.000
1.000
0.000
1.000
1.000
1.000
1.100
1.200
1.000
1.000
1.000
1.000
1.000
0.000
Not Normal
0.314
0.000
Not Lognormal
0.482
0.500
0.066
0.250
0.500
0.613
0.550
0.600
0.500
0.500
0.500
0.500
0.500
-3.520
11.183
0.012
Not Normal
0.929
0.000
Not Lognormal
4284.444
4160.000
1814.945
2380.000
6360.000
7914.335
6996,000
7632.000
2565.000
6095,000
6214.500
6252.000
0.019
-2.218
427.787
Not Normal
0.917
0.000
Not Lognormal
94.491
91.350
45.523
43.000
150.000
185.537
165.000
180.000
50.250
143.750
145.000
145.700
148.050
0.039
-2.047
8.047
Not Normal
0.533
0.000
Not Lognormal
58.000
58.000
53.740
20.000
96.000
165.480
105.600
115.200
20.000
38.000
Not Normal
0.945
0.000
Not Lognormal
941.071
465.000
712.696
140.000
2400.000
2266.464
2640.000
2880.000
190.000
1475.000
1665.000
1710.000
2130.000
0.422
-1.304
134.687
Not Normal
0.297
0.000
Not Lognormal
50.000
50.000
0,000
50.000
50.000
50.000
55.000
60.000
50.000
50.000
50.000
50.000
50.000
0.000
Not Normal
0.832
0.000
Not Lognormal
16.007
15.405
2.649
14.320
29.200
21.306
32.120
35.040
14.975
15.980
16.326
16.465
23.675
4.394
21.175
0.468
Not Normal
0.742
0.000
Not Lognormal
0.070
0.075
0.036
0.030
0.100
0.141
0.110
0.120
0.035
0.100
-0.266
-4.483
0.018
0.100
0.100
0.000
0.100
0.100
0.100
0.110
0.120
0.100
0.100
0.100
0.100
0.100
0.000
Not Normal
0.865
0.000
Not Lognormal
78821,429
95000.000
3985%061
21000.000
140000,000
158539.550
154000.000
168000.000
36500.000
117750.000
120000.000
125000.000
133250.000
-0.081
-1.807
7532.654
Not Normal
0.475
0.000
Not Lognormal
500.000
500.000
0.000
500.000
500.000
500.000
550.000
600.000
500.000
500.000
500.000
500.000
500.000
0.000
Not Normal
0.481
0.000
Not Lognormal
21787.500
2500.000
39412.739
1250.000
80900.000
100612.977
88990.000
97080.000
1562.500
61300.000
1.999
3.996
19706.369
Not Normal
0.961
0.000
Not Lognormal
13.890
6.125
15.701
3.750
45.750
45.292
50.325
54.900
4.688
12.625
45.000
45.000
45.338
1.524
0.454
2.867
Not Normal
0.924
0.000
Not Lognormal
3.604
2.585
2.764
0.500
9.270
9.133
10.197
11.124
1.353
6.303
7.524
8.061
8.724
0.687
-0.943
0.489
Normal
0.596
0.000
Not Lognormal
4.550
4.550
6.010
0.300
8.800
16.571
9.680
10.560
0.300
4.250
Not Normal
0.488
0.000
Not Lognormal
5.429
3.750
3.385
2.500
14.000
12.198
15.400
16.800
2.500
8.000
9.650
10.100
12.650
0.776
-0.340
0.640
A I B I C D I E I F G H I J K L
1
Background Statistics for Data Sets with Non -Detects
11/18/2015 11:05:13 AM
Buck_Well_Background_Data_Censored.xls
OFF
95%
2
User Selected Options
3
Date/Time of Computation
4
From File
5
Full Precision
6
Confidence Coefficient
7
Coverage
95%
8
rent or Future K Observations
1
9
mber of Bootstrap Operations
2000
10
11
VALUES (alkalinity, co3)
12
13
General Statistics
14
Total Number of Observations
4
Number of Missing Observations
0
15
Number of Distinct Observations
1
16
Number of Detects
0
Number of Non -Detects
4
17
Number of Distinct Detects
0
Number of Distinct Non -Detects
1
18
Minimum Detect
N/A
Minimum Non -Detect
5000
19
Maximum Detect
N/A
Maximum Non -Detect
5000
20
Variance Detected
N/A
Percent Non -Detects
100%
21
Mean Detected
N/A
SD Detected
N/A
22
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
23
24
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDsl
25
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit!
26
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
27
28
The data set for variable VALUES (alkalinity, co3) was not processedl
29
30
31
VALUES (alkalinity, lab)
32
33
General Statistics
34
Total Number of Observations
16
Number of Missing Observations
0
35
Number of Distinct Observations
15
36
Number of Detects
15
Number of Non -Detects
1
37
Number of Distinct Detects
14
Number of Distinct Non -Detects
1
38
Minimum Detect
6200
Minimum Non -Detect
5000
39
Maximum Detect
72000
Maximum Non -Detect
5000
40
Variance Detected
8.261 E+8
Percent Non -Detects
6.25%
41
Mean Detected
41080
SD Detected
28743
42
Mean of Detected Logged Data
10.26
SD of Detected Logged Data
0.977
43
44
Critical Values for Background Threshold Values (BTVs)
45
Tolerance Factor K (For UTL) 2.524 d2max (for USL) 2.443
46
47
Normal GOF Test on Detects Only
48
Shapiro Wilk Test Statistic
0.75
Shapiro Wilk GOF Test
49
5% Shapiro Wilk Critical Value
0.881
Data Not Normal at 5% Significance Level
50
Lilliefors Test Statistic
0.289
Lilliefors GOF Test
51
5% Lilliefors Critical Value
0.229
Data Not Normal at 5% Significance Level
52
Data Not Normal at 5% Significance Level
53
54
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
55
Mean
38825
SD
28269
56
95% UTL95% Coverage
110176
95% KM UPL (t)
89907
57
90 % KM Percentile (z)
75053
95% KM Percentile (z)
85324
58
99% KM Percentile (z)
104589
95% KM USL
107894
59
60
DL/2 Substitution Background Statistics Assuming Normal Distribution
61
Mean
38669
SD
29395
62
95% UTL95% Coverage
112863
95% UPL (t)
91786
63
90% Percentile (z)
76340
95% Percentile (z)
87020
64
99% Percentile (z)
107053
95% USL
110490
65
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
66
A B C D E F I G I H I I I J I K L
67
Gamma GOF Tests on Detected Observations Only
A-D Test Statistic 1.621 Anderson -Darling GOF Test
5% A-D Critical Value 0.753 Data Not Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.318 KolmogrovSmimoff GOF
68
69
70
71
5% K-S Critical Value
0.225
Data Not Gamma Distributed at 5% Significance Level
72
Data Not Gamma Distributed at 5% Significance Level
73
74
Gamma Statistics on Detected Data Only
75
k hat (MLE)
1.528
k star (bias corrected MLE)
1.267
76
Theta hat (MLE)
26877
Theta star (bias corrected MLE)
32418
77
nu hat (MLE)
45.85
nu star (bias corrected)
38.02
78
MLE Mean (bias corrected)
41080
79
MLE Sd (bias corrected)
36493
95% Percentile of Chisquare (2k) 6.99
80
81
Gamma ROS Statistics using Imputed Non -Detects
82
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
83
GROS may not be used when kstar of detected data is small such as < 0.1
84
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
85
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
86
Minimum
6200
Mean
38962
87
Maximum
72000
Median
38500
88
SD
29032
CV
0.745
89
k hat (MLE)
1.409
k star (bias corrected MLE)
1.187
90
Theta hat (MLE)
27643
Theta star (bias corrected MLE)
32827
91
nu hat (MLE)
45.1
nu star (bias corrected)
37.98
92
MLE Mean (bias corrected)
38962
MLE Sd (bias corrected)
35763
93
95% Percentile of Chisquare (2k)
6.697
90% Percentile
85996
94
95% Percentile
109922
99% Percentile
164802
95
The following statistics are computed using Gamma ROS Statistics on Imputed Data
96
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
97
WH
HW
WH
HW
98
Approx. Gamma UTL with 95% Coverage
176540
196907
95% Approx. Gamma UPL
117956
124991
99
95% Gamma USL
169146
187554
100
101
The following statistics are computed using gamma distribution and KM estimates
102
Upper Limits using Wilson Hifferty (WH) and Hawkins Wbdey (HW) Methods
103
k hat (KM)
1.886
nu hat (KM)
60.36
104
WH
HW
WH
HW
105
Approx. Gamma UTL with 95% Coverage
172252
192131
95% Approx. Gamma UPL
115330
122184
106
95% Gamma USL
165072
183039
107
108
Lognormal GOF Test on Detected Observations Only
109
Shapiro Wilk Test Statistic
0.787
Shapiro Wilk GOF Test
110
5% Shapiro Wilk Critical Value
0.881
Data Not Lognormal at 5% Significance Level
111
Lilliefors Test Statistic
0.314
Lilliefors GOF Test
112
5% Lilliefors Critical Value
0.229
Data Not Lognormal at 5% Significance Level
113
Data Not Lognormal at 5% Significance Level
114
115
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
116
Mean in Original Scale
38713
Mean in Log Scale
10.12
117
SD in Original Scale
29338
SD in Log Scale
1.091
118
95% UTL95% Coverage
391650
95% BCA UTL95% Coverage
72000
119
95% Bootstrap (%) UTL95% Coverage
72000
95% UPL (t)
179155
120
90% Percentile (z)
100995
95% Percentile (z)
150111
121
99% Percentile (z)
315691
95% USL
358636
122
123
Background DL/2 Statistics Assuming Lognormal Distribution
124
Mean in Original Scale
38669
Mean in Log Scale
10.11
125
SD in Original Scale
29395
SD in Log Scale
1.123
126
95% UTL95% Coverage
418421
95% UPL (t)
187016
127
90% Percentile (z)
103651
95% Percentile (z)
155878
128
99% Percentile (z)
335122
95% USL
382152
129
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
130
131
Nonparsmetric Distribution Free Background Statistics
132
Data do not follow a Discernible Distribution (0.05)
A B C D E F G H I I J I K L
133
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
Order of Statistic, r 16 95% UTL with95% Coverage 72000
134
135
136
Approximate f
0.842
Confidence Coefficient (CC) achieved by UTL
0.56
137
95% UPL
72000
951/6 USL
72000
138
95% KM Chebyshev UPL
165840
139
140
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
141
data set free of outliers and consists of observations collected from clean unimpacted locations.
142
The use of USL tends to provide a balance between false positives and false negatives provided the data
143
represents a background data set and when many onsite observations need to be compared with the BTV.
144
145
VALUES (antimony)
146
147
General Statistics
148
Total Number of Observations
28
Number of Missing Observations
0
149
Number of Distinct Observations
3
150
Number of Detects
2
Number of Non -Detects
26
151
Number of Distinct Detects
2
Number of Distinct Non -Detects
1
152
Minimum Detect
0.21
Minimum Non -Detect
1
153
Maximum Detect
0.27
Maximum Non -Detect
1
154
Variance Detected
0.0018
Percent Non -Detects
92.86%
155
Mean Detected
0.24
SD Detected
0.0424
156
Mean of Detected Logged Data
-1.435
SD of Detected Logged Data
0.178
157
158
Warning: Data set has only 2 Detected Values.
