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Background Monitoring Well Determinations
DRSS is a former coal-fired electricity generating facility along the Dan River. The natural
topography at the DRSS site generally slopes from the northwest to the southeast and ranges
from approximately 606 feet above mean sea level (msl) near the northern property boundary to
approximately 482 feet msl at the interface with the Dan River.
In June and September 2015, groundwater elevations were collected from on -site NPDES
compliance wells, voluntary wells, and newly installed CSA monitoring wells. Groundwater flow
was measured into a shallow (S/D wells) flow layer and a fractured bedrock (13R wells) flow
layer, and groundwater flow direction was estimated by contouring elevations in each flow layer.
In general, groundwater within the shallow and the fractured bedrock flow layers flows from the
northern extent of the DRSS property boundary south and southeast toward the Dan River.
The CSA submitted to the NCDEQ in August 2015 identified the ash storage areas and the
Primary and Secondary Cells of the ash basin system at the DRSS as potential source areas for
groundwater contamination. The ground surface elevations of the Primary and Secondary Cells
are approximately 540 feet and 530 feet msl, respectively. The ground surface elevations of Ash
Storage Area 1 and 2 are approximately 648 and 580, respectively. Ash porewater elevations
within the Primary and Secondary Cells were measured at approximately 520 feet msl in
September 2015 and have ranged (2011 to 2015) from approximately 518 feet to 526 feet msl.
Ash porewater elevations within Ash Storage Areas 1 and 2 were measured at approximately
544 feet msl and 549 feet msl, respectively.
Wells were chosen to represent background groundwater quality based on 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
determined groundwater flow direction. A summary table of information regarding the well and
groundwater is provided below. Each well or well pair is then described in more detail.
Table B-1. Background Monitoring Well Information
Distance and
Direction from Source
Elevation
Area
Ground
Elevation
of
Ash
Groundwater
Surface
of
Elevation of
Adjacent
Well ID
Ash Basin
Storage
Flow
Elevation
Screened
Groundwater
Source
(Primary/
Area
Direction
(ft msl)
Interval
(ft msl)
Area
Secondary
(Ash
(ft msl)
(ft msl)
Cell)
Storage
1 &2
2,200
580
MW-23D
3,20I0 (feet
feet
SE
524
504-514
517
W
Storage
Area 2)
2,200
580
MW-23BR
3,200 feet
feet
SE
524
463-468
—527
(Ash
NW
W
(artesian)
Storage
Area
580
GWA-9S
2,100 feet
375 feet
SE
608
561-576
581.5
(Ash
NW
N
Storage
Area
580
GWA-9D
2,100 feet
375 feet
S
608
536-541
580.37
(Ash
NW
N
Storage
Area
1,000
580
GWA-12S
2,3010 feet
feet
S
582
567-577
572.49
W
Storage
Area
1,000
580
GWA-12D
2,30I0 (feet
feet
S
582
550-555
564.31
W
Storage
Area
580
BG-5S
2,700 feet
2,200
SW
512
491-501
507.29
(Ash
NW
feet SW
Storage
Area
580
BG-5D
2,700 feet
2,200
SW
512
478-483
507.17
(Ash
NW
feet SW
Storage
Area
BG-1 D
1,800 feet
3,200
S
513
499-504
500.38
540
(Primary
SW
feet SW
Cell
MW-23D and MW-23BR
Monitoring well MW-23D was installed as a compliance background well for the NPDES
groundwater monitoring program and is paired with deep well MW-23BR, installed as part of the
CSA.
• The ground surface elevation at the MW-23D and MW-23BR well pair is approximately
524 feet msl, which is approximately 56 feet lower than the ground surface elevation at
Ash Storage Area 2.
• The monitoring well pair is located approximately 2,200 feet northwest of Ash Storage
Area 2 and is located approximately 200 feet from the unnamed stream on the western
boundary of the site.
• MW-23D is screened from approximately 10 to 20 feet below ground surface in the
shallow flow layer.
• MW-23D well screen interval elevation is approximately 504.47 to 514.47 feet msl with a
mean water level elevation (2011 to 2015) of approximately 517 feet msl indicating that
groundwater at this location is approximately 27 lower than the ash basin porewater
elevation in Ash Storage Area 2.
• MW-23BR is screened from approximately 56 feet to 61 feet below ground surface in the
fractured bedrock flow layer.
• MW-23BR well screen interval elevation is approximately 468.46 to 463.46 feet. During
the CSA groundwater sampling event, MW-23BR was noted to be under artesian
conditions suggesting a strong positive vertical hydraulic gradient. The groundwater
elevation at MW-23BR was approximated above the top of casing elevation of 527.22
feet.
• Based on extrapolation of groundwater flow data from on -site wells and evaluation of
topographic data, groundwater in wells MW-23D and MW-23BR originates from off -site
properties north and northeast of the well pair. These properties are used for residential
and recreational purposes and are not expected to contribute site -specific COls to
groundwater at this location.
Though topographically and hydraulically lower than the source area, monitoring wells MW-23D
and MW-23BR is considered to be representative of background water quality relative to the ash
disposal areas at the site based on the horizontal distance from the waste boundary to the
monitoring well, the relative distance from the unnamed stream on the western boundary of the
site (hydrogeologic discharge zone), and the determined groundwater flow direction.
GWA-9S and GWA-9D
Monitoring wells GWA-9S and GWA-91D were installed as a shallow and deep groundwater
assessment well pair to characterize soil and groundwater outside the waste boundary of the
ash basin and ash storage areas.
• The ground surface elevation at this monitoring well pair is approximately 608 feet,
which is approximately 64 feet higher than the ground surface elevation of Ash Storage
Area 2.
• The water elevation within Ash Storage Area 2 (measured in June 2015) was
approximately 544 feet.
• The monitoring well pair is located approximately 375 feet north of the northern end of
Ash Storage Area 2.
• GWA-9S is screened from approximately 32 feet to 47 feet below ground surface in the
shallow flow layer.
• GWA-9S well screen interval elevation is approximately 561.87 to 576.87 feet with a
groundwater elevation of approximately 581.50 feet in June 2015 indicating that
groundwater at this well is higher than the elevation of the nearest source area..
• GWA-91D is screened from approximately 67 to 72 feet below ground surface in the deep
(transition zone) flow layer.
• GWA-91D screen interval elevation is approximately 536.41 to 541.41 feet with a
groundwater elevation of 580.37 feet in June 2015 indicating that groundwater at this
well is higher than the elevation of the nearest source area.
• Based on extrapolation of groundwater flow data from on -site wells and evaluation of
topographic data, groundwater mounding is present in the shallow flow layer at well MW-
9D. Groundwater flow in the deep flow layer originates from off -site properties north of
the well pair. These properties are used for residential purposes and are not expected
to contribute site -specific COls to groundwater at this location.
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 porewater, determined groundwater flow direction,
that GWA-9S and GWA-91D represent background water quality relative to the ash disposal
areas at DRSS.
GWA-12S and GWA-12D
Monitoring wells GWA-12S and GWA-12D were installed as a shallow and deep groundwater
assessment well pair to characterize soil and groundwater outside the waste boundary of the
ash basin and ash storage areas.
• The ground surface elevation at the GWA-12 well pair is approximately 582 feet msl,
which is approximately 42 feet higher than the ground surface elevation at Ash Storage
Area 2.
4
• The monitoring well pair is located approximately 1,000 feet west of Ash Storage Area 2.
• GWA-12S is screened from approximately 5.5 feet to 15.5 feet below ground surface in
the shallow flow layer.
• GWA-12S well screen interval elevation is approximately 567 to 577 feet with a water
elevation measurement of 572.49 in June 2015 indicating that groundwater at this well
location is at least 26 feet above the ash basin porewater elevation.
• GWA-12D is screened from approximately 27 feet to 32 feet below ground surface in the
shallow flow layer.
• GWA-12D well screen interval elevation is approximately 550 to 555 feet with a water
elevation measurement of 564.31 in June 2015 indicating that groundwater at this well
location is at least 16 feet above the ash basin porewater elevation.
• Based on extrapolation of groundwater flow data from on -site wells and evaluation of
topographic data, groundwater in wells MW-12S and MW-12D originates from off -site
properties north of the well pair. These properties are used for residential purposes and
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 GWA-12S and GWA-12D represent background water quality relative
to the ash disposal areas at the site.
BG-5S and BG-5D
Monitoring wells BG-5S and BG-51D were installed a shallow and deep groundwater assessment
well pair to characterize soil and groundwater in areas determined to be topographically cross -
gradient of the DRSS ash basin and ash storage areas.
• The ground surface elevation at this monitoring well pair is approximately 512 feet.
The ground surface elevation at Ash Storage Area 2 is approximately 580 feet.
• The monitoring well pair is located approximately 2,200 feet west of Ash Storage Area 2.
• BG-5S is screened from approximately 10.5 feet to 20.5 feet below ground surface in the
shallow flow layer.
• BG-5S well screen interval elevation is approximately 491.76 to 501.76 feet with a
groundwater elevation of approximately 507.29 feet in June 2015, indicating that
groundwater at this location is 33 feet below ash basin porewater elevation.
• BG-51D is screened from approximately 28 to 33 feet below ground surface in the deep
(transition zone) flow layer.
• BG-51D screen interval elevation is approximately 478.94 to 483.94 feet with a
groundwater elevation of 507.17 feet in June 2015.
• Based on extrapolation of groundwater flow data from on -site wells and evaluation of
topographic data, groundwater in wells BG-5S and BG-51D originates from portions of the
DRSS site north and northeast of the well pair and upgradient of source areas. This
portion of the DRSS site has not been impacted by historical ash handling and is not
expected to contribute site -specific COls to groundwater at this location.
Though topographically lower than the source area, monitoring wells BG-5S and BG-5D are
considered to be cross -gradient based on the direction of groundwater flow, the horizontal
distance from the nearest source area, and the proximity to the nearest hydrogeologic
discharge area (unnamed stream approximately 100 feet to the west).
BG-1 D
Monitoring well BG-1 D was installed in an area assumed to not be impacted by and
topographically cross gradient of the DRSS ash basin and ash storage areas.
• The ground surface elevation at BG-1 D is approximately 513 feet msl, which is
approximately 27 feet lower than the ground surface elevation at the Primary Cell.
• The monitoring well is located approximately 3,700 feet west and cross -gradient of the
Primary Cell.
• The well is also located approximately 120 feet from the Dan River to the south.
• BG-1 D is screened from approximately 9 to 14 feet below ground surface in the shallow
flow layer.
• BG-1 D screen interval elevation is approximately 499.29 feet to 504.29 feet msl with a
groundwater elevation of 500.38 feet msl in June 2015 indicating that groundwater at
this location is approximately 20 feet lower that the ash basin porewater elevation.