159
This is not enough to compute meaningful or reliable statistics and estimates.
160
161
162
Critical Values for Background Threshold Values (BTVs)
163
Tolerance Factor K (For UTL) 2.246 d2max (for USL) 2.714
164
165
Normal GOF Test on Detects Only
166
Not Enough Data to Perform GOF Test
167
168
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
169
Mean
0.24
SD
0.03
170
95% UTL95% Coverage
0.307
95% KM UPL (t)
0.292
171
90% KM Percentile (z)
0.278
95% KM Percentile (z)
0.289
172
99% KM Percentile (z)
0.31
95% KM USL
0.321
173
174
DL/2 Substitution Background Statistics Assuming Normal Distribution
175
Mean
0.481
SD
0.0687
176
95% UTL95% Coverage
0.636
95% UPL (t)
0.6
177
90% Percentile (z)
0.569
95% Percentile (z)
0.594
178
99% Percentile (z)
0.641
95% USL
0.668
179
DL/2 is not a recommended method. DU2 provided for comparisons and historical reasons
180
181
Gamma GOF Tests on Detected Observations Only
182
Not Enough Data to Perform GOF Test
183
184
Gamma Statistics on Detected Data Only
185
k hat (MLE)
63.66
k star (bias corrected MLE)
N/A
1861
Theta hat (MLE)
0.00377
Theta star (bias corrected MLE)
N/A
187
nu hat (MLE)
254.7
nu star (bias corrected)
N/A
188
MLE Mean (bias corrected)
N/A
189
MLE Sd (bias corrected)
N/A
95% Percentile of Cnisquare (2k) N/A
190
191
The following statistics are computed using gamma distribution and KM estimates
192
Upper Limits using Wilson Hilferty (WH) and Hawkins Wbdey (HW) Methods
1931
k hat (KM)
64
nu hat (KM)
3584
194
WH
HW
WH
HW
195
Approx. Gamma UTL with 95% Coverage
0.313
0.313
95% Approx. Gamma UPL
0.295
0.295
196
95% Gamma USL
0.33
0.331
197
198
Lognormal GOF Test on Detected Observations Only
A B I C I D E F I G I H I I J I K L
199
Not Enough Data to Perform GOF Test
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
Mean in Original Scale 0.246 Mean in Log Scale -1.435
200
201
202
203
SD in Original Scale
0.0636
SD in Log Scale
0.257
204
95% UTL95% Coverage
0.424
95°% BCA UTL95% Coverage
0.401
205
95% Bootstrap (%) UTL95% Coverage
0.401
95% UPL (t)
0.372
206
90% Percentile (z)
0.331
95% Percentile (z)
0.364
207
99% Percentile (z)
0.433
95% USL
0.479
208
209
Background DL/2 Statistics Assuming Lognormal Distribution
210
Mean in Original Scale
0.481
Mean in Log Scale
-0.746
211
SD in Original Scale
0.0687
SD in Log Scale
0.198
212
95% UTL95% Coverage
0.739
95% UPL (t)
0.668
213
90% Percentile (z)
0.611
95% Percentile (z)
0.656
214
99% Percentile (z)
0.751
95% USL
0.811
215
DU2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
216
217
Nonparametric Distribution Free Background Statistics
218
Data do not follow a Discernible Distribution (0.05)
219
220
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
221
Order of Statistic, r
28
95% UTL with95% Coverage
1
222
Approximate f
1.474
Confidence Coefficient (CC) achieved by UTL
0.762
223
95% UPL
1
95% USL
1
224
95% KM Chebyshev UPL
0.373
225
226
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
227
data set free of outliers and consists of observations collected from clean unimpacted locations.
228
The use of USL tends to provide a balance between false positives and false negatives provided the data
229
represents a background data set and when many onsite observations need to be compared with the BTV.
230
231
VALUES (arsenic)
232
233
General Statistics
234
Total Number of Observations
30
Number of Missing Observations
0
235
Number of Distinct Observations
3
236
Number of Detects
1
Number of Non -Detects
29
237
Number of Distinct Detects
1
Number of Distinct Non -Detects
2
238
Minimum Detect
0.275
Minimum Non -Detect
0.5
239
Maximum Detect
0.275
Maximum Non -Detect
1
240
Variance Detected
N/A
Percent Non -Detects
96.67%
241
Mean Detected
0.275
SD Detected
N/A
242
Mean of Detected Logged Data
-1.291
SD of Detected Logged Data
N/A
243
244
Warning: Only one distinct data value was detectedl ProUCL (or any other software) should not be used on such a data setl
245
It is suggested to use alternative site specific values determined by the Project Team to estimate environmental parameters (e.g., EPC, BTV).
246
247
The data set for variable VALUES (arsenic) was not processedl
248
249
250
VALUES (as(iii))
251
252
General Statistics
253
Total Number of Observations
2
Number of Missing Observations
0
254
Number of Distinct Observations
1
255
Number of Detects
0
Number of Non -Detects
2
256
Number of Distinct Detects
0
Number of Distinct Non -Detects
1
257
Minimum Detect
N/A
Minimum Non -Detect
0.5
258
Maximum Detect
N/A
Maximum Non -Detect
0.5
259
Variance Detected
N/A
Percent Non -Detects
100%
260
Mean Detected
N/A
SD Detected
N/A
261
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
262
263
Warning: This data set only has 2 observational
264
Data set is too small to compute reliable and meaningful statistics and estimatesl
A I B C I D E F I G I H I I I J I K L
265
The data set for variable VALUES (as(iii)) was not processed!
It is suggested to collect at least 8 to 10 observations before using these statistical methods)
If possible, compute and collect Data Quality Objectives (DQO) based sample size and analytical results.
266
267
268
269
270
271
VALUES (as(v))
272
273
General Statistics.
274
Total Number of Observations
2
Number of Missing Observations
0
275
Number of Distinct Observations
2
276
Number of Detects
1
Number of Non -Detects
1
2771
Number of Distinct Detects
1
Number of Distinct Non -Detects
1
278
Minimum Detect
0.275
Minimum Non -Detect
0.5
279
Maximum Detect
0.275
Maximum Non -Detect
0.5
280
Variance Detected
N/A
Percent Non -Detects
50%
281
Mean Detected
0.275
SD Detected
N/A
282
Mean of Detected Logged Data
-1.291
SD of Detected Logged Data
N/A
283
2841
Warning: This data set only has 2 observations!
285
Data set is too small to compute reliable and meaningful statistics and estimatesl
286
The data set for variable VALUES (as(v)) was not processedl
287
288
It is suggested to collect at least 8 to 10 observations before using these statistical methods!
289
If possible, compute and collect Data Quality Objectives (DQO) based sample size and analytical results.
290
291
292
VALUES (beryllium)
293
294
General Statistics
295
Total Number of Observations
2
Number of Missing Observations
0
296
Number of Distinct Observations
2
297
Number of Detects
1
Number of Non -Detects
1
2981
Number of Distinct Detects
1
Number of Distinct Non -Detects
1
299
Minimum Detect
0.078
Minimum Non -Detect
0.2
300
Maximum Detect
0.078
Maximum Non -Detect
0.2
301
Variance Detected
N/A
Percent Non -Detects
50%
302
Mean Detected
0.078
SD Detected
N/A
303
Mean of Detected Logged Data
-2.551
SD of Detected Logged Data
N/A
304
3051
Warning: This data set only has 2 observationsl
306
Data set is too small to compute reliable and meaningful statistics and estimatesl
307
The data set for variable VALUES (beryllium) was not processedl
308
309
It is suggested to collect at least 8 to 10 observations before using these statistical methods)
310
if possible, compute and collect Data Quality Objectives (DQO) based sample size and analytical results.
311
312
313
VALUES (boron)
314
315
General Statistics
316
Total Number of Observations
28
Number of Missing Observations
0
317
Number of Distinct Observations
1
318
Number of Detects
0
Number of Non -Detects
28
3191
Number of Distinct Detects
0
Number of Distinct Non -Detects
1
320
Minimum Detect
N/A
Minimum Non -Detect
50
321
Maximum Detect
N/A
Maximum Non -Detect
50
322
Variance Detected
N/A
Percent Non -Detects
100%
323
Mean Detected
N/A
SD Detected
N/A
324
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
325
3261
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDsI
327
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs tying below the largest detection limhl
328
The Project Team may decide to use alternative site spedfic values to estimate environmental parameters (e.g., EPC, BTV).
329
330
The data set for variable VALUES (boron) was not processedl
A I B C I D E F G H I I J I K L
331
VALUES (cadmium)
332
333
334
335
General Statistics
336
Total Number of Observations
28
Number of Missing Observations
0
337
Number of Distinct Observations
2
338
Number of Detects
0
Number of Non -Detects
28
339
Number of Distinct Detects
0
Number of Distinct Non -Detects
2
340
Minimum Detect
N/A
Minimum Non -Detect
0.08
341
Maximum Detect
N/A
Maximum Non -Detect
1
342
Variance Detected
N/A
Percent Non -Detects
100%
343
Mean Detected
N/A
SD Detected
N/A
344
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
345
346
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDsl
347
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit)
348
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
349
350
The data set for variable VALUES (cadmium) was not processed)
351
352
353
VALUES (chromium)
354
355
General Statistics
356
Total Number of Observations
30
Number of Missing Observations
0
357
Number of Distinct Observations
5
358
Number of Detects
4
Number of Non -Detects
26
359
Number of Distinct Detects
4
Number of Distinct Non -Detects
1
360
Minimum Detect
1.11
Minimum Non -Detect
5
361
Maximum Detect
1.7
Maximum Non -Detect
5
362
Variance Detected
0.0634
Percent Non -Detects
86.67 %
363
Mean Detected
1.408
SD Detected
0.252
364
Mean of Detected Logged Data
0.33
SD of Detected Logged Data
0.182
365
366
Critical Values for Background Threshold Values (BTVs)
367
Tolerance Factor K (For UTL) 2.22 d2max (for USL) 2.745
368
369
Normal GOF Test on Detects Only
370
Shapiro Wilk Test Statistic
0.997
Shapiro Wilk GOF Test
371
5% Shapiro Wilk Critical Value
0.748
Detected Data appear Normal at 5% Significance Level
372
Lilliefors Test Statistic
0.143
Lilliefors GOF Test
373
5% Lilliefors Critical Value
0.443
Detected Data appear Normal at 5% Significance Level
374
Detected Data appear Normal at 5% Significance Level
375
376
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
377
Mean
1.408
SD
0.218
378
95% UTL95% Coverage
1.892
95% KM UPL (t)
1.784
379
90% KM Percentile (z)
1.687
95% KM Percentile (z)
1.766
380
99% KM Percentile (z)
1.915
95% KM USL
2.006
381
382
DL/2 Substitution Background Statistics Assuming Normal Distribution
383
Mean
2.354
SD
0.386
384
95% UTL95%o Coverage
3.212
95% UPL (t)
3.022
385
90% Percentile (z)
2.849
95% Percentile (z)
2.99
386
99% Percentile (z)
3.253
95% USL
3.415
387
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
388
389
Gamma GOF Tests on Detected Observations Only
390
A-D Test Statistic
0.199
Anderson -Darling GOF Test
391
5% A-D Critical Value
0.656
Detected data appear Gamma Distributed at 5% Significance Level
392
K-S Test Statistic
0.178
KolmogrovSmimoff GOF
393
5% K-S Critical Value
0.394
Detected data appear Gamma Distributed at 5% Significance Level
394
Detected data appear Gamma Distributed at 5% Significance Level
395
396
Gamma Statistics on Detected Data Only
A B C D E
F
G H I J I K
L
397
k hat (MLE)
Theta hat (MLE)
nu hat (MLE)
40.84
k star (bias corrected MLE)
10.38
398
0.0345
Theta star (bias corrected MLE)
0.136
399
326.7
nu star (bias corrected)
83.01
400
MLE Mean (bias corrected)
1.408
401
MLE Sd (bias corrected)
0.437
95% Percentile of Chisquare (2k) 32.36
402
403
Gamma ROS Statistics using Imputed Non -Detects
404
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
405
GROS may not be used when kstar of detected data is small such as < 0.1
406
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
407
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
408
Minimum
0.832
Mean
1.414
409
Maximum
2.086
Median
1.4
410
SD
0.307
CV
0.217
411
k hat (MLE)
21.42
k star (bias corrected MLE)
19.3
412
Theta hat (MLE)
0.066
Theta star (bias corrected MLE)
0.0733
413
nu hat (MLE)
1285
nu star (bias corrected)
1158
414
MLE Mean (bias corrected)
1.414
MLE Sd (bias corrected)
0.322
415
95% Percentile of Chisquare (2k)
54.09
90% Percentile
1.839
416
95% Percentile
1.982
99% Percentile
2.268
417
The following statistics are computed using Gamma ROS Statistics on Imputed Data
418
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
419
WH
HW
WH
HW
420
Approx. Gamma UTL with 95% Coverage
2.193
2.209
95% Approx. Gamma UPL
1.994
2.002
421
95% Gamma USL
2.419
2.447
422
423
The following statistics are computed using gamma distribution and KM estimates
424
Upper Limits using Wilson Hilferty (WH) and Hawkins Wbdey (HW) Methods
425
k hat (KM)
41.65
nu hat (KM)
2499
426
WH
HW
WH
HW
427
Approx. Gamma UTL with 95% Coverage
1.941
1.949
95% Approx. Gamma UPL
1.81
1.814
428
95% Gamma USL
2.088
2.101
429
430
Lognormal GOF Test on Detected Observations Only
431
Shapiro Wilk Test Statistic
0.992
Shapiro Wilk GOF Test
432
5% Shapiro Wilk Critical Value
0.748
Detected Data appear Lognormal at 5% Significance Level
433
Lilliefors Test Statistic
0.162
Lilliefors GOF Test
434
5% Lilliefors Critical Value
0.443
Detected Data appear Lognormal at 5% Significance Level
435
Detected Data appear Lognormal at 5% Significance Level
436
437
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
438
Mean in Original Scale
1.424
Mean in Log Scale
0.33
439
SD in Original Scale
0.316
SD in Log Scale
0.222
440
95% UTL95% Coverage
2.273
95% BCA UTL95% Coverage
2.185
441
95% Bootstrap (%) UTL95% Coverage
2.185
95% UPL (t)
2.038
442
90% Percentile (z)
1.847
95% Percentile (z)
2.001
443
99% Percentile (z)
2.328
95% USL
2.554
444
445
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
446
KM Mean of Logged Data
0.33
95% KM UTL (Lognormal)95% Coverage
1.974
447
KM SD of Logged Data
0.158
95% KM UPL (Lognormal)
1.826
448
95% KM Percentile Lognormal (z)
1.802
95% KM USL (Lognormal)
2.144
449
450
Background DL/2 Statistics Assuming Lognormal Distribution
451
Mean in Original Scale
2.354
Mean in Log Scale
0.838
452
SD in Original Scale
0.386
SD in Log Scale
0.211
453
95% UTL95% Coverage
3.695
95% UPL (t)
3.329
454
90% Percentile (z)
3.03
95% Percentile (z)
3.272
455
99% Percentile (z)
3.778
95% USL
4.128
456
DL12 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
457
458
Nonparametric Distribution Free Background Statistics
459
Data appear to follow a Discernible Distribution at 5% Significance Level
460
461
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
462
Order of Statistic, r 30 95% UTL with95 % Coverage 5
A I B I C D E
F
G H I I I J K
L
463
Approximate f
95% UPL
1.579
Confidence Coefficient (CC) achieved by UTL
0.785
464
5
95% USL
5
465
95% KM Chebyshev UPL
2.374
466
467
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
468
data set free of outliers and consists of observations collected from clean unimpacted locations.
469
The use of USL tends to provide a balance between false positives and false negatives provided the data
470
represents a background data set and when many onsite observations need to be compared with the BTV.
471
472
VALUES (cobalt)
473
474
General Statistics
475
Total Number of Observations
2
Number of Missing Observations
0
476
Number of Distinct Observations
2
477
Number of Detects
1
Number of Non -Detects
1
478
Number of Distinct Detects
1
Number of Distinct Non -Detects
1
479
Minimum Detect
4
Minimum Non -Detect
0.5
480
Maximum Detect
4
Maximum Non -Detect
0.5
481
Variance Detected
N/A
Percent Non -Detects
50%
482
Mean Detected
4
SD Detected
N/A
483
Mean of Detected Logged Data
1.386
SD of Detected Logged Data
N/A
484
485
Warning: This data set only has 2 observational
486
Data set is too small to compute reliable and meaningful statistics and estimates]
487
The data set for variable VALUES (cobaR) was not processedl
488
489
It is suggested to collect at least 8 to 10 observations before using these statistical methods)
490
If possible, compute and collect Data Quality Objectives (DQO) based sample size and analytical results.
491
492
493
VALUES (copper)
494
495
General Statistics.
496
Total Number of Observations
28
Number of Missing Observations
0
497
Number of Distinct Observations
3
498
Number of Detects
2
Number of Non -Detects
26
499
Number of Distinct Detects
2
Number of Distinct Non -Detects
1
500
Minimum Detect
0.45
Minimum Non -Detect
5
501
Maximum Detect
0.52
Maximum Non -Detect
5
502
Variance Detected
0.00245
Percent Non -Detects
92.86%
503
Mean Detected
0.485
SD Detected
0.0495
504
Mean of Detected Logged Data
-0.726
SD of Detected Logged Data
0.102
505
506
Warning: Data set has only 2 Detected Values.
507
This is not enough to compute meaningful or reliable statistics and estimates.
508
509
510
Critical Values for Background Threshold Values (BTUs)
511
Tolerance Factor K (For UTL) 2.246 d2max (for USL) 2.714
512
513
Normal GOF Test on Detects Only
514
Not Enough Data to Perform GOF Test
515
516
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
517
Mean
0.485
SD
0.035
518
95% UTL95% Coverage
0.564
95% KM UPL (t)
0.546
519
90% KM Percentile (z)
0.53
95% KM Percentile (z)
0.543
520
99% KM Percentile (z)
0.566
95% KM USL
0.58
521
522
DL/2 Substitution Background Statistics Assuming Normal Distribution
523
Mean
2.356
SD
0.529
524
95% UTL95% Coverage
3.543
95% UPL (t)
3.272
525
90% Percentile (z)
3.033
95% Percentile (z)
3.225
526
99% Percentile (z)
3.586
95% USL
3.791
527
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
528
A B C D E F I G I H I I J I K L
529
Gamma GOF Tests on Detected Observations Only
Not Enough Data to Perform GOF Test
Gamma Statistics on Detected Data Only
k hat (MLE) 191.7 k star (bias corrected MLE) N/A
530
531
532
533
534
Theta hat (MLE)
0.00253
Theta star (bias corrected MLE)
N/A
535
nu hat (MLE)
766.7
nu star (bias corrected)
N/A
536
MLE Mean (bias corrected)
N/A
537
MLE Sd (bias corrected)
N/A
95% Percentile of Chisquare (2k) N/A
538
539
The following statistics are computed using gamma distribution and KM estimates
540
Upper Limits using Wilson Hiliferty (WH) and Hawkins Wbdey (HW) Methods
541
k hat (KM)
192
nu hat (KM)
10753
542
WH
HW
WH
HW
543
Approx. Gamma UTL with 95% Coverage
0.567
0.568
95% Approx. Gamma UPL
0.547
0.548
544
95% Gamma USL
0.585
0.586
545
546
Lognormal GOF Test on Detected Observations Only
547
Not Enough Data to Perform GOF Test
548
549
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
550
Mean in Original Scale
0.489
Mean in Log Scale
-0.726
551
SD in Original Scale
0.0725
SD in Log Scale
0.148
552
95% UTL95% Coverage
0.675
95% BCA UTL95% Coverage
0.653
553
95% Bootstrap (%) UTL95% Coverage
0.653
95% UPL (t)
0.625
554
90% Percentile (z)
0.585
95% Percentile (z)
0.617
555
99 % Percentile (z)
0.683
95% USL
0.723
556
557
Background DL/2 Statistics Assuming Lognormal Distribution
558
Mean in Original Scale
2.356
Mean in Log Scale
0.799
559
SD in Original Scale
0.529
SD in Log Scale
0.431
560
95% UTL95% Coverage
5.856
95% UPL (t)
4.695
561
90% Percentile (z)
3.864
95% Percentile (z)
4.519
562
99% Percentile (z)
6.063
95% USL
7.167
563
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
564
565
Nonparametdc Distribution Free Background Statistics
566
Data do not follow a Discernible Distribution (0.05)
567
568
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
5691
Order of Statistic, r
28
95% UTL with95 % Coverage
5
570
Approximate f
1.474
Confidence Coefficient (CC) achieved by UTL
0.762
571
95% UPL
5
95% USL
5
572
95% KM Chebyshev UPL
0.64
573
574
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
575
data set free of outliers and consists of observations collected from clean unimpacted locations.
576
The use of USL tends to provide a balance between false positives and false negatives provided the data
5771
represents a background data set and when many onsite observations need to be compared with the BTV.
578
579
VALUES (fe(ii))
580
581
General Statistics
582
Total Number of Observations
1
Number of Missing Observations
0
583
Number of Distinct Observations
1
5841
Number of Detects
0
Number of Non -Detects
1
585
Number of Distinct Detects
0
Number of Distinct Non -Detects
1
586
Minimum Detect
N/A
Minimum Non -Detect
40
587
Maximum Detect
N/A
Maximum Non -Detect
40
588
Variance Detected
N/A
Percent Non -Detects
100%
589
Mean Detected
N/A
SD Detected
N/A
590
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
591
592
Warning: This data set only has 1 observational
593
Data set is too small to compute reliable and meaningful statistics and estimated
594
The data set for variable VALUES (fe(ii)) was not processedl
A B C I D E F G H I I J I K L
595
It is suggested to collect at least 8 to 10 observations before using these statistical methodsl
If possible, compute and collect Data Quality Objectives (DQO) based sample size and analytical results.