• Based on extrapolation of groundwater flow data from on -site wells and evaluation of
topographic data, groundwater in well BG-1 D originates from portions of the DRSS site
north and northeast of the well and upgradient of source areas. Further, this well is
separated from upgradient portions of the DRSS site by the western tributary. This
portion of the DRSS site has not been impacted by historical ash handling and is not
expected to contribute site -specific COls to groundwater at this location.
Though topographically and hydraulically lower than the source area, monitoring well BG-1 D is
considered to be representative of background water quality relative to the ash disposal areas at
the site based on the horizontal distance from the waste boundary to the monitoring well, the
relative distance from the Dan River (hydrogeologic discharge zone), and the determined
groundwater flow direction.
Turbidity and pH measurements were used to determine the whether data could be used to
develop proposed provisional background concentrations. Turbidity measurements greater than
10 NTUs and pH measurements greater than approximately 9 SUs were considered to be
above acceptable limits for use in statistical analysis.
Turbidity measurements in well MW-23D in May and September 2013 ranged from 8.21
to 9.41. All other sampling events for this well showed turbidities greater than
10.Turbidity measurements in MW-23BR were 0.22 NTUs during the June 2015
s
sampling event. pH was measured in MW-23BR at 7.45 SUs in the June 2015 sampling
event. pH measurements from MW-23D ranged (January 2011 to June 2014) from 5.76
to 6.90.
• Turbidity measurements in GWA-9S and GWA-91D were higher than 10 NTU during the
June 2015 sampling event. Turbidity values at GWA-9S and GWA-91D were 235.9 and
16.28 respectively in June 2015. These wells were re -developed and resampled in
August 2015. Turbidities at that time were 7.2 and 0.9 NTUs respectively in the second
sampling round. pH values at GWA-9S and GWA-91D were 5.55 and 6.4 SU respectively
during the June sampling event.
• Turbidity measurements in GWA-12S and GWA-12D were 2.38 and 8.35 NTUs,
respectively during the June 2015 sampling event. pH measurements in GWA-12S and
GWA-12D were measured at 5.45 and 7.47 SUs in the June 2015 sampling event.
• Turbidity at BG-5S and BG-5Dwas lower than 10 NTU during the June 2015 sampling
event. pH at BG-5S and BG-5D was measured at 6.14 and 7.06 SU in June 2015.
• Turbidity measurements in BG-1 D were 0.22 NTUs during the June 2015 sampling
event. pH measurements in BG-1 D was measured at 7.45 SUs in the June 2015
sampling event.
In addition to looking at the pH and turbidity to assess the water quality, 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. These values are shown in Table
2-2 of the CAP Part I report. In general, the concentrations of COls in the background wells are
within the range of both the regional background and the 2-10 data, with the following
exceptions:
• Cobalt concentrations match the regional background concentrations, but are slightly
higher than the 2-10 data.
• Iron concentrations match the wide range of the regional background concentrations but
are somewhat higher than the 2-10 data. Iron concentrations generally vary with
turbidity, and this could be the cause of this variation.
• Manganese generally matches the regional background concentration range, and is
higher than the 2-10 data.
• Sulfate concentrations in on -site background wells are higher than that measured in the
2-10 data. Sulfate concentrations have the same average as the regional data.
• Vanadium in site background wells is higher than the regional background
concentrations, but much lower (2-3 orders of magnitude) 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 data being
collected in 2015 (for a total of four sampling rounds in 2015) will provide additional data for
decision -making.
Soil Background Statistics for Dan River
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, uses 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 Dan River 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
(23 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 9 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). Dan River 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 Appendix B.
Table 1. Summary Statistics for Subsurface Soils Dan River
Variable
n'
Detect
Non-
Detects(mg/Kg)
KM
Mean
Detect
Mean
Detect
Median
KM J
SD
Detect
SD
Detect
Min
Detect
Max
Aluminum
23
23
0
21,380
21,380
19,800
8,149
8,149
7,360
38,900
Antimony
23
0
23
NS
NS
NS
NS
NS
NS
NS
Arsenic
23
12
11
7.91
11.1
8.90
6.47
7.97
3.10
30.6
Barium
23
1 23
0
96.1
96.1
73.8
58.2
58.2
1 34.2
242
Beryllium
23
23
0
1.58
1.58
1.50
0.75
0.75
0.59
3.90
Boron
23
5
18
22.4
55.0
60.1
17.8
11.3
35.9
63.1
Cadmium
23
1
22
0.44
0.44
0.44
0
NS
0.44
0.44
Calcium
23
20
3
5,470
6,280
2,930
8,910
9,540
77.4
39,100
Chloride
23
1
22
168
168
168
0
NS
168
168
Chromium
23
23
0
36.2
36.2
27.1
39.0
39.0
6.40
187
Cobalt
23
23
0
18.1
18.1
16.7
7.71
7.71
7.50
42.6
Copper
23
23
0
46.2
46.2
57.0
23.9
23.9
2.80
79.5
Iron
23
23
0
43,309
43,309
42,700
19,433
19,433
12,200
95,900
Lead
23
23
0
17.3
17.3
17.5
5.40
5.40
8.20
31.3
Magnesium
23
23
0
7,077
7,077
5,090
5,289
5,289
924.0
19,400
Manganese
23
23
0
789
789
395
1,120
1,120
82.7
5,170
Mercury
23
17
6
0.012
0.014
0.009
0.010
0.012
0.005
0.040
Molybdenum
23
9
14
3.36
5.72
3.20
4.37
6.66
1.60
22.6
Nickel
23
23
0
28.2
28.2
27.5
13.5
13.5
6.70
52.2
Nitrate
23
0
23
NS
NS
NS
NS
NS
NS
NS
H field
23
23
0
6.34
6.34
6.00
1.29
1.29
4.50
8.60
Potassium
23
23
0
1,250
1,250
1,340
775
775
168
2,730
Selenium
23
2
21
4.07
5.85
5.85
0.80
2.76
3.90
7.80
Sodium
23
4
19
180
180
178
16.7
19.3
160
205
Strontium
23
23
0
46.0
46.0
21.8
58.6
58.6
1.90
257
Sulfate
23
3
20
189
189
179
40.63
49.76
145
243
Thallium
23
0
23
NS
NS
NS
NS
NS
NS
NS
TOC
23
23
0
5,390
5,390
1,720
6,760
6,760
457
23,800
Vanadium
23
23
0
35.1
35.1
33.8
18.6
18.6
8.40
75.7
Zinc
23
23
0
99.3
99.3
91.4
50.4
50.4
23.5
203
n = number of samples, 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 Dan River
Constituent
Distribution
95916
Percentile
95% UTL
95% UPL
95% USL
(mg /K
Aluminum
Normal
33,200
40,400
35,700
42,800
Antimony
NS'
NS
NS
NS
NS
Arsenic
Normal
19.5
23.0
19.3
24.9
Barium
Log Normal
210
281
208
328
Beryllium
Normal
2.65
3.33
2.89
3.55
Boron
Normal
61.9
63.9
53.7
69.1
Cadmium
NS
NS
NS
NS
NS
Calcium
Log Normal
22,530
118,100
39,950
206,600
Chloride
NS
NS
NS
NS
NS
Chromium
Log Normal
105
144
95.0
178
Cobalt
Normal
27.1
36.0
31.6
38.3
Copper
Nonparametric
70.4
79.5
77.7
79.5
Iron
Normal
63,220
88,550
77,400
94,300
Lead
Normal
25.6
29.9
26.8
31.5
Magnesium
Log Normal
17,500
38,120
23,360
49,070
Manganese
Log Normal
2,670
4,150
2,440
5,460
Mercury
Log Normal
0.037
0.041
0.029
0.049
Molybdenum
Normal
7.22
13.5
8.96
13.5
Nickel
Normal
47.8
59.7
51.9
63.7
Nitrate
NS
NS
NS
NS
NS
pH (field)
NS
NS
NS
NS
NS
Potassium
Normal
2,190
3,060
2,610
3,290
Selenium
NS
7.56
NS
NS
NS
Sodium
Normal
355
2190
210
224
Strontium
Log Normal
137
569
251
866
Sulfate
NS
NS
NS
NS
NS
Thallium
NS
NS
NS
NS
NS
TOC
Log Normal
19,540
50,150
24,010
73,310
Vanadium
Normal
67.0
78.3
67.6
83.7
Zinc
Normal
188
217
188
232
'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
Dan River Dataset
Location ID
Sample ID
GWA-9D
GWA-9D(20-21.5)
GWA-9D
GWA-9D(30-31.5)
GWA-9D
GWA-9D(40-41.5)
GWA-9D
GWA-9D(55-56.5)
GWA-12D
GWA-12D(10-11.5)
GWA-12D
GWA-12D(15-15.2)
GWA-12D
GWA-12D(20-21)
GWA-12S
GWA-12S(13-15)
SB-1
SB-1(10-11.5)
SB-1
SB-1(15-16.5)
SB-1
SB-1(20-21.5)
SB-1
SB-1(25-26.5)
SB-1
SB-1(35-35.5)
SB-2
SB-2(10-11.5)
SB-2
SB-2(20-21.5)
SB-2
SB-2(30-31.25)
SB-2
SB-2(35-36)
SB-2
SB-2(65-65.3)
SB-3
SB-3 (10-11)
SB-3
SB-3(20-21.5)
SB-3
SB-3(35-36.5)
SB-3
SB-3(40-40.3)
SB-3
SB-3(45-45.2)
Sample Depth Aluminum D_Aluminum Antimony D_Antimony Arsenic D_Arsenic Barium D Barium Beryllium D_Beryllium Boron D_Boron Cadmium D_Cadmium Calcium D_Calcium
20-21.5
9620
1
5.4
0
5.4
0
34.2
1
0.64
1
13.4
0
0.64
0
77.4 1
30-31.5
11700
1
6.0
0
6.0
0
58.7
1
1.70
1
14.9
0
0.71
0
109.0 1
40-41.5
7360
1
5.8
0
5.8
0
40.5
1
0.93
1
14.6
0
0.70
0
289.0 1
55-56.5
23900
1
6.3
0
4.6
1
101.0
1
2.00
1
15.8
0
0.76
0
39100.0 1
10-11.5
38900
1
6.0
0
14.8
1
242.0
1
1.80
1
62.1
1
0.72
0
4810.0 1