596
597
598
599
6001
VALUES (iron)
601
602
General Statistics
603
Total Number of Observations
31
Number of Missing Observations
0
604
Number of Distinct Observations
29
605
Number of Detects
28
Number of Non -Detects
3
606
Number of Distinct Detects
27
Number of Distinct Non -Detects
2
607
Minimum Detect
18
Minimum Non -Detect
10
6081
Maximum Detect
487
Maximum Non -Detect
30
609
Variance Detected
13337
Percent Non -Detects
9.677%
610
Mean Detected
119.6
SD Detected
115.5
611
Mean of Detected Logged Data
4.395
SD of Detected Logged Data
0.895
612
613
Critical Values for Background Threshold Values (BTVs)
614
Tolerance Factor K (For UTL) 2.197 d2max (for USL) 2.76
615
6161
Normal GOF Test on Detects Only
617
Shapiro Wilk Test Statistic
0.79
Shapiro Wilk GOF Test
618
5% Shapiro Wilk Critical Value
0.924
Data Not Normal at 5% Significance Level
619
Lilliefors Test Statistic
0.212
Lilliefors GOF Test
620
5% Lilliefors Critical Value
0.167
Data Not Normal at 5% Significance Level
621
Data Not Normal at 5% Significance Level
622
623
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
624
Mean
109.3
SD
112.3
625
95% UTL95% Coverage
356.1
95% KM UPL (t)
303
626
90% KM Percentile (z)
253.3
95% KM Percentile (z)
294.1
627
99% KM Percentile (z)
370.6
95% KM USL
419.3
628
629
DL/2 Substitution Background Statistics Assuming Normal Distribution
630
Mean
108.9
SD
114.6
631
95% UTL95% Coverage
360.6
95% UPL (t)
306.4
632
90% Percentile (z)
255.7
95% Percentile (z)
297.3
633
99% Percentile (z)
375.4
95% USL
425
634
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
635
6361
Gamma GOF Tests on Detected Observations Only
637
A-D Test Statistic
0.649
Anderson -Darling GOF Test
638
5% A-D Critical Value
0.764
Detected data appear Gamma Distributed at 5% Significance Level
639
K-S Test Statistic
0.161
Kolmogrov-Smimoff GOF
640
5% K-S Critical Value
0.169
Detected data appear Gamma Distributed at 5% Significance Level
641
Detected data appear Gamma Distributed at 5% Significance Level
642
643
Gamma Statistics on Detected Data Only
644
k hat (MLE)
1.427
k star (bias corrected MLE)
1.298
645
Theta hat (MLE)
83.85
Theta star (bias corrected MLE)
92.19
646
nu hat (MLE)
79.91
nu star (bias corrected)
72.68
647
MLE Mean (bias corrected)
119.6
648
MLE Sd (bias corrected)
105
95% Percentile of Chisquare (2k) 7.101
649
650
Gamma ROS Statistics using Imputed Non -Detects
651
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
652
GROS may not be used when kstar of detected data is small such as < 0.1
653
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
654
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
655
Minimum
0.01
Mean
108.1
6561
Maximum
487
Median
58.4
657
SD
115.3
CV
1.067
658
k hat (MLE)
0.541
k star (bias corrected MLE)
0.511
659
Theta hat (MLE)
199.6
Theta star (bias corrected MLE)
211.7
660
nu hat (MLE)
33.57
nu star (bias corrected)
31.65
A I B I C I D I E
F
G H I I J K
L
661
MLE Mean (bias corrected)
95% Percentile of Chisquare (2k)
108.1
MLE Sd (bias corrected)
151.2
662
3.893
90% Percentile
291.1
663
95% Percentile
412.1
99% Percentile
708.9
664
The following statistics are computed using Gamma ROB Statistics on Imputed Data
665
Upper Limits using Wilson Hilferty (WH) and Hawkins Wbdey (HW) Methods
666
WH
HW
WH
HW
667
Approx. Gamma UTL with 95% Coverage
545.2
703
95% Approx. Gamma UPL
388.2
465.7
668
95% Gamma USL
781.3
1092
669
670
The following statistics are computed using gamma distribution and KM estimates
671
Upper Limits using Wilson Hitferty (WH) and Hawkins Wudey (HW) Methods
672
k hat (KM)
0.948
nu hat (KM)
58.75
673
WH
HW
WH
HW
674
Approx. Gamma UTL with 95% Coverage
424
450.8
95% Approx. Gamma UPL
317.6
327.1
675
95% Gamma USL
578.7
640.1
676
677
Lognormal GOF Test on Detected Observations Only
678
Shapiro Wilk Test Statistic
0.964
Shapiro Wilk GOF Test
679
5% Shapiro Wilk Critical Value
0.924
Detected Data appear Lognormal at 5% Significance Level
680
Lilliefors Test Statistic
0.118
Lilliefors GOF Test
681
5% Lilliefors Critical Value
0.167
Detected Data appear Lognormal at 5% Significance Level
682
Detected Data appear Lognormal at 5% Significance Level
683
684
Background Lognormal ROB Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
685
Mean in Original Scale
109.3
Mean in Log Scale
4.207
686
SD in Original Scale
114.2
SD in Log Scale
1.035
687
95% UTL95% Coverage
652.7
95% BCA UTL95% Coverage
487
688
95% Bootstrap (%) UTL95% Coverage
487
95% UPL (t)
400.2
689
90% Percentile (z)
253.1
95% Percentile (z)
368.6
690
99% Percentile (z)
746.1
95% USL
1168
691
692
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
693
KM Mean of Logged Data
4.211
95% KM UTL (Lognormal)95% Coverage
624.7
694
KM SD of Logged Data
1.013
95% KM UPL (Lognormal)
386.9
695
95% KM Percentile Lognormal (z)
356.9
95% KM USL (Lognormal)
1105
696
697
Background DL/2 Statistics Assuming Lognormal Distribution
698
Mean in Original Scale
108.9
Mean in Log Scale
4.161
699
SD in Original Scale
114.6
SD in Log Scale
1.13
700
95% UTL95% Coverage
767.3
95% UPL (t)
449.9
701
90% Percentile (z)
272.8
95% Percentile (z)
411.2
702
99% Percentile (z)
888
95% USL
1449
703
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
704
705
Nonparametric Distribution Free Background Statistics
706
Data appear to follow a Discernible Distribution at 5% Significance Level
707
708
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
709
Order of Statistic, r
31
95% UTL with95 % Coverage
487
710
Approximate f
1.632
Confidence Coefficient (CC) achieved by UTL
0.796
711
95% UPL
414.4
95% USL
487
712
95% KM Chebyshev UPL
606.7
713
714
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
715
data set free of outliers and consists of observations collected from clean unimpacted locations.
716
The use of USL tends to provide a balance between false positives and false negatives provided the data
717
represents a background data set and when many onsite observations need to be compared with the BTV.
718
719
VALUES (lead)
720
721
General Statistics
722
Total Number of Observations
28
Number of Missing Observations
0
723
Number of Distinct Observations
3
724
Number of Detects
1
Number of Non -Detects
27
725
Number of Distinct Detects
1
Number of Distinct Non -Detects
2
726
Minimum Detect
0.055
Minimum Non -Detect
0.1
A B C I D E
F
G H I I J I K
L
727
Maximum Detect
Variance Detected
0.055
Maximum Non -Detect
1
728
N/A
Percent Non -Detects
96.43%
729
Mean Detected
0.055
SD Detected
N/A
730
Mean of Detected Logged Data
-2.9
SD of Detected Logged Data
N/A
731
732
Warning: Only one distinct data value was detectedl ProUCL (or any other software) should not be used on such a data set!
733
It is suggested to use alternative site specific values determined by the Project Team to estimate environmental parameters (e.g., EPC, BTV).
734
735
The data set for variable VALUES (lead) was not processedl
736
737
738
VALUES (manganese)
739
740
General Statistics
741
Total Number of Observations
30
Number of Missing Observations
0
742
Number of Distinct Observations
17
743
Number of Detects
17
Number of Non -Detects
13
744
Number of Distinct Detects
16
Number of Distinct Non -Detects
1
745
Minimum Detect
3.1
Minimum Non -Detect
5
746
Maximum Detect
135
Maximum Non -Detect
5
747
Variance Detected
1317
Percent Non -Detects
43.33%
748
Mean Detected
62.39
SD Detected
36.29
749
Mean of Detected Logged Data
3.842
SD of Detected Logged Data
0.988
750
751
Critical Values for Background Threshold Values (BTVs)
752
Tolerance Factor K (For UTL) 2.22 d2max (for USL) 2.745
753
754
Normal GOF Test on Detects Only
755
Shapiro Wilk Test Statistic
0.979
Shapiro Wilk GOF Test
756
5% Shapiro Wilk Critical Value
0.892
Detected Data appear Normal at 5% Significance Level
757
Lilliefors Test Statistic
0.0958
Ulliefors GOF Test
758
5% Lilliefors Critical Value
0.215
Detected Data appear Normal at 5% Significance Level
759
Detected Data appear Normal at 5% Significance Level
760
761
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
762
Mean
36.7
SD
39.57
763
95% UTL95% Coverage
124.5
95% KM UPL (t)
105
764
90% KM Percentile (z)
87.4
95% KM Percentile (z)
101.8
765
99% KM Percentile (z)
128.7
95% KM USL
145.3
766
767
DL/2 Substitution Background Statistics Assuming Normal Distribution
768
Mean
36.44
SD
40.47
769
95% UTL95% Coverage
126.3
95% UPL (t)
106.3
770
90% Percentile (z)
88.3
95% Percentile (z)
103
771
99% Percentile (z)
130.6
95% USL
147.5
772
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
773
774
Gamma GOF Tests on Detected Observations Only
775
A-D Test Statistic
0.617
Anderson -Darling GOF Test
776
5% A-D Critical Value
0.751
Detected data appear Gamma Distributed at 5% Significance Level
777
K-S Test Statistic
0.156
Kolmogrov-Smimoff GOF
778
5% K-S Critical Value
0.212
Detected data appear Gamma Distributed at 5% Significance Level
779
Detected data appear Gamma Distributed at 5% Significance Level
780
781
Gamma Statistics on Detected Data Only
782
k hat (MLE)
1.867
k star (bias corrected MLE)
1.577
783
Theta hat (MLE)
33.42
Theta star (bias corrected MLE)
39.57
784
nu hat (MLE)
63.48
nu star (bias corrected)
53.61
785
MLE Mean (bias corrected)
62.39
786
MLE Sd (bias corrected)
49.68
95% Percentile of Chisquare (2k) 8.079
787
788
Gamma ROS Statistics using Imputed Non -Detects
789
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
790
GROS may not be used when kstar of detected data is small such as < 0.1
791
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
792
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
A B C I D E
F
G H I I J I K
L
793
Minimum
Maximum
SD
k hat (MLE)
Theta hat (MLE)
0.01
Mean
38.43
794
135
Median
25.38
795
39.1
CV
1.018
796
0.398
k star (bias corrected MLE)
0.38
7971
96.58
Theta star (bias corrected MLE)
101
798
nu hat (MLE)
23.87
nu star (bias corrected)
22.82
799
MLE Mean (bias corrected)
38.43
MLE Sd (bias corrected)
62.31
800
95% Percentile of Chisquare (2k)
3.216
90% Percentile
109.5
801
95% Percentile
162.5
99% Percentile
296.4
802
The following statistics are computed using Gamma ROS Statistics on Imputed Data
803
Upper Limits using Wilson Hitferty (WH) and Hawkins Wudey (HW) Methods
804
WH
HW
WH
HW
805
Approx. Gamma UTL with 95% Coverage
236
319.9
95% Approx. Gamma UPL
158.8
196.4
806
95% Gamma USL
342.1
507.7
807
808
The following statistics are computed using gamma distribution and KM estimates
809
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
810
k hat (KM)
0.86
nu hat (KM)
51.61
811
WH
HW
WH
HW
812
Approx. Gamma UTL with 95% Coverage
189.8
215.2
95% Approx. Gamma UPL
131.4
140.8
813
95% Gamma USL
268.7
323.5
814
815
Lognormal GOF Test on Detected Observations Only
816
Shapiro Wilk Test Statistic
0.806
Shapiro Wilk GOF Test
817
5% Shapiro Wilk Critical Value
0.892
Data Not Lognormal at 5% Significance Level
818
Lilliefors Test Statistic
0.209
Lilliefors GOF Test
819
5% Lilliefors Critical Value
0.215
Detected Data appear Lognormal at 5% Significance Level
820
Detected Data appear Approximate Lognormal at 5% Significance Level
821
822
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
823
Mean in Original Scale
38.7
Mean in Log Scale
2.98
824
SD in Original Scale
38.65
SD in Log Scale
1.321
825
95% UTL95% Coverage
369.7
95% BCA UTL95% Coverage
135
826
95% Bootstrap (%) UTL95% Coverage
135
95% UPL (t)
192.8
827
90% Percentile (z)
107
95% Percentile (z)
173
828
99% Percentile (z)
425.5
95% USL
739.9
829
830
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
831
KM Mean of Logged Data
2.668
95% KM UTL (Lognormal)95% Coverage
425.3
832
KM SD of Logged Data
1.525
95% KM UPL (Lognormal)
200.6
833
95% KM Percentile Lognormal (z)
176.9
95% KM USL (Lognormal)
947.2
834
835
Background DL/2 Statistics Assuming Lognormal Distribution
836
Mean in Original Scale
36.44
Mean in Log Scale
2.574
837
SD in Original Scale
40.47
SD in Log Scale
1.647
838
95% UTL95%o Coverage
508.4
95% UPL (t)
225.8
839
90% Percentile (z)
108.3
95% Percentile (z)
197.1
840
99% Percentile (z)
605.7
95% USL
1207
841
DU2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
842
843
Nonparametric Distribution Free Background Statistics
844
Data appear to follow a Discernible Distribution at 5% Significance Level
845
846
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
847
Order of Statistic, r
30
95% UTL with95% Coverage
135
848
Approximate f
1.579
Confidence Coefficient (CC) achieved by UTL
0.785
849
95% UPL
123.5
95% USL
135
850
95% KM Chebyshev UPL
212
851
852
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
853
data set free of outliers and consists of observations collected from clean unimpacted locations.
854
The use of USL tends to provide a balance between false positives and false negatives provided the data
855
represents a background data set and when many onsite observations need to be compared with the BTV.
856
857
VALUES (mercury)
858
A B C D E F G I H I I J I K L
859
General Statistics
Total Number of Observations 28 Number of Missing Observations 0
Number of Distinct Observations 2
Number of Detects 0 Number of Non -Detects 28
860
861
862
863
Number of Distinct Detects
0
Number of Distinct Non -Detects
2
864
Minimum Detect
N/A
Minimum Non -Detect
0.05
865
Maximum Detect
N/A
Maximum Nan -Detect
0.2
866
Variance Detected
N/A
Percent Non -Detects
100%
867
Mean Detected
N/A
SD Detected
N/A
868
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
869
870
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDsI
871
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit]
872
The Project Team may decide to use alternative site spedfic values to estimate environmental parameters (e.g., EPC, BTV).
873
874
The data set for variable VALUES (mercury) was not processed!
875
876
877
VALUES (molybdenum)
878
879
General Statistics
880
Total Number of Observations
2
Number of Missing Observations
0
881
Number of Distinct Observations
2
882
Number of Detects
1
Number of Non -Detects
1
883
Number of Distinct Detects
1
Number of Distinct Non -Detects
1
884
Minimum Detect
0.27
Minimum Non -Detect
0.5
885
Maximum Detect
0.27
Maximum Non -Detect
0.5
886
Variance Detected
N/A
Percent Non -Detects
50%
887
Mean Detected
0.27
SD Detected
N/A
888
Mean of Detected Logged Data
-1.309
SD of Detected Logged Data
N/A
889
890
Warning: This data set only has 2 observational
891
Data set is too small to compute reliable and meaningful statistics and estimatesl
892
The data set for variable VALUES (molybdenum) was not processed[
893
894
It is suggested to collect at least 8 to 10 observations before using these statistical methodsl
895
If possible, compute and collect Data Quality Objectives (DQO) based sample size and analytical results.
896
897
898
VALUES (nickel)
899
900
General Statistics
901
Total Number of Observations
28
Number of Missing Observations
0
902
Number of Distinct Observations
6
903
Number of Detects
14
Number of Non -Detects
14
9041
Number of Distinct Detects
4
Number of Distinct Non -Detects
2
905
Minimum Detect
6
Minimum Non -Detect
0.5
906
Maximum Detect
8
Maximum Non -Detect
5
907
Variance Detected
0.244
Percent Non -Detects
50%
908
Mean Detected
6.886
SD Detected
0.494
909
Mean of Detected Logged Data
1.927
SD of Detected Logged Data
0.0725
910
911
Critical Values for Background Threshold Values (BTVs)
912
Tolerance Factor K (For UTL) 2.246 d2max (for USL) 2.714
913
914
Normal GOF Test on Detects Only
915
Shapiro Wilk Test Statistic
0.736
Shapiro Wilk GOF Test
916
5% Shapiro Wilk Critical Value
0.874
Data Not Normal at 5% Significance Level
917
Lilliefors Test Statistic
0.377
Lilliefors GOF Test
918
5% Lilliefors Critical Value
0.237
Data Not Normal at 5% Significance Level
919
Data Not Normal at 5% Significance Level
920
921
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
922
Mean
3.693
SD
3.211
923
95% UTL95% Coverage
10.9
95% KM UPL (t)
9.258
924
90 % KM Percentile (z)
7.807
95% KM Percentile (z)
8.974
A B C D I E
F G H I I J I K I L
925
99% KM Percentile (z) 11.16 95% KM USL 12.41
926
927
DL/2 Substitution Background Statistics Assuming Normal Distribution
928
Mean
4.613
SD
2.377
929
95% UTL95% Coverage
9.951
95% UPL (t)
8.733
930
90% Percentile (z)
7.659
95% Percentile (z)
8.523
931
99% Percentile (z)
10.14
95% USL
11.07
932
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
933
934
Gamma GOF Tests on Detected Observations Only
935
A-D Test Statistic
2.105
Anderson -Darling GOF Test
936
5% A-D Critical Value
0.733
Data Not Gamma Distributed at 5% Significance Level
937
K-S Test Statistic
0.388
KolmogrovSmimoff GOF
938
5% K-S Critical Value
0.228
Data Not Gamma Distributed at 5% Significance Level
939
Data Not Gamma Distributed at 5% Significance Level
940
941
Gamma Statistics on Detected Data Only
942
k hat (MLE)
206.5
k star (bias corrected MLE)
162.3
943
Theta hat (MLE)
0.0333
Theta star (bias corrected MLE)
0.0424
944
nu hat (MLE)
5782
nu star (bias corrected)
4545
945
MLE Mean (bias corrected)
6.886
946
MLE Sd (bias corrected)
0.54
95% Percentile of Chisquare (2k) 367.6
947
948
Gamma ROS Statistics using Imputed Non -Detects
949
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
950
GROS may not be used when kstar of detected data is small such as < 0.1
951
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
952
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
953
Minimum
5.1
Mean
6.345
954
Maximum
8
Median
6.169
955
SD
0.69
CV
0.109
956
k hat (MLE)
88.3
k star (bias corrected MLE)
78.86
957
Theta hat (MLE)
0.0719
Theta star (bias corrected MLE)
0.0805
958
nu hat (MLE)
4945
nu star (bias corrected)
4416
959
MLE Mean (bias corrected)
6.345
MLE Sd (bias corrected)
0.715
960
95% Percentile of Chisquare (2k)
188
90% Percentile
7.277
961
95% Percentile
7.565
99% Percentile
8.125
962
The following statistics are computed using Gamma ROS Statistics on Imputed Data
963
Upper Limits using Wilson Hilferty (WH) and Hawkins Wbdey (HW) Methods
964
WH
HW
WH
HW
965
Approx. Gamma UTL with 95% Coverage
7.991
8.004
95% Approx. Gamma UPL
7.587
7.593
966
95% Gamma USL
8.372
8.395
967
968
The following statistics are computed using gamma distribution and KM estimates
969
Upper Limits using Wilson Hilferty (WH) and Hawkins Wbdey (HW) Methods
970
k hat (KM)
1.323
nu hat (KM)
74.09
971
WH
HW
WH
HW
972
Approx. Gamma UTL with 95% Coverage
17.45
19.64
95% Approx. Gamma UPL
12.31
13.18
973
95% Gamma USL
23.23
27.39
974
975
Lognormal GOF Test on Detected Observations Only
976
Shapiro Wilk Test Statistic
0.735
Shapiro Wilk GOF Test
977
5% Shapiro Wilk Critical Value
0.874
Data Not Lognormal at 5% Significance Level
978
Lilliefors Test Statistic
0.388
Lilliefors GOF Test
979
5% Lilliefors Critical Value
0.237
Data Not Lognormal at 5% Significance Level
980
Data Not Lognormal at 5% Significance Level
981
982
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
983
Mean in Original Scale
6.362
Mean in Log Scale
1.845
984
SD in Original Scale
0.669
SD in Log Scale
0.104
985
95% UTL95% Coverage
8.001
95% BCA UTL95% Coverage
7
986
95% Bootstrap (%) UTL95% Coverage
8
95% UPL (t)
7.584
987
90% Percentile (z)
7.235
95% Percentile (z)
7.514
988
99% Percentile (z)
8.068
95% USL
8.402
989
990
Background DL/2 Statistics Assuming Lognormal Distribution
A B C D I E
F
G H I I J I K
L
991
Mean in Original Scale
SD in Original Scale
4.613
Mean in Log Scale
1.339
992
2.377
SD in Log Scale
0.737
993
95% UTL95% Coverage
19.97
95% UPL (t)
13.69
994
90% Percentile (z)
9.813
95% Percentile (z)
12.83
995
99% Percentile (z)
21.19
95% USL
28.21
996
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
997
998
Nonparametdc Distribution Free Background Statistics
999
Data do not follow a Discernible Distribution (0.05)
1000
1001
Nonparemetric Upper Limits for BTVs(no distinction made between detects and nondetectss)
1002
Order of Statistic, r
28
95% UTL with95% Coverage
8
10031
Approximate f
1.474
Confidence Coefficient (CC) achieved by UTL
0.762
1004
95% UPL
7.55
95% USL
8
1005
95% KM Chebyshev UPL
17.94
1006
1007
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
1008
data set free of outliers and consists of observations collected from clean unimpacted locations.
10091
The use of USL tends to provide a balance between false positives and false negatives provided the data
1010
represents a background data set and when many onsite observations need to be compared with the BTV.