15-15.2
30500
1
5.7
0
15.0
1
193.0
1
1.70
1
53.8
1
0.68
0
5660.0 1
20-21
25900
1
5.1
0
6.9
1
109.0
1
1.10
1
63.1
1
0.62
0
23900.0 1
13-15
32900
1
7.6
0
30.6
1
200.0
1
2.00
1
60.1
1
0.91
0
4990.0 1
10-11.5
33200
1
5.6
0
4.6
1
59.6
1
3.90
1
14.0
0
0.67
0
140.0 0
15-16.5
23600
1
6.0
0
3.1
1
51.6
1
2.70
1
15.1
0
0.72
0
151.0 0
20-21.5
27600
1
5.9
0
5.3
1
74.8
1
2.20
1
14.8
0
0.71
0
269.0 1
25-26.5
18700
1
5.6
0
20.0
1
73.8
1
1.70
1
14.1
0
0.44
1
9480.0 1
35-35.5
16600
1
5.5
0
5.5
0
67.4
1
1.50
1
13.8
0
0.66
0
1020.0 1
10-11.5
27700
1
5.8
0
5.8
0
110.0
1
2.10
1
14.5
0
0.69
0
145.0 0
20-21.5
24300
1
5.9
0
10.6
1
211.0
1
1.90
1
14.8
0
0.71
0
1930.0 1
30-31.25
17400
1
5.9
0
9.2
1
71.3
1
1.00
1
14.7
0
0.71
0
4160.0 1
35-36
19800
1
5.4
0
5.4
0
61.9
1
0.59
1
13.5
0
0.65
0
9850.0 1
65-65.3
24600
1
6.1
0
8.6
1
74.4
1
0.86
1
15.2
0
0.73
0
10200.0 1
10-11
15000
1
6.4
0
6.4
0
104.0
1
1.20
1
16.0
0
0.77
0
1480.0 1
20-21.5
17700
1
5.8
0
5.8
0
63.0
1
1.50
1
14.5
0
0.70
0
433.0 1
35-36.5
12100
1
6.5
0
6.5
0
89.7
1
0.75
1
35.9
1
0.79
0
2010.0 1
40-40.3
15600
1
7.2
0
7.2
0
63.1
1
1.50
1
17.9
0
0.86
0
3110.0 1
45-45.2
17100
1
5.5
0
5.5
0
56.7
1
1.00
1
13.8
0
0.66
0
2740.0 1
Location ID
Chloride D_Chloride
Chromium
D_Chromium
Cobalt D_Cobalt
Copper D_Copper
Iron D_Iron
GWA-9D
276
0 18.8
1
10.5
1 6.4
1 16500
GWA-9D
300
0 10.6
1
16.8
1 16.8
1 16900
GWA-9D
294
0 6.4
1
9.3
1 2.8
1 12200
GWA-9D
323
0 28.1
1
16.7
1 70.3
1 55900
GWA-12D
303
0 46.2
1
27.2
1 70.4
1 63300
GWA-12D
290
0 42.9
1
22.5
1 58.9
1 52200
GWA-12D
258
0 187.0
1
21.5
1 69.6
1 62500
GWA-12S
372
0 48.7
1
23.9
1 67.5
1 58700
SB-1
267
0 32.7
1
18.9
1 44.6
1 95900
SB-1
287
0 19.9
1
16.2
1 25.1
1 54700
SB-1
285
0 28.5
1
14.6
1 47.9
1 54800
SB-1
293
0 17.0
1
26.2
1 79.5
1 39300
SB-1
168
1 15.4
1
12.5
1 65.4
1 28500
SB-2
284
0 30.9
1
12.0
1 57.0
1 49100
SB-2
289
0 111.0
1
42.6
1 66.1
1 60300
SB-2
285
0 34.7
1
20.1
1 68.4
1 42700
SB-2
279
0 27.1
1
12.0
1 30.2
1 37100
SB-2
291
0 36.1
1
21.8
1 57.8
1 49200
SB-3
322
0 19.3
1
16.1
1 23.3
1 27700
SB-3
280
0 17.7
1
7.5
1 23.4
1 28800
SB-3
339
0 12.8
1
22.6
1 15.6
1 34400
SB-3
345
0 19.1
1
12.8
1 64.3
1 26700
SB-3
279
0 21.1
1
10.9
1 31.0
1 28700
Lead D_Lead
Magnesium D_Magnesium
Manganese D_Manganese
1 11.6
1
930
1 267.0
1 14.0
1
1700
1 275.0
1 18.2
1
924
1 328.0
1 8.2
1
10700
1 5170.0
1 17.5
1
17900
1 916.0
1 16.1
1
12600
1 823.0
1 13.0
1
19400
1 1120.0
1 21.5
1
13900
1 698.0
1 25.9
1
6110
1 418.0
1 18.4
1
4050
1 202.0
1 14.9
1
4050
1 145.0
1 31.3
1
4690
1 328.0
1 13.8
1
5790
1 304.0
1 21.5
1
4490
1 256.0
1 18.9
1
4790
1 1150.0
1 18.2
1
8470
1 395.0
1 11.4
1
10800
1 837.0
1 16.5
1
12700
1 433.0
1 23.0
1
3060
1 601.0
1 17.8
1
2330
1 82.7
1 22.9
1
2430
1 2840.0
1 13.0
1
5090
1 289.0
1 10.3
1
5860
1 274.0
Mercury D_Mercury
Molybdenum
1 0.0094
1 1.6
1 0.0068
1 3.0
1 0.0091
0 2.9
1 0.0110
1 3.2
1 0.0092
0 3.0
1 0.0092
0 2.2
1 0.0088
0 22.6
1 0.0090
1 5.6
1 0.0069
1 2.8
1 0.0052
1 3.0
1 0.0400
1 3.0
1 0.0380
1 7.4
1 0.0047
1 2.8
1 0.0120
1 2.9
1 0.0240
1 5.4
1 0.0086
1 3.2
1 0.0073
1 1.9
1 0.0110
1 1.6
1 0.0300
1 3.2
1 0.0052
1 2.9
1 0.0110
0 3.3
1 0.0077
1 3.6
1 0.0093
0 2.8
Percent D_Percent
Location ID
D_Molybdenum
Nickel D_Nickel
Nitrate
D_Nitrate
Moisture Moisture
GWA-9D
1
6.7
1 27.6
0
11.3
GWA-9D
0
12.5
1 30.0
0
15.8
GWA-9D
0
7.0
1 29.4
0
14.8
GWA-9D
0
45.8
1 32.3
0
22.8
GWA-12D
0
48.0
1 30.3
0
17.2
GWA-12D
1
39.7
1 29.0
0
13.9
GWA-12D
1
45.3
1 25.8
0
5.7
GWA-12S
1
41.9
1 37.2
0
34.9
SB-1
0
52.2
1 26.7
0
6.5
SB-1
0
27.5
1 28.7
0
14.4
SB-1
0
17.1
1 28.5
0
12.5
SB-1
1
38.9
1 29.3
0
14.8
SB-1
0
28.8
1 26.8
0
6.9
SB-2
0
19.1
1 28.4
0
12.3
SB-2
1
36.3
1 28.9
0
13.7
SB-2
1
32.4
1 28.5
0
SB-2
1
19.4
1 27.9
0
11.5
SB-2
1
31.9
1 29.1
0
14.8
SB-3
0
12.0
1 32.2
0
22.2
SB-3
0
16.9
1 28.0
0
11.5
SB-3
0
21.9
1 33.9
0
27.0
SB-3
0
24.4
1 34.5
0
27.5
SB-3
0
23.4
1 27.9
0
12.8
pH (field) D_pH (field)
Potassium D_Potassium
1 5.2
1 579
1 5.6
1 329
1 6.0
1 214
1 7.4
1 1700
1 5.6
1 1920
1 7.9
1 1740
1 7.7
1 1810
1 6.3
1 1800
1 4.9
1 168
1 5.3
1 247
1 5.4
1 605
1 4.5
1 1340
1 5.5
1 1190
1 5.5
1 2730
1 5.3
1 2100
6.5
1 2200
1 8.6
1 1800
1 8.6
1 1970
1 5.0
1 1700
1 6.0
1 308
1 7.1
1 313
1 7.6
1 1080
1 8.4
1 958
Selenium
D_Selenium
Sodium D_Sodium
Strontium D_Strontium
Sulfate D_Sulfate
1 4.0
0
269
0 2.3
1 276
1 4.5
0
298
0 5.6
1 300
1 4.4
0
292
0 9.0
1 294
1 7.8
1
315
0 144.0
1 323
1 3.9
1
185
1 75.3
1 303
1 5.7
0
172
1 70.5
1 290
1 5.1
0
205
1 257.0
1 258
1 7.6
0
378
0 72.5
1 372
1 5.6
0
280
0 1.9
1 267
1 6.0
0
301
0 3.2
1 287
1 5.9
0
297
0 21.8
1 285
1 5.6
0
282
0 78.0
1 243
1 5.5
0
275
0 12.1
1 268
1 5.8
0
289
0 4.4
1 284
1 5.9
0
297
0 73.9
1 289
1 5.9
0
295
0 36.4
1 145
1 5.4
0
269
0 52.8
1 279
1 6.1
0
160
1 60.7
1 291
1 6.4
0
320
0 13.0
1 322
1 5.8
0
290
0 2.5
1 280
1 6.5
0
327
0 24.2
1 339
1 7.2
0
358
0 19.3
1 345
1 5.5
0
275
0 17.1
1 179
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
Total
D_Total
Location ID
Thallium
D_Thallium
Organic
Organic Carbon Vanadium D_Vanadium
Zinc D_Zinc
GWA-9D
5.4
0
490
1
15.5
1 23.5
GWA-9D
6.0
0
570
1
14.9
1 57.0
GWA-9D
5.8
0
457
1
8.4
1 26.0
GWA-9D
6.3
0
23800
1
18.7
1 203.0
GWA-12D
6.0
0
746
1
75.7
1 136.0
GWA-12D
5.7
0
1650
1
65.1
1 106.0
GWA-12D
5.1
0
3650
1
56.9
1 112.0
GWA-12S
7.6
0
1530
1
67.2
1 119.0
SB-1
5.6
0
1080
1
49.5
1 178.0
SB-1
6.0
0
1280
1
38.7
1 107.0
SB-1
5.9
0
12300
1
54.4
1 70.5
SB-1
5.6
0
13500
1
19.1
1 178.0
SB-1
5.5
0
4420
1
16.0
1 72.6
SB-2
5.8
0
718
1
41.4
1 83.5
SB-2
5.9
0
7430
1
33.8
1 104.0
SB-2
5.9
0
14500
1
24.2
1 113.0
SB-2
5.4
0
3680
1
26.2
1 74.1
SB-2
6.1
0
20100
1
34.1
1 91.4
SB-3
6.4
0
6120
1
35.0
1 46.5
SB-3
5.8
0
583
1
34.3
1 61.1
SB-3
6.5
0
862
1
21.5
1 47.8
SB-3
7.2
0
2880
1
27.0
1 189.0
SB-3
5.5
0
1720
I
28.6
1 83.8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Attachment 6
ProUCL 5.0.00 Printout
User Selected Options
Date/Time of Computation
From File
Full Precision
Confidence Coefficient
Coverage
Different or Future K Observation
Number of Bootstrap Operations
Background Statistics for Data Sets with Non -Detects
10/27/2015 8:50
REV01 ProUCL data Dan River - REVISED 20151026100912.xis
OFF
95%
95%
2000
Aluminum
General Statistics
Total Number of Observations
23 Number of Distinct Observations
23
Minimum
7360 First Quartile
16100
Second Largest
33200 Median
19800
Maximum
38900 Third Quartile
26750
Mean
21382 SD
8149
Coefficient of Variation
0.381 Skewness
0.287
Mean of logged Data
9.893 SD of logged Data
0.419
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.328 d2max (for USL)
2.624
Normal GOF Test
Shapiro Wilk Test Statistic 0.979 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.914 Data appear Normal at 5% Significance Level
Lilliefors Test Statistic 0.109 Lilliefors GOF Test
5% Lilliefors Critical Value 0.185 Data appear Normal at 5% Significance Level
Data appear Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage 40352 90% Percentile (z) 31825
95% UPL (t) 35675 95% Percentile (z) 34785
95% USL 42763 99% Percentile (z) 40338
Gamma GOF Test
A-D Test Statistic 0.209 Anderson -Darling Gamma GOF Test
5% A-D Critical Value 0.746 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.129 Kolmogrov-Smirnoff Gamma GOF Test
5% K-S Critical Value 0.182 Detected data appear Gamma Distributed at 5% Significance Level
Detected data appear Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MILE) 6.619 k star (bias corrected MLE) 5.785
Theta hat (MLE) 3230 Theta star (bias corrected MLE) 3696
nu hat (MILE) 304.5 nu star (bias corrected) 266.1
MILE Mean (bias corrected) 21382 MLE Sd (bias corrected) 8890
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL 38423 90% Percentile 33270
95% Hawkins Wixley (HW) Approx. Gamma UPL 38993 95% Percentile 37787
95% WH Approx. Gamma UTL with 95% Coverage 46092 99% Percentile 47270
95% HW Approx. Gamma UTL with 95% Coverage 47326
95% WH USL 50416 95% HW USL 52110
Lognormal GOF Test
Shapiro Wilk Test Statistic 0.966 Shapiro Wilk Lognormal GOF Test
5% Shapiro Wilk Critical Value 0.914 Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.141 Lilliefors Lognormal GOF Test
5% Lilliefors Critical Value 0.185 Data appear Lognormal at 5% Significance Level
Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage 52449 90% Percentile (z) 33842
95% UPL (t) 41245 95% Percentile (z) 39402
95% USL 59367 99% Percentile (z) 52413