1011
1012
VALUES (nitrate)
1013
1014
General Statistics
10151
Total Number of Observations
26
Number of Missing Observations
0
1016
Number of Distinct Observations
16
1017
Number of Detects
25
Number of Non -Detects
1
1018
Number of Distinct Detects
15
Number of Distinct Non -Detects
1
1019
Minimum Detect
190
Minimum Non -Detect
100
1020
Maximum Detect
560
Maximum Non -Detect
100
1021
Variance Detected
9373
Percent Non -Detects
3.846%
10221
Mean Detected
466.8
SD Detected
96.81
1023
Mean of Detected Logged Data
6.117
SD of Detected Logged Data
0.271
1024
1025
Critical Values for Background Threshold Values (BTVs)
1026
Tolerance Factor K (For UTL) 2.275 d2max (for USL) 2.681
1027
10281
Normal GOF Test on Detects Only
1029
Shapiro Wilk Test Statistic
0.757
Shapiro Wilk GOF Test
1030
5% Shapiro Wilk Critical Value
0.918
Data Not Normal at 5% Significance Level
1031
Lilliefors Test Statistic
0.314
Lilliefors GOF Test
1032
5% Lilliefors Critical Value
0.177
Data Not Normal at 5% Significance Level
1033
Data Not Normal at 5% Significance Level
1034
1035
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
1036
Mean
452.7
SD
116.7
1037
95% UTL95% Coverage
718.3
95% KM UPL (t)
655.9
1038
90% KM Percentile (z)
602.3
95% KM Percentile (z)
644.7
1039
99% KM Percentile (z)
724.3
95% KM USL
765.7
1040
1041
DL/2 Substitution Background Statistics Assuming Normal Distribution
1042
Mean
450.8
SD
125.2
1043
95% UTL95% Coverage
735.6
95% UPL (t)
668.7
1044
90% Percentile (z)
611.2
95% Percentile (z)
656.7
1045
99% Percentile (z)
742.1
95% USL
786.5
1046
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
1047
1048
Gamma GOF Tests on Detected Observations Only
1049
A-D Test Statistic
2.954
Anderson -Darling GOF Test
1050
5% A-D Critical Value
0.744
Data Not Gamma Distributed at 5% Significance Level
1051
K-S Test Statistic
0.338
KolmogrovSmimoff GOF
1052
5% K-S Critical Value
0.174
Data Not Gamma Distributed at 5% Significance Level
1053
Data Not Gamma Distributed at 5% Significance Level
1054
1055
Gamma Statistics on Detected Data Only
1056
k hat (MLE) 17.22 k star (bias corrected MLE) 15.18
A B C D E
F
G H I 1 I J K L
1057
Theta hat (MLE)
nu hat (MLE)
27.1
Theta star (bias corrected MLE) 30.74
1058
861.2
nu star (bias corrected) 759.2
1059
MLE Mean (bias corrected)
466.8
1060
MLE Sd (bias corrected)
119.8
95% Percentile of Chisquare (2k) 44.22
1061
1062
Gamma ROS Statistics using Imputed Non -Detects
1063
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
1064
GROS may not be used when kstar of detected data is small such as < 0.1
1065
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
1066
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
1067
Minimum
190
Mean
460.4
1068
Maximum
560
Median
495
1069
SD
100.4
CV
0.218
1070
k hat (MLE)
16.1
k star (bias corrected MLE)
14.27
1071
Theta hat (MLE)
28.6
Theta star (bias corrected MLE)
32.27
1072
nu hat (MLE)
837.1
nu star (bias corrected)
741.8
1073
MLE Mean (bias corrected)
460.4
MLE Sd (bias corrected)
121.9
1074
95% Percentile of Chisquare (2k)
41.99
90% Percentile
621.8
1075
95% Percentile
677.4
99 % Percentile
790.2
1076
The following statistics are computed using Gamma ROS Statistics on Imputed Data
1077
Upper Limits using Wilson Hilferly, (WH) and Hawkins Wbdey (HW) Methods
1078
WH
HW
WH
HW
1079
Approx. Gamma UTL with 95% Coverage
767.7
782.6
95% Approx. Gamma UPL
683.2
691.8
1080
95% Gamma USL
836.3
857.2
1081
1082
The following statistics are computed using gamma distribution and KM estimates
1083
Upper Limits using Wilson Hilferly (WH) and Hawkins Wixley (HW) Methods
1084
k hat (KM)
15.04
nu hat (KM)
782
1085
WH
HW
WH
HW
1086
Approx. Gamma UTL with 95% Coverage
863.4
896
95% Approx. Gamma UPL
745.9
764.9
1087
95% Gamma USL
960.5
1006
1088
1089
Lognormal GOF Test on Detected Observations Only
1090
Shapiro Wilk Test Statistic
0.672
Shapiro Wilk GOF Test
1091
5% Shapiro Wilk Critical Value
0.918
Data Not Lognormal at 5% Significance Level
1092
Lilliefors Test Statistic
0.344
Lilliefors GOF Test
1093
5% Lilliefors Critical Value
0.177
Data Not Lognormal at 5% Significance Level
1094
Data Not Lognormal at 5% Significance Level
1095
1096
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
1097
Mean in Original Scale
459.1
Mean in Log Scale
6.096
1098
SD in Original Scale
102.7
SD in Log Scale
0.285
1099
95% UTL95 % Coverage
850
95% BCA UTL95% Coverage
557.5
1100
95% Bootstrap (%) UTL95% Coverage
560
95% UPL (t)
729.8
1101
90% Percentile (z)
640.2
95% Percentile (z)
710.1
1102
99 % Percentile (z)
862.6
95% USL
954.4
1103
1104
Background DL/2 Statistics Assuming Lognormal Distribution
1105
Mean in Original Scale
450.8
Mean in Log Scale
6.032
1106
SD in Original Scale
125.2
SD in Log Scale
0.507
1107
95% UTL95% Coverage
1321
95% UPL (t)
1007
1108
90% Percentile (z)
797.9
95% Percentile (z)
959.3
1109
99 % Percentile (z)
1356
95% USL
1623
1110
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
1111
1112
Nonparametdc Distribution Free Background Statistics
1113
Data do not follow a Discernible Distribution (0.05)
1114
1115
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
1116
Order of Statistic, r
26
95% UTL with95% Coverage
560
1117
Approximate f
1.368
Confidence Coefficient (CC) achieved by UTL
0.736
1118
95% UPL
556.5
95% USL
560
1119
95% KM Chebyshev UPL
971.2
1120
1121
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
1122
data set free of outliers and consists of observations collected from clean unimpacted locations.
A I B I C I D E I F I G I H I I I J I K L
1123
The use of USL tends to provide a balance between false positives and false negatives provided the data
represents a background data set and when many onsite observations need to be compared with the BTV.
VALUES (potassium)
1124
1125
1126
1127
1128
General Statistics
1129
Total Number of Observations
18
Number of Missing Observations
0
1130
Number of Distinct Observations
18
1131
Number of Detects
17
Number of Non -Detects
1
1132
Number of Distinct Detects
17
Number of Distinct Non -Detects
1
1133
Minimum Detect
479
Minimum Non -Detect
5000
1134
Maximum Detect
2640
Maximum Non -Detect
5000
1135
Variance Detected
875409
Percent Non -Detects
5.556%
1136
Mean Detected
1466
SD Detected
935.6
1137
Mean of Detected Logged Data
7.036
SD of Detected Logged Data
0.777
1138
1139
Critical Values for Background Threshold Values (BTVs)
1140
Tolerance Factor K (For UTL) 2.453 d2max (for USL) 2.504
1141
1142
Normal GOF Test on Detects Only
1143
Shapiro Wilk Test Statistic
0.735
Shapiro Wilk GOF Test
1144
5% Shapiro Wilk Critical Value
0.892
Data Not Normal at 5% Significance Level
1145
Lilliefors Test Statistic
0.312
Lilliefors GOF Test
1146
5% Lilliefors Critical Value
0.215
Data Not Normal at 5% Significance Level
1147
Data Not Normal at 5% Significance Level
1148
1149
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
1150
Mean
1466
SD
907.7
1151
95% UTL95% Coverage
3693
95% KM UPL (t)
3089
1152
90% KM Percentile (z)
2630
95% KM Percentile (z)
2959
1153
99% KM Percentile (z)
3578
95% KM USL
3739
1154
1155
DL/2 Substitution Background Statistics Assuming Normal Distribution
1156
Mean
1524
SD
939.8
1157
95% UTL95% Coverage
3829
95% UPL (t)
3203
1158
90% Percentile (z)
2728
95% Percentile (z)
3070
1159
99 % Percentile (z)
3710
95% USL
3877
1160
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
1161
1162
Gamma GOF Tests on Detected Observations Only
1163
A-D Test Statistic
2.41
Anderson -Darling GOF Test
1164
5% A-D Critical Value
0.749
Data Not Gamma Distributed at 5% Significance Level
1165
K-S Test Statistic
0.316
KolmogrovSmimoff GOF
1166
5% K-S Critical Value
0.212
Data Not Gamma Distributed at 5% Significance Level
1167
Data Not Gamma Distributed at 5% Significance Level
1168
1169
Gamma Statistics on Detected Data Only
1170
k hat (MLE)
2.113
k star (bias corrected MLE)
1.779
1171
Theta hat (MLE)
694
Theta star (bias corrected MLE)
824.2
1172
nu hat (MLE)
71.83
nu star (bias corrected)
60.49
1173
MLE Mean (bias corrected)
1466
1174
MLE Sd (bias corrected)
1099
95% Percentile of Chisquare (2k) 8.762
1175
1176
Gamma ROS Statistics using Imputed Non -Detects
1177
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
1178
GROS may not be used when kstar of detected data is small such as < 0.1
1179
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
1180
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
1181
Minimum
479
Mean
1458
1182
Maximum
2640
Median
1705
1183
SD
908.4
CV
0.623
1184
k hat (MLE)
2.226
k star (bias corrected MLE)
1.892
1185
Theta hat (MLE)
654.8
Theta star (bias corrected MLE)
770.4
1186
nu hat (MLE)
80.14
nu star (bias corrected)
68.12
1187
MLE Mean (bias corrected)
1458
MLE Sd (bias corrected)
1060
1188
95% Percentile of Chisquare (2k)
9.136
90% Percentile
2872
A I B I C I D E
F G H I I J K L
1189
95% Percentile 3519 99% Percentile 4958
The following statistics are computed using Gamma ROS Statistics on Imputed Data
1190
1191
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
1192
WH
HW
WH
HW
1193
Approz. Gamma UTL with 95% Coverage
5081
5444
95% Approx. Gamma UPL
3688
3824
1194
95% Gamma USL
5201
5586
1195
1196
The following statistics are computed using gamma distribution and KM estimates
1197
Upper Limits using Wilson Hilferty (WH) and Hawkins Wixley (HW) Methods
1198
k hat (KM)
2.61
nu hat (KM)
93.94
1199
WH
HW
WH
HW
1200
Approx. Gamma UTL with 95% Coverage
5072
5427
95% Approx. Gamma UPL
3680
3811
1201
95% Gamma USL
5191
5569
1202
1203
Lognormal GOF Test on Detected Observations Only
1204
Shapiro Wilk Test Statistic
0.706
Shapiro Wilk GOF Test
1205
5% Shapiro Wilk Critical Value
0.892
Data Not Lognormal at 5% Significance Level
1206
Lilliefors Test Statistic
0.315
Lilliefors GOF Test
1207
5% Lilliefors Critical Value
0.215
Data Not Lognormal at 5% Significance Level
1208
Data Not Lognormal at 5% Significance Level
1209
1210
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
1211
Mean in Original Scale
1448
Mean in Log Scale
7.036
1212
SD in Original Scale
911
SD in Log Scale
0.754
1213
95% UTL95% Coverage
7223
95% BCA UTL95% Coverage
2640
1214
95% Bootstrap (%) UTL95% Coverage
2640
95% UPL (t)
4372
1215
90% Percentile (z)
2986
95% Percentile (z)
3927
1216
99% Percentile (z)
6565
95% USL
7506
1217
1218
Background DL/2 Statistics Assuming Lognormal Distribution
1219
Mean in Original Scale
1524
Mean in Log Scale
7.079
1220
SD in Original Scale
939.8
SD in Log Scale
0.777
1221
95% UTL95% Coverage
7976
95% UPL (t)
4756
1222
90% Percentile (z)
3212
95% Percentile (z)
4258
1223
99% Percentile (z)
7229
95% USL
8298
1224
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
1225
1226
Nonparametric Distribution Free Background Statistics
1227
Data do not follow a Discernible Distribution (0.05)
1228
1229
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
12301
Order of Statistic, r
18
95% UTL with95% Coverage
5000
1231
Approximate f
0.947
Confidence Coefficient (CC) achieved by UTL
0.603
1232
95% UPL
5000
95% USL
5000
1233
95% KM Chebyshev UPL
5531
1234
1235
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
1236
data set free of outliers and consists of observations collected from clean unimpacted locations.
12371
The use of USL tends to provide a balance between false positives and false negatives provided the data
1238
represents a background data set and when many onsite observations need to be compared with the BTV.
1239
1240
VALUES (se(vi))
1241
1242
General Statistics
12431
Total Number of Observations
2
Number of Missing Observations
0
1244
Number of Distinct Observations
1
1245
Number of Detects
0
Number of Non -Detects
2
1246
Number of Distinct Detects
0
Number of Distinct Non -Detects
1
1247
Minimum Detect
N/A
Minimum Non -Detect
2
1248
Maximum Detect
N/A
Maximum Non -Detect
2
1249
Variance Detected
N/A
Percent Non -Detects
100%
12501
Mean Detected
N/A
SD Detected
N/A
1251
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
1252
1253
Warning: This data set only has 2 observationsl
1254
Data set is too small to compute reliable and meaningful statistics and estimates!
A I B I C I D E F I G I H I I I J I K L
1255
The data set for variable VALUES (se(vi)) was not processed!
It is suggested to collect at least 8 to 10 observations before using these statistical methodsl
If possible, compute and collect Data Quality Objectives (DQO) based sample size and analytical results.
1256
1257
1258
1259
1260
1261
VALUES (selenium)
1262
1263
General Statistics.
1264
Total Number of Observations
28
Number of Missing Observations
0
12651
Number of Distinct Observations
2
1266
Number of Detects
0
Number of Non -Detects
28
1267
Number of Distinct Detects
0
Number of Distinct Non -Detects
2
1268
Minimum Detect
N/A
Minimum Non -Detect
0.5
1269
Maximum Detect
N/A
Maximum Non -Detect
1
1270
Variance Detected
N/A
Percent Non -Detects
100 %
12711
Mean Detected
N/A
SD Detected
N/A
1272
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
1273
1274
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDsI
1275
Specifically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limit)
1276
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
1277
1278
The data set for variable VALUES (selenium) was not processed!
1279
1280
1281
VALUES (sulfide)
1282
12831
General Statistics
1284
Total Number of Observations
2
Number of Missing Observations
0
1285
Number of Distinct Observations
1
1286
Number of Detects
0
Number of Non -Detects
2
1287
Number of Distinct Detects
0
Number of Distinct Non -Detects
1
1288
Minimum Detect
N/A
Minimum Non -Detect
100
12891
Maximum Detect
N/A
Maximum Non -Detect
100
1290
Variance Detected
N/A
Percent Non -Detects
100%
1291
Mean Detected
N/A
SD Detected
N/A
1292
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
1293
1294
Warning: This data set only has 2 observations!
12951
Data set is too small to compute reliable and meaningful statistics and estimates!
1296
The data set for variable VALUES (sulfide) was not processed!
1297
1298
It is suggested to collect at least 8 to 10 observations before using these statistical methods!
1299
If possible, compute and collect Data Quality Objectives (DQO) based sample size and analytical results.
1300
1301
1302
VALUES (thallium)
1303
1304
General Statistics
1305
Total Number of Observations
4
Number of Missing Observations
0
1306
Number of Distinct Observations
3
13071
Number of Detects
1
Number of Non -Detects
3
1308
Number of Distinct Detects
1
Number of Distinct Non -Detects
2
1309
Minimum Detect
0.03
Minimum Non -Detect
0.1
1310
Maximum Detect
0.03
Maximum Non -Detect
0.2
1311
Variance Detected
N/A
Percent Non -Detects
75%
1312
Mean Detected
0.03
SO Detected
N/A
13131
Mean of Detected Logged Data
-3.507
SD of Detected Logged Data
N/A
1314
1315
Warning: Only one distinct data value was detectedl ProUCL (or any other software) should not be used on such a data sett
1316
It is suggested to use alternative site specific values determined by the Project Team to estimate environmental parameters (e.g., EPC, BTV).
1317
1318
The data set for variable VALUES (thallium) was not processed!
1319
1320
A B C I D E F G H I I J I K L
1321
1322
VALUES (titanium)
1323
General Statistics
1324
Total Number of Observations
24
Number of Missing Observations
0
13251
Number of Distinct Observations
1
1326
Number of Detects
0
Number of Non -Detects
24
1327
Number of Distinct Detects
0
Number of Distinct Non -Detects
1
1328
Minimum Detect
N/A
Minimum Non -Detect
0.2
1329
Maximum Detect
N/A
Maximum Non -Detect
0.2
1330
Variance Detected
N/A
Percent Non -Detects
100%
1331
Mean Detected
N/A
SD Detected
N/A
1332
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
1333
1334
Warning: All observations are Non -Detects (NDs), therefore all statistics and estimates should also be NDst
1335
Spectfically, sample mean, UCLs, UPLs, and other statistics are also NDs lying below the largest detection limitl
1336
The Project Team may decide to use alternative site specific values to estimate environmental parameters (e.g., EPC, BTV).
1337
1338
The data set for variable VALUES (titanium) was not processed!
1339
1340
1341
VALUES (total dissolved solids)
1342
1343
General Statistics
1344
Total Number of Observations
28
Number of Missing Observations
0
1345
Number of Distinct Observations
19
1346
Number of Detects
26
Number of Non -Detects
2
1347
Number of Distinct Detects
18
Number of Distinct Non -Detects
1
1348
Minimum Detect
21000
Minimum Non -Detect
250000
1349
Maximum Detect
140000
Maximum Non -Detect
250000
1350
Variance Detected
1.532E+9
Percent Non -Detects
7.143%
1351
Mean Detected
75269
SD Detected
39142
1352
Mean of Detected Logged Data
11.07
SD of Detected Logged Data
0.592
1353
1354
Critical Values for Background Threshold Values (BTVs)
1355
Tolerance Factor K (For UTL) 2.246 d2max (for USL) 2.714
1356
1357
Normal GOF Test on Detects Only
1358
Shapiro Wilk Test Statistic
0.848
Shapiro Wilk GOF Test
1359
5% Shapiro Wilk Critical Value
0.92
Data Not Normal at 5% Significance Level
1360
Lilliefors Test Statistic
0.208
Lilliefors GOF Test
1361
5% Lilliefors Critical Value
0.174
Data Not Normal at 5% Significance Level
1362
Data Not Normal at 5% Significance Level
1363
1364
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
1365
Mean
75269
SD
38382
1366
95% UTL95% Coverage
161476
95% KM UPL (t)
141802
1367
90 % KM Percentile (z)
124458
95% KM Percentile (z)
138402
1368
99% KM Percentile (z)
164560
95% KM USL
179456
1369
1370
DL/2 Substitution Background Statistics Assuming Normal Distribution
1371
Mean
78821
SD
39859
1372
95% UTL95% Coverage
168345
95% UPL (t)
147915
1373
90 % Percentile (z)
129903
95% Percentile (z)
144384
1374
99% Percentile (z)
171547
95% USL
187017
1375
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
1376
1377
Gamma GOF Tests on Detected Observations Only
1378
A-D Test Statistic
1.773
Anderson -Darling GOF Test
1379
5% A-D Critical Value
0.75
Data Not Gamma Distributed at 5% Significance Level
1380
K-S Test Statistic
0.22
Kolmogrov-Smimoff GOF
1381
5% K-S Critical Value
0.172
Data Not Gamma Distributed at 5% Significance Level
1382
Data Not Gamma Distributed at 5% Significance Level
1383
1384
Gamma Statistics on Detected Data Only
1385
k hat (MLE)
3.381
k star (bias corrected MLE)
3.016
1386
Theta hat (MLE)
22265
Theta star (bias corrected MLE)
24955
A B C D E
F
G H I I J I K L
1387
nu hat (MLE)
MLE Mean (bias corrected)
175.8
nu star (bias corrected) 156.8
1388
75269
1389
MLE Sd (bias corrected)
43340
95% Percentile of Chisquare (2k) 12.64
1390
13911
Gamma ROS Statistics using Imputed Non -Detects
1392
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
1393
GROS may not be used when kstar of detected data is small such as < 0.1
1394
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
1395
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
1396
Minimum
21000
Mean
74953
1397
Maximum
140000
Median
75211
1398
SD
37952
CV
0.506
1399
k hat (MLE)
3.579
k star (bias corrected MLE)
3.219
1400
Theta hat (MLE)
20945
Theta star (bias corrected MLE)
23285
1401
nu hat (MLE)
200.4
nu star (bias corrected)
180.3
1402
MLE Mean (bias corrected)
74953
MLE Sd (bias corrected)
41777
1403
95% Percentile of Chisquare (2k)
13.24
90% Percentile
130973
1404
95% Percentile
154178
99% Percentile
204292
1405
The following statistics are computed using Gamma ROS Statistics on Imputed Data
1406
Upper Limits using Wilson Hilferty (WH) and Hawkins Wbdey (HW) Methods
1407
WH
HW
WH
HW
1408
Approx. Gamma UTL with 95% Coverage
194011
201608
95% Approx. Gamma UPL
157496
160974
1409
95% Gamma USL
231966
245065
1410
1411
The following statistics are computed using gamma distribution and KM estimates
1412
Upper Limits using Wilson Hilferty (WH) and Hawkins Wbdey (HW) Methods
1413
k hat (KM)
3.846
nu hat (KM)
215.4
1414
WH
HW
WH
HW
1415
Approx. Gamma UTL with 95% Coverage
195868
203590
95% Approx. Gamma UPL
158702
162197
1416
95% Gamma USL
234544
247925
1417
1418
Lognormal GOF Test on Detected Observations Only
1419
Shapiro Wilk Test Statistic
0.855
Shapiro Wilk GOF Test
1420
5% Shapiro Wilk Critical Value
0.92
Data Not Lognormal at 5% Significance Level
1421
Lilliefors Test Statistic
0.232
Ulliefors GOF Test
1422
5% Liiliefors Critical Value
0.174
Data Not Lognormal at 5% Significance Level
1423
Data Not Lognormal at 5% Signficance Level
1424
1425
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
1426
Mean in Original Scale
74657
Mean in Log Scale
11.07
14271
SD in Original Scale
38019
SD in Log Scale
0.574
1428
95% UTL95% Coverage
234070
95% BCA UTL95% Coverage
120000
1429
95% Bootstrap (%) UTL95% Coverage
140000
95% UPL (t)
174391
1430
90% Percentile (z)
134535
95% Percentile (z)
165742
1431
99% Percentile (z)
245122
95% USL
306315
1432
14331
Background DL12 Statistics Assuming Lognormal Distribution
1434
Mean in Original Scale
78821
Mean in Log Scale
11.12
1435
SD in Original Scale
39859
SD in Log Scale
0.596
1436
95% UTL95% Coverage
257504
95% UPL (t)
189756
1437
90% Percentile (z)
144978
95% Percentile (z)
180003
1438
99% Percentile (z)
270127
95% USL
340380
14391
DL12 is not a Recommended Method. DL12 provided for comparisons and historical reasons.