Nonparametric Distribution Free Background Statistics
Data appear Normal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r 23 95% UTL with 95% Coverage 38900
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% Percentile Bootstrap UTL with 95% Coverage 38900 95% BCA Bootstrap UTL with 95% Coverage 38900
95% UPL 37760 90% Percentile 32420
90% Chebyshev UPL 46353 95% Percentile 33170
95% Chebyshev UPL 57665 99% Percentile 37646
95% USL 38900
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
23 Number of Missing Observations
0
14
0 Number of Non -Detects
23
0 Number of Distinct Non -Detects
14
N/A
Minimum Non -Detect
5.1
N/A
Maximum Non -Detect
7.6
N/A
Percent Non -Detects
100%
N/A
SD Detected
N/A
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 Antimony was not processed!
Arsenic
General Statistics
Total Number of Observations
23 Number of Missing Observations
0
Number of Distinct Observations
18
Number of Detects
12 Number of Non -Detects
11
Number of Distinct Detects
11 Number of Distinct Non -Detects
7
Minimum Detect
3.1 Minimum Non -Detect
5.4
Maximum Detect
30.6 Maximum Non -Detect
7.2
Variance Detected
63.48 Percent Non -Detects
47.83%
Mean Detected
11.11 SD Detected
7.967
Mean of Detected Logged Data
2.194 SD of Detected Logged Data
0.678
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.328 d2max (for USL)
2.624
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.859 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.859 Data Not Normal at 5% Significance Level
Lilliefors Test Statistic 0.192 Lilliefors GOF Test
5% Lilliefors Critical Value 0.256 Detected Data appear Normal at 5% Significance Level
Detected Data appear Approximate Normal at 5% Significance Level
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 7.907 SD 6.47
95% UTL95% Coverage 22.97 95% KM UPL (t) 19.26
90% KM Percentile (z) 16.2 95% KM Percentile (z) 18.55
99% KM Percentile (z) 22.96 95% KM USL 24.88
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 7.215 SD 7.004
95% UTL95% Coverage 23.52 95% UPL (t) 19.5
90% Percentile (z) 16.19 95% Percentile (z) 18.74
99% Percentile (z) 23.51 95% USL 25.59
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 0.254 Anderson -Darling GOF Test
5% A-D Critical Value 0.74 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.127 Kolmogrov-Smirnoff GOF
5% K-S Critical Value 0.248 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 (MLE)
2.499 k star (bias corrected MLE)
1.93
Theta hat (MLE)
4.445 Theta star (bias corrected MLE)
5.756
nu hat (MLE)
59.98 nu star (bias corrected)
46.32
MLE Mean (bias corrected)
11.11
MLE Sd (bias corrected)
7.996 95% Percentile of Chisquare (2k)
9.26
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
0.155 Mean
7.171
Maximum
30.6 Median
4.614
SD
7.118 CV
0.993
k hat (MLE)
1.226 k star (bias corrected MLE)
1.095
Theta hat (MLE)
5.85 Theta star (bias corrected MLE)
6.55
nu hat (MLE)
56.38 nu star (bias corrected)
50.36
MLE Mean (bias corrected)
7.171 MLE Sd (bias corrected)
6.853
95% Percentile of Chisquare (2k)
6.354 90% Percentile
16.15
95% Percentile
20.81 99% Percentile
31.56
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 30.02
32.98 95% Approx. Gamma UPL
21.35 22.49
95% Gamma USL 35.28
39.64
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)
1.494 nu hat (KM)
68.71
WH
HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 24
24.38 95% Approx. Gamma UPL
18.4 18.37
95% Gamma USL 27.3
28.01
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic 0.977 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.859 Detected Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.115 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
7.884 Mean in Log Scale
1.84
SD in Original Scale
6.633 SD in Log Scale
0.629
95% UTL95% Coverage
27.22 95% BCA UTL95% Coverage
30.6
95% Bootstrap (%) UTL95% Coverage
30.6 95% UPL (t)
18.97
90% Percentile (z)
14.09 95% Percentile (z)
17.71
99% Percentile (z)
27.2 95% USL
32.79
Statistics using KM estimates on Logged Data and Assuming
Lognormal Distribution
KM Mean of Logged Data
1.846 95% KM UTL (Lognormal)95% Coverage
26.21
KM SD of Logged Data
0.61 95% KM UPL (Lognormal)
18.47
95% KM Percentile Lognormal (z)
17.28 95% KM USL (Lognormal)
31.4
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale 7.215 Mean in Log Scale 1.663
SD in Original Scale 7.004 SD in Log Scale 0.745
95% UTL95% Coverage 29.92 95% UPL (t) 19.51
90% Percentile (z) 13.72 95% Percentile (z) 17.98
99% Percentile (z) 29.88 95% USL 37.3
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 23 95% UTL with95% Coverage 30.6
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% UPL 28.48 95% USL 30.6
95% KM Chebyshev UPL 36.72
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.
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 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 (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 Approximate 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 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
23 Number of Distinct Observations
23
34.2 First Quartile
60.75
211 Median
73.8
242 Third Quartile
106.5
96.12 SD
58.22
0.606 Skewness
1.467
4.424 SD of logged Data
0.522
2.328 d2max (for USL) 2.624
0.787 Shapiro Wilk GOF Test
0.914 Data Not Normal at 5% Significance Level
0.252 Lilliefors GOF Test
0.185 Data Not Normal at 5% Significance Level
231.6 90% Percentile (z) 170.7
198.2 95% Percentile (z) 191.9
248.9 99% Percentile (z) 231.5
1.171 Anderson -Darling Gamma GOF Test
0.749 Data Not Gamma Distributed at 5% Significance Level
0.22 Kolmogrov-Smirnoff Gamma GOF Test
0.182 Data Not Gamma Distributed at 5% Significance Level
3.678 k star (bias corrected MILE) 3.228
26.13 Theta star (bias corrected MILE) 29.78
169.2 nu star (bias corrected) 148.5
96.12 MILE Sd (bias corrected) 53.5
201.5 90% Percentile 167.9
202.7 95% Percentile 197.6
253.6 99% Percentile 261.7
258.8
283.7 95% HW USL 291.9
0.924 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.191 Lilliefors Lognormal GOF Test
0.185 Data Not Lognormal at 5% Significance Level
281 90% Percentile (z) 162.8
208.3 95% Percentile (z) 196.7
328 99% Percentile (z) 280.8
23 95% UTL with 95% Coverage
242
1.211 Confidence Coefficient (CC) achieved by UTL
0.693
242 95% BCA Bootstrap UTL with 95% Coverage
238.9
235.8 90% Percentile
198.6
274.5 95% Percentile
209.9
355.3 99% Percentile
235.2
242
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 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
23 Number of Distinct Observations
17
0.59 First Quartile
1
2.7 Median
1.5
3.9 Third Quartile
1.95
1.577 SD
0.751
0.476 Skewness
1.295
0.352 SD of logged Data
0.469
2.328 d2max (for USL) 2.624
0.903 Shapiro Wilk GOF Test
0.914 Data Not Normal at 5% Significance Level
0.116 Lilliefors GOF Test
0.185 Data appear Normal at 5% Significance Level
3.325 90% Percentile (z) 2.539
2.894 95% Percentile (z) 2.812
3.547 99% Percentile (z) 3.323
0.293 Anderson -Darling Gamma GOF Test
0.747 Detected data appear Gamma Distributed at 5% Significance Level
0.124 Kolmogrov-Smirnoff Gamma GOF Test
0.182 Detected data appear Gamma Distributed at 5% Significance Level
5.003 k star (bias corrected MLE) 4.379
0.315 Theta star (bias corrected MLE) 0.36
230.1 nu star (bias corrected) 201.4
1.577 MLE Sd (bias corrected) 0.754
3.041 90% Percentile 2.587
3.079 95% Percentile 2.985
3.728 99% Percentile 3.833
3.824
4.119 95% HW USL 4.258
0.972 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.154 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
4.24 90% Percentile (z) 2.595
3.239 95% Percentile (z) 3.077
4.872 99% Percentile (z) 4.237
23 95% UTL with 95% Coverage 3.9
1.211 Confidence Coefficient (CC) achieved by UTL 0.693
3.9 95% BCA Bootstrap UTL with 95% Coverage 3.9
3.66 90% Percentile 2.18
3.878 95% Percentile 2.65
4.92 99% Percentile 3.636
3.9
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
23 Number of Missing Observations
0
Number of Distinct Observations
20
Number of Detects
5 Number of Non -Detects
18
Number of Distinct Detects
5 Number of Distinct Non -Detects
15
Minimum Detect
35.9 Minimum Non -Detect
13.4
Maximum Detect
63.1 Maximum Non -Detect
17.9
Variance Detected
127.1 Percent Non -Detects
78.26%
Mean Detected
55 SD Detected
11.27
Mean of Detected Logged Data
3.987 SD of Detected Logged Data
0.236
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.328 d2max (for USL)
2.624
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.793 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.762 Detected Data appear Normal at 5% Significance Level
Lilliefors Test Statistic 0.275 Lilliefors GOF Test
5% Lilliefors Critical Value 0.396 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 22.44 SD 17.79
95% UTL95% Coverage 63.86 95% KM UPL (t) 53.65
90% KM Percentile (z) 45.24 95% KM Percentile (z) 51.71
99% KM Percentile (z) 63.83 95% KM USL 69.13
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 17.73 SD 20.66
95% UTL95% Coverage 65.82 95% UPL (t) 53.96
90% Percentile (z) 44.2 95% Percentile (z) 51.71
99% Percentile (z) 65.79 95% USL 71.93
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 0.672 Anderson -Darling GOF Test
5% A-D Critical Value 0.679 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.297 Kolmogrov-Smirnoff GOF
5% K-S Critical Value 0.357 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 (MLE) 24.87 k star (bias corrected MLE)
10.08
Theta hat (MLE) 2.211 Theta star (bias corrected MLE)
5.455
nu hat (MLE) 248.7 nu star (bias corrected)
100.8
MLE Mean (bias corrected) 55
MLE Sd (bias corrected) 17.32 95% Percentile of Chisquare (2k)
31.62
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 11.48 Mean
26.65
Maximum 63.1 Median
18.84
SD 16.45 CV
0.617
k hat (MLE) 3.682 k star (bias corrected MLE)
3.23
Theta hat (MLE) 7.238 Theta star (bias corrected MLE)
8.249
nu hat (MLE) 169.4 nu star (bias corrected)
148.6
MLE Mean (bias corrected) 26.65 MLE Sd (bias corrected)
14.83
95% Percentile of Chisquare (2k) 13.28 90% Percentile
46.53
95% Percentile 54.76 99% Percentile
72.53
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 70.25 71.45 95% Approx. Gamma UPL
55.82
56.01
95% Gamma USL 78.58 80.56
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) 1.591 nu hat (KM)
73.2
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 67.17 67.83 95% Approx. Gamma UPL
51.64
51.34
95% Gamma USL 76.26 77.73
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic 0.755 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.762 Data Not Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.297 Lilliefors GOF Test
5% Lilliefors Critical Value 0.396 Detected Data appear Lognormal at 5% Significance Level
Detected Data appear Approximate Lognormal at 5% Significance Level
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
Mean in Original Scale
30.69 Mean in Log Scale
3.348
SD in Original Scale
14.13 SD in Log Scale
0.371
95% UTL95% Coverage
67.47 95% BCA UTL95% Coverage
63.1
95% Bootstrap (%) UTL95% Coverage
63.1 95% UPL (t)
54.52
90% Percentile (z)
45.75 95% Percentile (z)
52.36
99% Percentile (z)
67.43 95% USL
75.3
Statistics using KM estimates on Logged Data and Assuming
Lognormal Distribution
KM Mean of Logged Data
2.898 95% KM UTL (Lognormal)95% Coverage
70.37
KM SD of Logged Data
0.582 95% KM UPL (Lognormal)
50.37
95% KM Percentile Lognormal (z)
47.27 95% KM USL (Lognormal)
83.6
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale
17.73 Mean in Log Scale
2.428
SD in Original Scale
20.66 SD in Log Scale
0.848
95% UTL95% Coverage
81.69 95% UPL (t)
50.2
90% Percentile (z)
33.63 95% Percentile (z)
45.76
99% Percentile (z)
81.57 95% USL
105
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 23 95% UTL with95% Coverage 63.1
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% UPL 62.9 95% USL 63.1
95% KM Chebyshev UPL 101.7
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
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
Minimum Detect
Maximum Detect
Variance Detected
Mean Detected
Mean of Detected Logged Data
23 Number of Missing Observations
0
17
1 Number of Non -Detects
22
1 Number of Distinct Non -Detects
16
0.44 Minimum Non -Detect
0.62
0.44 Maximum Non -Detect
0.91
N/A Percent Non -Detects
95.65%
0.44 SD Detected
N/A
-0.821 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 Cadmium was not processed!
Calcium
General Statistics
Total Number of Observations
23 Number of Missing Observations
0
Number of Distinct Observations
23
Number of Detects
20 Number of Non -Detects
3
Number of Distinct Detects
20 Number of Distinct Non -Detects
3
Minimum Detect
77.4 Minimum Non -Detect
140
Maximum Detect
39100 Maximum Non -Detect
151
Variance Detected
90941078 Percent Non -Detects
13.04%
Mean Detected
6281 SD Detected
9536
Mean of Detected Logged Data
7.697 SD of Detected Logged Data
1.711
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.328 d2max (for USL)
2.624
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.648 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.905 Data Not Normal at 5% Significance Level
Lilliefors Test Statistic 0.276 Lilliefors GOF Test
5% Lilliefors Critical Value 0.198 Data Not Normal at 5% Significance Level
Data Not Normal at 5% Significance Level
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 5474 SD 8914
95% UTL95% Coverage 26227 95% KM UPL (t) 21110
90% KM Percentile (z) 16898 95% KM Percentile (z) 20137
99% KM Percentile (z) 26212 95% KM USL 28865
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 5471 SD 9116
95% UTL95% Coverage 26694 95% UPL (t) 21462
90% Percentile (z) 17154 95% Percentile (z) 20466
99% Percentile (z) 26679 95% USL 29392
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 0.267 Anderson -Darling GOF Test
5% A-D Critical Value 0.794 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.109 Kolmogrov-Smirnoff GOF
5% K-S Critical Value 0.204 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 (MLE) 0.591 k star (bias corrected MLE)
0.535
Theta hat (MLE) 10634 Theta star (bias corrected MLE)
11731
nu hat (MLE) 23.63 nu star (bias corrected)
21.42
MLE Mean (bias corrected) 6281
MLE Sd (bias corrected) 8584 95% Percentile of Chisquare (2k)
4.014
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
5462
Maximum 39100 Median
2010
SD 9122 CV
1.67
k hat (MLE) 0.278 k star (bias corrected MLE)
0.271
Theta hat (MLE) 19659 Theta star (bias corrected MLE)
20186
nu hat (MLE) 12.78 nu star (bias corrected)
12.45
MLE Mean (bias corrected) 5462 MLE Sd (bias corrected)
10500
95% Percentile of Chisquare (2k) 2.557 90% Percentile
16287
95% Percentile 25810 99% Percentile
50890
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 38255 51592 95% Approx. Gamma UPL
23412
28201
95% Gamma USL 47903 68201
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) 0.377 nu hat (KM)
17.34
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 33002 38231 95% Approx. Gamma UPL
20856
22361
95% Gamma USL 40786 49126
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic 0.962 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.905 Detected Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.119 Lilliefors GOF Test
5% Lilliefors Critical Value 0.198 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 5477 Mean in Log Scale 7.314
SD in Original Scale 9113 SD in Log Scale 1.884
95% UTL95% Coverage 120576 95% BCA UTL95% Coverage 39100
95% Bootstrap (%) UTL95% Coverage 39100 95% UPL (t) 40895
90% Percentile (z) 16790 95% Percentile (z) 33289
99% Percentile (z) 120201 95% USL 210562
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
KM Mean of Logged Data 7.282 95% KM UTL (Lognormal)95% Coverage 118117
KM SD of Logged Data 1.889 95% KM UPL (Lognormal) 39952
95% KM Percentile Lognormal (z) 32505 95% KM USL (Lognormal) 206560
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale
5471 Mean in Log Scale
7.252
SD in Original Scale
9116 SD in Log Scale
1.977
95% UTL95% Coverage
140726 95% UPL (t)
45245
90% Percentile (z)
17776 95% Percentile (z)
36457
99% Percentile (z)
140267 95% USL
252618
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 23 95% UTL with95% Coverage 39100
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% UPL 36060 95% USL 39100
95% KM Chebyshev UPL 45167
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
23 Number of Missing Observations
0
21
1 Number of Non -Detects
22
1 Number of Distinct Non -Detects
20
168 Minimum Non -Detect
258
168 Maximum Non -Detect
372
N/A Percent Non -Detects
95.65%
168 SD Detected
N/A
5.124 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 Chloride was not processed!