1440
1441
Nonparametric Distribution Free Background Statistics
1442
Data do not follow a Discernible Distribution (0.05)
1443
1444
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
14451
Order of Statistic, r
28
95% UTL with95% Coverage
250000
1446
Approximate f
1.474
Confidence Coefficient (CC) achieved by UTL
0.762
1447
95% UPL
250000
95% USL
250000
1448
95% KM Chebyshev UPL
245535
1449
1450
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
1451
data set free of outliers and consists of observations collected from clean unimpacted locations.
14521
The use of USL tends to provide a balance between false positives and false negatives provided the data
A I B I C I D E I F G I H I I I J I K L
1453
represents a background data set and when many onsite observations need to be compared with the BTV.
1454
1455
VALUES (total organic carbon)
1456
14571
General Statistics
1458
Total Number of Observations
2
Number of Missing Observations
0
1459
Number of Distinct Observations
1
1460
Number of Detects
0
Number of Non -Detects
2
1461
Number of Distinct Detects
0
Number of Distinct Non -Detects
1
1462
Minimum Detect
N/A
Minimum Non -Detect
1000
1463
Maximum Detect
N/A
Maximum Non -Detect
1000
1464
Variance Detected
N/A
Percent Non -Detects
100%
1465
Mean Detected
N/A
SD Detected
N/A
1466
Mean of Detected Logged Data
N/A
SD of Detected Logged Data
N/A
1467
1468
Warning: This data set only has 2 observationsl
1469
Data set is too small to compute reliable and meaningful statistics and estimates!
1470
The data set for variable VALUES (total organic carbon) was not processedl
1471
1472
It is suggested to collect at least 8 to 10 observations before using these statistical methods!
1473
If possible, compute and collect Data Quality Objectives (DQO) based sample size and analytical results.
1474
1475
1476
VALUES (total suspended solids)
1477
1478
General Statistics
1479
Total Number of Observations
4
Number of Missing Observations
0
1480
Number of Distinct Observations
3
1481
Number of Detects
1
Number of Non -Detects
3
1482
Number of Distinct Detects
1
Number of Distinct Non -Detects
2
1483
Minimum Detect
80900
Minimum Non -Detect
2500
1484
Maximum Detect
80900
Maximum Non -Detect
5000
1485
Variance Detected
N/A
Percent Non -Detects
75%
1486
Mean Detected
80900
SD Detected
N/A
1487
Mean of Detected Logged Data
11.3
SD of Detected Logged Data
N/A
1488
1489
Warning: Only one distinct data value was detectedl ProUCL (or any other software) should not be used on such a data sett
1490
It is suggested to use alternative site specific values determined by the Project Team to estimate environmental parameters (e.g., EPC, BTV).
1491
1492
The data set for variable VALUES (total suspended solids) was not processedl
1493
1494
1495
VALUES (zinc)
1496
1497
General Statistics
1498
Total Number of Observations
28
Number of Missing Observations
0
1499
Number of Distinct Observations
8
1500
Number of Detects
13
Number of Non -Detects
15
1501
Number of Distinct Detects
7
Number of Distinct Non -Detects
2
1502
Minimum Detect
6
Minimum Non -Detect
5
1503
Maximum Detect
14
Maximum Non -Detect
10
1504
Variance Detected
4.756
Percent Non -Detects
53.57%
1505
Mean Detected
8.615
SD Detected
2.181
1506
Mean of Detected Logged Data
2.127
SD of Detected Logged Data
0.233
1507
1508
Critical Values for Background Threshold Values (BTVs)
1509
Tolerance Factor K (For UTL) 2.246 d2max (for USL) 2.714
1510
1511
Normal GOF Test on Detects Only
1512
Shapiro Wilk Test Statistic
0.876
Shapiro Wilk GOF Test
1513
5% Shapiro Wilk Critical Value
0.866
Detected Data appear Normal at 5% Significance Level
1514
Lilliefors Test Statistic
0.226
Lilliefors GOF Test
1515
5% Lilliefors Critical Value
0.246
Detected Data appear Normal at 5% Significance Level
1516
Detected Data appear Normal at 5% Significance Level
1517
1518
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
A B C D E
F
G H 1 I J I K
L
1519
Mean
95% UTL95% Coverage
90% KM Percentile (z)
6.713
SD
2.295
1520
11.87
95% KM UPL (t)
10.69
1521
9.654
95% KM Percentile (z)
10.49
1522
99% KM Percentile (z)
12.05
95% KM USL
12.94
1523
1524
DL/2 Substitution Background Statistics Assuming Normal Distribution
1525
Mean
5.429
SD
3.385
1526
95% UTL95% Coverage
13.03
95% UPL (t)
11.3
1527
90% Percentile (z)
9.767
95% Percentile (z)
11
1528
99% Percentile (z)
13.3
95% USL
14.62
1529
DL/2 is not a recommended method. DL/2 provided for comparisons and historical reasons
1530
1531
Gamma GOF Tests on Detected Observations Only
1532
A-D Test Statistic
0.513
Anderson -Darling GOF Test
1533
5% A-D Critical Value
0.733
Detected data appear Gamma Distributed at 5% Significance Level
1534
K-S Test Statistic
0.211
Kolmogrov-Smimoff GOF
1535
5% K-S Critical Value
0.236
Detected data appear Gamma Distributed at 5% Significance Level
1536
Detected data appear Gamma Distributed at 5% Significance Level
1537
1538
Gamma Statistics on Detected Data Only
1539
k hat (MLE)
19.11
k star (bias corrected MLE)
14.75
1540
Theta hat (MLE)
0.451
Theta star (bias corrected MLE)
0.584
1541
nu hat (MLE)
496.9
nu star (bias corrected)
383.6
1542
MLE Mean (bias corrected)
8.615
1543
MLE Sd (bias corrected)
2.243
95% Percentile of Chisquare (2k) 43.17
1544
1545
Gamma ROS Statistics using Imputed Non -Detects
1546
GROS may not be used when data set has > 50% NDs with many tied observations at multiple DLs
1547
GROS may not be used when kstar of detected data is small such as < 0.1
1548
For such situations, GROS method tends to yield inflated values of UCLs and BTVs
1549
For gamma distributed detected data, BTVs and UCLs may be computed using gamma distribution on KM estimates
1550
Minimum
0.378
Mean
5.875
1551
Maximum
14
Median
5.374
1552
SD
3.181
CV
0.541
1553
k hat (MLE)
2.657
k star (bias corrected MLE)
2.396
1554
Theta hat (MLE)
2.211
Theta star (bias corrected MLE)
2.452
1555
nu hat (MLE)
148.8
nu star (bias corrected)
134.2
1556
MLE Mean (bias corrected)
5.875
MLE Sd (bias corrected)
3.796
1557
95% Percentile of Chisquare (2k)
10.75
90% Percentile
10.96
1558
95% Percentile
13.18
99% Percentile
18.04
1559
The following statistics are computed using Gamma ROS Statistics on Imputed Data
1560
Upper Limits using Wilson Hilferty (WH) and Hawkins Wbdey (HW) Methods
1561
WH
HW
WH
HW
1562
Approx. Gamma UTL with 95% Coverage
16.95
18.21
95% Approx. Gamma UPL
13.45
14.09
1563
95% Gamma USL
20.63
22.7
1564
1565
The following statistics are computed using gamma distribution and KM estimates
1566
Upper Limits using Wilson Hifferty (WH) and Hawkins Wbdey (HW) Methods
1567
k hat (KM)
8.556
nu hat (KM)
479.1
1568
WH
HW
WH
HW
1569
Approx. Gamma UTL with 95% Coverage
12.21
12.28
95% Approx. Gamma UPL
10.69
10.7
1570
95% Gamma USL
13.72
13.87
1571
1572
Lognormal GOF Test on Detected Observations Only
1573
Shapiro Wilk Test Statistic
0.93
Shapiro Wilk GOF Test
1574
5% Shapiro Wilk Critical Value
0.866
Detected Data appear Lognormal at 5% Significance Level
1575
Lilliefors Test Statistic
0.196
Lilliefors GOF Test
1576
5% Lilliefors Critical Value
0.246
Detected Data appear Lognormal at 5% Significance Level
1577
Detected Data appear Lognormal at 5% Significance Level
1578
1579
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
1580
Mean in Original Scale
6.45
Mean in Log Scale
1.79
1581
SD in Original Scale
2.606
SD in Log Scale
0.389
1582
95% UTL95% Coverage
14.37
95% BCA UTL95% Coverage
12.95
1583
95% Bootstrap (%) UTL95% Coverage
14
95% UPL (t)
11.77
1584
90% Percentile (z)
9.869
95% Percentile (z)
11.37
A B C I D E I F G H I I J I K I L
1585
99 % Percentile (z) 14.83 95% USL 17.25
1586
1587
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
1588
KM Mean of Logged Data
1.855
95% KM UTL (Lognormal)95% Coverage
12.52
15891
KM SD of Logged Data
95% KM Percentile Lognormal (z)
0.299
95% KM UPL (Lognormal)
10.74
1590
10.46
95% KM USL (Lognormal)
14.41
1591
1592
Background DL/2 Statistics Assuming Lognormal Distribution
1593
Mean in Original Scale
5.429
Mean in Log Scale
1.503
1594
SD in Original Scale
3.385
SD in Log Scale
0.625
1595
95% UTL95% Coverage
18.3
95% UPL (t)
13.29
1596
90% Percentile (z)
10.02
95% Percentile (z)
12.57
1597
99% Percentile (z)
19.24
95% USL
24.53
1598
DL/2 is not a Recommended Method. DL/2 provided for comparisons and historical reasons.
1599
1600
Nonparametric Distribution Free Background Statistics
1601
Data appear to follow a Discernible Distribution at 5% Significance Level
1602
1603
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
1604
Order of Statistic, r
28
95% UTL with95% Coverage
14
1605
Approximate f
1.474
Confidence Coefficient (CC) achieved by UTL
0.762
1606
95% UPL
12.65
959/6 USL
14
1607
95% KM Chebyshev UPL
16.89
1608
1609
Note: The use of USL to estimate a BTV is recommended only when the data set represents a background
1610
data set free of outliers and consists of observations collected from clean unimpacted locations.
1611
The use of USL tends to provide a balance between false positives and false negatives provided the data
1612
represents a background data set and when many onsite observations need to be compared with the BTV.
1613