Chromium
General Statistics
Total Number of Observations
23 Number of Distinct Observations
23
Minimum
6.4 First Quartile
18.25
Second Largest
111 Median
27.1
Maximum
187 Third Quartile
35.4
Mean
36.17 SD
39.02
Coefficient of Variation
1.079 Skewness
3.143
Mean of logged Data
3.285 SD of logged Data
0.724
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.328 d2max (for USL)
2.624
Normal GOF Test
Shapiro Wilk Test Statistic 0.594 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.914 Data Not Normal at 5% Significance Level
Lilliefors Test Statistic 0.287 Lilliefors GOF Test
5% Lilliefors Critical Value 0.185 Data Not Normal at 5% Significance Level
Data Not Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage 127 90% Percentile (z) 86.18
95% UPL (t) 104.6 95% Percentile (z) 100.4
95% USL 138.6 99% Percentile (z) 126.9
Gamma GOF Test
A-D Test Statistic
1.213 Anderson -Darling Gamma GOF Test
5% A-D Critical Value
0.757 Data Not Gamma Distributed at 5% Significance Level
K-S Test Statistic
0.184 Kolmogrov-Smirnoff Gamma GOF Test
5% K-S Critical Value
0.184 Data Not Gamma Distributed at 5% Significance Level
Data Not Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MILE) 1.795 k star (bias corrected MILE) 1.59
Theta hat (MILE) 20.15 Theta star (bias corrected MILE) 22.75
nu hat (MILE) 82.56 nu star (bias corrected) 73.13
MILE Mean (bias corrected) 36.17 MILE Sd (bias corrected) 28.69
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL 93.4 90% Percentile 74.32
95% Hawkins Wixley (HW) Approx. Gamma UPL 93.05 95% Percentile 92.43
95% WH Approx. Gamma UTL with 95% Coverage 126.1 99% Percentile 133.2
95% HW Approx. Gamma UTL with 95% Coverage 128.4
95% WH USL 145.6 95% HW USL 150.1
Lognormal GOF Test
Shapiro Wilk Test Statistic 0.942 Shapiro Wilk Lognormal GOF Test
5% Shapiro Wilk Critical Value 0.914 Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.121 Lilliefors Lognormal GOF Test
5% Lilliefors Critical Value 0.185 Data appear Lognormal at 5% Significance Level
Data appear Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage 144 90% Percentile (z) 67.51
95% UPL (t) 95.04 95% Percentile (z) 87.81
95% USL 178.4 99% Percentile (z) 143.8
Nonparametric Distribution Free Background Statistics
Data appear Lognormal at 5% Significance Level
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r 23 95% UTL with 95% Coverage 187
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% Percentile Bootstrap UTL with 95% Coverage 187 95% BCA Bootstrap UTL with 95% Coverage 187
95% UPL 171.8 90% Percentile 48.2
90% Chebyshev UPL 155.8 95% Percentile 104.8
95% Chebyshev UPL 209.9 99% Percentile 170.3
95% USL 187
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
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
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 (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
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
23 Number of Distinct Observations
22
7.5 First Quartile
12.25
27.2 Median
16.7
42.6 Third Quartile
22.15
18.05 SD
7.712
0.427 Skewness
1.424
2.814 SD of logged Data
0.404
2.328 d2max (for USL) 2.624
0.897 Shapiro Wilk GOF Test
0.914 Data Not Normal at 5% Significance Level
0.13 Lilliefors GOF Test
0.185 Data appear Normal at 5% Significance Level
36.01 90% Percentile (z) 27.94
31.58 95% Percentile (z) 30.74
38.29 99% Percentile (z) 35.99
0.236 Anderson -Darling Gamma GOF Test
0.746 Detected data appear Gamma Distributed at 5% Significance Level
0.104 Kolmogrov-Smirnoff Gamma GOF Test
0.182 Detected data appear Gamma Distributed at 5% Significance Level
6.49 k star (bias corrected MILE) 5.672
2.782 Theta star (bias corrected MILE) 3.183
298.5 nu star (bias corrected) 260.9
18.05 MILE Sd (bias corrected) 7.58
32.55 90% Percentile 28.19
32.81 95% Percentile 32.05
39.1 99% Percentile 40.17
39.81
42.8 95% HW USL 43.83
0.985 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.0919 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
42.69 90% Percentile (z) 27.98
33.86 95% Percentile (z) 32.4
48.11 99% Percentile (z) 42.67
23 95% UTL with 95% Coverage 42.6
1.211 Confidence Coefficient (CC) achieved by UTL 0.693
42.6 95% BCA Bootstrap UTL with 95% Coverage 42.6
39.52 90% Percentile 25.74
41.69 95% Percentile 27.1
52.39 99% Percentile 39.21
42.6
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.
Copper
General Statistics
Total Number of Observations
23 Number of Distinct Observations
23
Minimum
2.8 First Quartile
24.25
Second Largest
70.4 Median
57
Maximum
79.5 Third Quartile
66.8
Mean
46.19 SD
23.86
Coefficient of Variation
0.517 Skewness
-0.421
Mean of logged Data
3.598 SD of logged Data
0.852
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.328 d2max (for USL)
2.624
Normal GOF Test
Shapiro Wilk Test Statistic 0.9 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.914 Data Not Normal at 5% Significance Level
Lilliefors Test Statistic 0.197 Lilliefors GOF Test
5% Lilliefors Critical Value 0.185 Data Not Normal at 5% Significance Level
Data Not Normal at 5% Significance Level
Background Statistics Assuming Normal Distribution
95% UTL with 95% Coverage 101.7 90% Percentile (z) 76.76
95% UPL (t) 88.04 95% Percentile (z) 85.43
95% USL 108.8 99% Percentile (z) 101.7
Gamma GOF Test
A-D Test Statistic
1.287 Anderson -Darling Gamma GOF Test
5% A-D Critical Value
0.753 Data Not Gamma Distributed at 5% Significance Level
K-S Test Statistic
0.23 Kolmogrov-Smirnoff Gamma GOF Test
5% K-S Critical Value
0.184 Data Not Gamma Distributed at 5% Significance Level
Data Not Gamma Distributed at 5% Significance Level
Gamma Statistics
k hat (MILE) 2.286 k star (bias corrected MILE) 2.017
Theta hat (MILE) 20.2 Theta star (bias corrected MILE) 22.9
nu hat (MILE) 105.2 nu star (bias corrected) 92.78
MILE Mean (bias corrected) 46.19 MILE Sd (bias corrected) 32.52
Background Statistics Assuming Gamma Distribution
95% Wilson Hilferty (WH) Approx. Gamma UPL 112.8 90% Percentile 89.65
95% Hawkins Wixley (HW) Approx. Gamma UPL 120.1 95% Percentile 109.3
95% WH Approx. Gamma UTL with 95% Coverage 148 99% Percentile 152.7
95% HW Approx. Gamma UTL with 95% Coverage 163.1
95% WH USL 168.7 95% HW USL 189.3
Lognormal GOF Test
Shapiro Wilk Test Statistic 0.796 Shapiro Wilk Lognormal GOF Test
5% Shapiro Wilk Critical Value 0.914 Data Not Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.221 Lilliefors Lognormal GOF Test
5% Lilliefors Critical Value 0.185 Data Not Lognormal at 5% Significance Level
Data Not Lognormal at 5% Significance Level
Background Statistics assuming Lognormal Distribution
95% UTL with 95% Coverage 265.6 90% Percentile (z) 108.9
95% UPL (t) 162.9 95% Percentile (z) 148.4
95% USL 341.8 99% Percentile (z) 265.2
Nonparametric Distribution Free Background Statistics
Data do not follow a Discernible Distribution (0.05)
Nonparametric Upper Limits for Background Threshold Values
Order of Statistic, r 23 95% UTL with 95% Coverage 79.5
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% Percentile Bootstrap UTL with 95% Coverage 79.5 95% BCA Bootstrap UTL with 95% Coverage 79.5
95% UPL 77.68 90% Percentile 70.16
90% Chebyshev UPL 119.3 95% Percentile 70.39
95% Chebyshev UPL 152.4 99% Percentile 77.5
95% USL 79.5
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)
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
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
23 Number of Distinct Observations
23
12200 First Quartile
28600
63300 Median
42700
95900 Third Quartile
55350
43309 SD
19433
0.449 Skewness
0.601
10.57 SD of logged Data
0.502
2.328 d2max (for USL) 2.624
0.947 Shapiro Wilk GOF Test
0.914 Data appear Normal at 5% Significance Level
0.12 Lilliefors GOF Test
0.185 Data appear Normal at 5% Significance Level
88548 90% Percentile (z) 68213
77395 95% Percentile (z) 75273
94299 99% Percentile (z) 88516
0.432 Anderson -Darling Gamma GOF Test
0.747 Detected data appear Gamma Distributed at 5% Significance Level
0.145 Kolmogrov-Smirnoff Gamma GOF Test
0.182 Detected data appear Gamma Distributed at 5% Significance Level
4.765 k star (bias corrected MLE) 4.172
9089 Theta star (bias corrected MLE) 10380
219.2 nu star (bias corrected) 191.9
43309 MLE Sd (bias corrected) 21202
84729
90% Percentile
71723
86440
95% Percentile
83023
104263
99% Percentile
107108
108028
115414
95% HW USL
120622
0.943 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.158 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
124910 90% Percentile (z) 73895
93662 95% Percentile (z) 88668
144900 99% Percentile (z) 124807
23 95% UTL with 95% Coverage 95900
1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95900 95% BCA Bootstrap UTL with 95% Coverage 95900
89380 90% Percentile 62060
102861 95% Percentile 63220
129836 99% Percentile 88728
95900
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
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 (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
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
23 Number of Distinct Observations
20
8.2 First Quartile
13.4
25.9 Median
17.5
31.3 Third Quartile
20.2
17.3 SD
5.401
0.312 Skewness
0.681
2.804 SD of logged Data
0.315
2.328 d2max (for USL) 2.624
0.967 Shapiro Wilk GOF Test
0.914 Data appear Normal at 5% Significance Level
0.123 Lilliefors GOF Test
0.185 Data appear Normal at 5% Significance Level
29.87 90% Percentile (z) 24.22
26.77 95% Percentile (z) 26.18
31.47 99% Percentile (z) 29.87
0.146 Anderson -Darling Gamma GOF Test
0.744 Detected data appear Gamma Distributed at 5% Significance Level
0.0849 Kolmogrov-Smirnoff Gamma GOF Test
0.182 Detected data appear Gamma Distributed at 5% Significance Level
10.89 k star (bias corrected MILE) 9.501
1.588 Theta star (bias corrected MILE) 1.821
501.1 nu star (bias corrected) 437.1
17.3 MILE Sd (bias corrected) 5.612
27.77 90% Percentile 24.77
27.97 95% Percentile 27.45
32.21 99% Percentile 32.95
32.66
34.67 95% HW USL 35.3
0.99 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.0949 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
34.39 90% Percentile (z) 24.73
28.7 95% Percentile (z) 27.73
37.75 99% Percentile (z) 34.37
23 95% UTL with 95% Coverage 31.3
1.211 Confidence Coefficient (CC) achieved by UTL 0.693
31.3 95% BCA Bootstrap UTL with 95% Coverage 31.3
30.22 90% Percentile 22.98
33.85 95% Percentile 25.61
41.35 99% Percentile 30.11
31.3
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.
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 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
Detected data appear Gamma Distributed 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
Nonparametric Distribution Free Background Statistics
Data appear Gamma Distributed 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
23 Number of Distinct Observations
22
924 First Quartile
3555
17900 Median
5090
19400 Third Quartile
10750
7077 SD
5289
0.747 Skewness
0.976
8.562 SD of logged Data
0.853
2.328 d2max (for USL) 2.624
0.89 Shapiro Wilk GOF Test
0.914 Data Not Normal at 5% Significance Level
0.225 Lilliefors GOF Test
0.185 Data Not Normal at 5% Significance Level
19389 90% Percentile (z) 13855
16354 95% Percentile (z) 15776
20954 99% Percentile (z) 19380
0.285 Anderson -Darling Gamma GOF Test
0.757 Detected data appear Gamma Distributed at 5% Significance Level
0.128 Kolmogrov-Smirnoff Gamma GOF Test
0.184 Detected data appear Gamma Distributed at 5% Significance Level
1.801 k star (bias corrected MILE) 1.595
3929 Theta star (bias corrected MILE) 4436
82.86 nu star (bias corrected) 73.38
7077 MILE Sd (bias corrected) 5603
18685
90% Percentile
14527
19419
95% Percentile
18060
25217
99% Percentile
26007
27059
29111
95% HW USL
31781
0.955 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.121 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
38121 90% Percentile (z) 15608
23360 95% Percentile (z) 21281
49071 99% Percentile (z) 38067
23 95% UTL with 95% Coverage
19400
1.211 Confidence Coefficient (CC) achieved by UTL
0.693
19400 95% BCA Bootstrap UTL with 95% Coverage
19400
19100 90% Percentile
13660
23285 95% Percentile
17500
30626 99% Percentile
19070
19400
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
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 (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
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
23 Number of Distinct Observations
22
82.7 First Quartile
274.5
2840 Median
395
5170 Third Quartile
830
789.2 SD
1116
1.413 Skewness
3.256
6.169 SD of logged Data
0.928
2.328 d2max (for USL) 2.624
0.559 Shapiro Wilk GOF Test
0.914 Data Not Normal at 5% Significance Level
0.286 Lilliefors GOF Test
0.185 Data Not Normal at 5% Significance Level
3386 90% Percentile (z) 2219
2746 95% Percentile (z) 2624
3716 99% Percentile (z) 3384
1.336 Anderson -Darling Gamma GOF Test
0.767 Data Not Gamma Distributed at 5% Significance Level
0.209 Kolmogrov-Smirnoff Gamma GOF Test
0.186 Data Not Gamma Distributed at 5% Significance Level
1.135 k star (bias corrected MILE) 1.016
695.6 Theta star (bias corrected MILE) 777.1
52.19 nu star (bias corrected) 46.71
789.2 MILE Sd (bias corrected) 783.1
2351 90% Percentile 1810
2340 95% Percentile 2351
3348 99% Percentile 3606
3440
3958 95% HW USL 4140
0.946 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.151 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
4149 90% Percentile (z) 1571
2435 95% Percentile (z) 2201
5461 99% Percentile (z) 4143
23 95% UTL with 95% Coverage
5170
1.211 Confidence Coefficient (CC) achieved by UTL
0.693
5170 95% BCA Bootstrap UTL with 95% Coverage
5170
4704 90% Percentile
1144
4208 95% Percentile
2671
5756 99% Percentile
4657
5170
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
23 Number of Missing Observations
0
Number of Distinct Observations
19
Number of Detects
17 Number of Non -Detects
6
Number of Distinct Detects
15 Number of Distinct Non -Detects
5
Minimum Detect
0.0047 Minimum Non -Detect
0.0088
Maximum Detect
0.04 Maximum Non -Detect
0.011
Variance Detected
1.33E-04 Percent Non -Detects
26.09%
Mean Detected
0.0139 SD Detected
0.0115
Mean of Detected Logged Data
-4.525 SD of Detected Logged Data
0.686
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.328 d2max (for USL)
2.624
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.729 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.892 Data Not Normal at 5% Significance Level
Lilliefors Test Statistic 0.331 Lilliefors GOF Test
5% Lilliefors Critical Value 0.215 Data Not Normal at 5% Significance Level
Data Not Normal at 5% Significance Level
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 0.0121 SD 0.0102
95% UTL95% Coverage 0.0357 95% KM UPL (t) 0.0299
90% KM Percentile (z) 0.0251 95% KM Percentile (z) 0.0288
99% KM Percentile (z) 0.0357 95% KM USL 0.0387
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 0.0115 SD 0.0107
95% UTL95% Coverage 0.0364 95% UPL (t) 0.0303
90% Percentile (z) 0.0252 95% Percentile (z) 0.0291
99% Percentile (z) 0.0364 95% USL 0.0396
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 1.273 Anderson -Darling GOF Test
5% A-D Critical Value 0.749 Data Not Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.257 Kolmogrov-Smirnoff GOF
5% K-S Critical Value 0.212 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)
2.138 k star (bias corrected MLE)
1.8
Theta hat (MLE)
0.00652 Theta star (bias corrected MLE)
0.00774
nu hat (MLE)
72.69 nu star (bias corrected)
61.2
MLE Mean (bias corrected)
0.0139
MILE Sd (bias corrected)
0.0104 95% Percentile of Chisquare (2k)
8.831
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
0.0047 Mean
0.0129
Maximum
0.04 Median
0.01
SD
0.01 CV
0.775
k hat (MLE)
2.705 k star (bias corrected MLE)
2.381
Theta hat (MILE)
0.00477 Theta star (bias corrected MILE)
0.00542
nu hat (MLE)
124.4 nu star (bias corrected)
109.5
MLE Mean (bias corrected)
0.0129 MLE Sd (bias corrected)
0.00836
95% Percentile of Chisquare (2k)
10.7 90% Percentile
0.0241
95% Percentile
0.029 99% Percentile
0.0397
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 0.0382
0.0388 95% Approx. Gamma UPL
0.0295 0.0295
95% Gamma USL 0.0433
0.0444
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)
1.411 nu hat (KM)
64.92
WH
HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 0.0375
0.038 95% Approx. Gamma UPL
0.0286 0.0285
95% Gamma USL 0.0428
0.0438
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic 0.876 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.892 Data Not Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.205 Lilliefors GOF Test
5% Lilliefors Critical Value 0.215 Detected Data appear Lognormal at 5% Significance Level
Detected Data appear Approximate Lognormal at 5% Significance Level
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
Mean in Original Scale 0.0121 Mean in Log Scale -4.644
SD in Original Scale 0.0103 SD in Log Scale 0.624
95% UTL95% Coverage 0.0411 95% BCA UTL95% Coverage 0.04
95% Bootstrap (%) UTL95% Coverage 0.04 95% UPL (t) 0.0287
90% Percentile (z) 0.0214 95% Percentile (z) 0.0268
99% Percentile (z) 0.041 95% USL 0.0494
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
KM Mean of Logged Data -4.654 95% KM UTL (Lognormal)95% Coverage 0.0405
KM SD of Logged Data 0.622 95% KM UPL (Lognormal) 0.0284
95% KM Percentile Lognormal (z) 0.0265 95% KM USL (Lognormal) 0.0487
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale
0.0115 Mean in Log Scale
-4.743
SD in Original Scale
0.0107 SD in Log Scale
0.696
95% UTL95% Coverage
0.044 95% UPL (t)
0.0295
90% Percentile (z)
0.0213 95% Percentile (z)
0.0274
99% Percentile (z)
0.044 95% USL
0.0541
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 23 95% UTL with95% Coverage 0.04
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% UPL 0.0396 95% USL 0.04
95% KM Chebyshev UPL 0.0573
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
23 Number of Missing Observations
0
Number of Distinct Observations
13
Number of Detects
9 Number of Non -Detects
14
Number of Distinct Detects
8 Number of Distinct Non -Detects
6
Minimum Detect
1.6 Minimum Non -Detect
2.8
Maximum Detect
22.6 Maximum Non -Detect
3.6
Variance Detected
44.39 Percent Non -Detects
60.87%
Mean Detected
5.722 SD Detected
6.663
Mean of Detected Logged Data
1.34 SD of Detected Logged Data
0.88
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.328 d2max (for USL)
2.624
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.657 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.829 Data Not Normal at 5% Significance Level
Lilliefors Test Statistic 0.289 Lilliefors GOF Test
5% Lilliefors Critical Value 0.295 Detected Data appear Normal at 5% Significance Level
Detected Data appear Approximate Normal at 5% Significance Level
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 3.357 SD 4.369
95% UTL95% Coverage 13.53 95% KM UPL (t) 11.02
90% KM Percentile (z) 8.956 95% KM Percentile (z) 10.54
99% KM Percentile (z) 13.52 95% KM USL 14.82
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 3.161 SD 4.534
95% UTL95% Coverage 13.72 95% UPL (t) 11.11
90% Percentile (z) 8.972 95% Percentile (z) 10.62
99% Percentile (z) 13.71 95% USL 15.06
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 0.626 Anderson -Darling GOF Test
5% A-D Critical Value 0.737 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.192 Kolmogrov-Smirnoff GOF
5% K-S Critical Value 0.285 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 (MLE) 1.38 k star (bias corrected MLE)
0.994
Theta hat (MLE) 4.146 Theta star (bias corrected MLE)
5.756
nu hat (MLE) 24.84 nu star (bias corrected)
17.9
MLE Mean (bias corrected) 5.722
MLE Sd (bias corrected) 5.739 95% Percentile of Chisquare (2k)
5.969
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
2.845
Maximum 22.6 Median
1.6
SD 4.733 CV
1.664
k hat (MLE) 0.451 k star (bias corrected MLE)
0.421
Theta hat (MLE) 6.31 Theta star (bias corrected MLE)
6.757
nu hat (MLE) 20.74 nu star (bias corrected)
19.36
MLE Mean (bias corrected) 2.845 MLE Sd (bias corrected)
4.384
95% Percentile of Chisquare (2k) 3.437 90% Percentile
7.961
95% Percentile 11.61 99% Percentile
20.74
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 18.06 22.63 95% Approx. Gamma UPL
11.42
13.08
95% Gamma USL 22.31 29.23
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) 0.591 nu hat (KM)
27.16
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 11.46 11.27 95% Approx. Gamma UPL
8.479
8.211
95% Gamma USL 13.24 13.14
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic 0.894 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.829 Detected Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.179 Lilliefors GOF Test
5% Lilliefors Critical Value 0.295 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
3.423 Mean in Log Scale
0.895
SD in Original Scale
4.467 SD in Log Scale
0.7
95% UTL95% Coverage
12.49 95% BCA UTL95% Coverage
21.08
95% Bootstrap (%) UTL95% Coverage
22.6 95% UPL (t)
8.355
90% Percentile (z)
6.002 95% Percentile (z)
7.74
99% Percentile (z)
12.47 95% USL
15.36
Statistics using KM estimates on Logged Data and Assuming
Lognormal Distribution
KM Mean of Logged Data
0.888 95% KM UTL (Lognormal)95% Coverage
10.86
KM SD of Logged Data
0.643 95% KM UPL (Lognormal)
7.507
95% KM Percentile Lognormal (z)
6.998 95% KM USL (Lognormal)
13.13
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale 3.161 Mean in Log Scale 0.776
SD in Original Scale 4.534 SD in Log Scale 0.707
95% UTL95% Coverage 11.25 95% UPL (t) 7.501
90% Percentile (z) 5.371 95% Percentile (z) 6.943
99% Percentile (z) 11.24 95% USL 13.87
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 23 95% UTL with95% Coverage 22.6
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% UPL 19.56 95% USL 22.6
95% KM Chebyshev UPL 22.81
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.
Nickel
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 (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
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
23 Number of Distinct Observations
23
6.7 First Quartile
18.1
48 Median
27.5
52.2 Third Quartile
39.3
28.22 SD
13.5
0.478 Skewness
0.111
3.201 SD of logged Data
0.583
2.328 d2max (for USL) 2.624
0.963 Shapiro Wilk GOF Test
0.914 Data appear Normal at 5% Significance Level
0.091 Lilliefors GOF Test
0.185 Data appear Normal at 5% Significance Level
59.66 90% Percentile (z) 45.53
51.91 95% Percentile (z) 50.43
63.65 99% Percentile (z) 59.63
0.322 Anderson -Darling Gamma GOF Test
0.749 Detected data appear Gamma Distributed at 5% Significance Level
0.0997 Kolmogrov-Smirnoff Gamma GOF Test
0.182 Detected data appear Gamma Distributed at 5% Significance Level
3.753 k star (bias corrected MILE) 3.292
7.52 Theta star (bias corrected MILE) 8.572
172.6 nu star (bias corrected) 151.4
28.22 MILE Sd (bias corrected) 15.55
59.12 90% Percentile 49.08
60.82 95% Percentile 57.69
74.23 99% Percentile 76.25
77.89
82.95 95% HW USL 87.98
0.924 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.108 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
95.44 90% Percentile (z) 51.85
68.3 95% Percentile (z) 64.08
113.4 99% Percentile (z) 95.35
23 95% UTL with 95% Coverage 52.2
1.211 Confidence Coefficient (CC) achieved by UTL 0.693
52.2 95% BCA Bootstrap UTL with 95% Coverage 52.2
51.36 90% Percentile 45.7
69.6 95% Percentile 47.78
88.35 99% Percentile 51.28
52.2
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.
Nitrate
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
23 Number of Missing Observations
21
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 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 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
23 Number of Distinct Observations
4.5 First Quartile
8.6 Median
8.6 Third Quartile
6.343 SD
0.203 Skewness
1.828 SD of logged Data
2.328 d2max (for USL)
0.905 Shapiro Wilk GOF Test
0.914 Data Not Normal at 5% Significance Level
0.197 Lilliefors GOF Test
0.185 Data Not Normal at 5% Significance Level
9.338 90% Percentile (z)
8.6 95% Percentile (z)
9.718 99% Percentile (z)
0.778 Anderson -Darling Gamma GOF Test
0.742 Data Not Gamma Distributed at 5% Significance Level
0.191 Kolmogrov-Smirnoff Gamma GOF Test
0.181 Data Not Gamma Distributed at 5% Significance Level
26.47 k star (bias corrected MLE)
0.24 Theta star (bias corrected MLE)
1218 nu star (bias corrected)
6.343 MLE Sd (bias corrected)
8.723 90% Percentile
8.742 95% Percentile
9.649 99% Percentile
9.698
10.15 95% HW USL
0.927 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.182 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
9.863 90% Percentile (z)
8.805 95% Percentile (z)
10.46 99% Percentile (z)
23 95% UTL with 95% Coverage
1.211 Confidence Coefficient (CC) achieved by UTL
8.6 95% BCA Bootstrap UTL with 95% Coverage
8.6 90% Percentile
10.29 95% Percentile
12.07 99% Percentile
8.6
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.
N/A
N/A
0
23
21
25.8
37.2
100%
18
5.35
6
7.5
1.286
0.541
0.198
2.624
7.992
8.459
9.336
23.05
0.275
1060
1.321
8.085
8.662
9.815
10.22
8.019
8.617
9.86
8.6
0.693
8.6
8.3
8.58
8.6
Potassium
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
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 (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 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 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
23 Number of Distinct Observations
21
168 First Quartile
454
2200 Median
1340
2730 Third Quartile
1805
1252 SD
774.7
0.619 Skewness
-0.0342
6.844 SD of logged Data
0.88
2.328 d2max (for USL) 2.624
0.915 Shapiro Wilk GOF Test
0.914 Data appear Normal at 5% Significance Level
0.197 Lilliefors GOF Test
0.185 Data Not Normal at 5% Significance Level
3056 90% Percentile (z) 2245
2611 95% Percentile (z) 2526
3285 99% Percentile (z) 3054
1.186 Anderson -Darling Gamma GOF Test
0.756 Data Not Gamma Distributed at 5% Significance Level
0.23 Kolmogrov-Smirnoff Gamma GOF Test
0.184 Data Not Gamma Distributed at 5% Significance Level
1.88 k star (bias corrected MILE) 1.663
666.2 Theta star (bias corrected MILE) 752.8
86.46 nu star (bias corrected) 76.52
1252 MILE Sd (bias corrected) 970.9
3282 90% Percentile 2545
3464 95% Percentile 3152
4408 99% Percentile 4514
4817
5077 95% HW USL 5652
0.859 Shapiro Wilk Lognormal GOF Test
0.914 Data Not Lognormal at 5% Significance Level
0.229 Lilliefors Lognormal GOF Test
0.185 Data Not Lognormal at 5% Significance Level
7280 90% Percentile (z) 2898
4393 95% Percentile (z) 3990
9446 99% Percentile (z) 7269
23 95% UTL with 95% Coverage 2730
1.211 Confidence Coefficient (CC) achieved by UTL 0.693
2730 95% BCA Bootstrap UTL with 95% Coverage 2730
2624 90% Percentile 2074
3626 95% Percentile 2190
4701 99% Percentile 2613
2730
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
23 Number of Missing Observations
0
Number of Distinct Observations
18
Number of Detects
2 Number of Non -Detects
21
Number of Distinct Detects
2 Number of Distinct Non -Detects
16
Minimum Detect
3.9 Minimum Non -Detect
4
Maximum Detect
7.8 Maximum Non -Detect
7.6
Variance Detected
7.605 Percent Non -Detects
91.30%
Mean Detected
5.85 SD Detected
2.758
Mean of Detected Logged Data
1.708 SD of Detected Logged Data
0.49
Warning: Data set has only 2 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) 2.328 d2max (for USL) 2.624
Normal GOF Test on Detects Only
Not Enough Data to Perform GOF Test
Kaplan Meier (KM) Background Statistics Assuming Normal Distribution
Mean 4.07 SD 0.795
95% UTL95% Coverage 5.921 95% KM UPL (t) 5.465
90% KM Percentile (z) 5.089 95% KM Percentile (z) 5.378
99% KM Percentile (z) 5.92 95% KM USL 6.156
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 3.126 SD 1.115
95% UTL95% Coverage 5.721 95% UPL (t) 5.081
90% Percentile (z) 4.555 95% Percentile (z) 4.96
99% Percentile (z) 5.719 95% USL 6.051
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) 8.653 k star (bias corrected MLE) N/A
Theta hat (MLE) 0.676 Theta star (bias corrected MLE) N/A
nu hat (MLE) 34.61 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
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) 26.18 nu hat (KM) 1204
WH HW WH HW
95% Approx. Gamma UTL with 95% Coverage 5.698 5.67 95% Approx. Gamma UPL 5.252 5.226
95% Gamma USL 5.937 5.909
Lognormal GOF Test on Detected Observations Only
Not Enough Data to Perform GOF Test
Background Lognormal ROS Statistics Assuming Lognormal Distribution Using Imputed Non -Detects
Mean in Original Scale 4.084 Mean in Log Scale 1.39
SD in Original Scale 0.894 SD in Log Scale 0.174
95% UTL95% Coverage 6.023 95% BCA UTL95% Coverage 7.501
95% Bootstrap (%) UTL95% Coverage 7.8 95% UPL (t) 5.45
90% Percentile (z) 5.02 95% Percentile (z) 5.347
99% Percentile (z) 6.021 95% USL 6.341
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale
3.126 Mean in Log Scale
1.101
SD in Original Scale
1.115 SD in Log Scale
0.261
95% UTL95% Coverage
5.513 95% UPL (t)
4.747
90% Percentile (z)
4.197 95% Percentile (z)
4.614
99% Percentile (z)
5.51 95% USL
5.954
DL/2 is not a Recommended Method. DL/2 provided
for comparisons and historical reasons.
Nonparametric Distribution Free Background Statistics
Data do not follow a Discernible Distribution (0.05)
Nonparametric Upper Limits for BTVs(no distinction made between detects and nondetects)
Order of Statistic, r 23 95% UTL with95% Coverage 7.8
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% UPL 7.76 95% USL 7.8
95% KM Chebyshev UPL 7.611
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.
Sodium
General Statistics
Total Number of Observations
23 Number of Missing Observations
0
Number of Distinct Observations
20
Number of Detects
4 Number of Non -Detects
19
Number of Distinct Detects
4 Number of Distinct Non -Detects
16
Minimum Detect
160 Minimum Non -Detect
269
Maximum Detect
205 Maximum Non -Detect
378
Variance Detected
371 Percent Non -Detects
82.61%
Mean Detected
180.5 SD Detected
19.26
Mean of Detected Logged Data
5.192 SD of Detected Logged Data
0.106
Critical Values for Background Threshold Values (BTVs)
Tolerance Factor K (For UTL)
2.328 d2max (for USL)
2.624
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.985 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.748 Detected Data appear Normal at 5% Significance Level
Lilliefors Test Statistic 0.171 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 180.5 SD 16.68
95% UTL95% Coverage 219.3 95% KM UPL (t) 209.8
90% KM Percentile (z) 201.9 95% KM Percentile (z) 207.9
99% KM Percentile (z) 219.3 95% KM USL 224.3
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 155.5 SD 18.96
95% UTL95% Coverage 199.6 95% UPL (t) 188.7
90% Percentile (z) 179.8 95% Percentile (z) 186.6
99% Percentile (z) 199.6 95% USL 205.2
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 0.208 Anderson -Darling GOF Test
5% A-D Critical Value 0.657 Detected data appear Gamma Distributed at 5% Significance Level
K-S Test Statistic 0.188 Kolmogrov-Smirnoff GOF
5% K-S Critical Value 0.394 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 (MLE) 118.6 k star (bias corrected MLE)
29.81
Theta hat (MLE) 1.522 Theta star (bias corrected MLE)
6.054
nu hat (MLE) 948.7 nu star (bias corrected)
238.5
MLE Mean (bias corrected) 180.5
MLE Sd (bias corrected) 33.06 95% Percentile of Chisquare (2k)
78.65
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 160 Mean
180.3
Maximum 205 Median
180.2
SD 9.308 CV
0.0516
k hat (MLE) 395.3 k star (bias corrected MLE)
343.7
Theta hat (MLE) 0.456 Theta star (bias corrected MLE)
0.524
nu hat (MLE) 18182 nu star (bias corrected)
15812
MLE Mean (bias corrected) 180.3 MLE Sd (bias corrected)
9.724
95% Percentile of Chisquare (2k) 749.6 90% Percentile
192.8
95% Percentile 196.6 99% Percentile
203.7
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 202.6 202.7 95% Approx. Gamma UPL
196.9
196.9
95% Gamma USL 205.6 205.7
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) 117.1 nu hat (KM)
5386
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 221.3 221.6 95% Approx. Gamma UPL
210.6
210.7
95% Gamma USL 227 227.4
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic 0.992 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.748 Detected Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.161 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 180 Mean in Log Scale 5.192
SD in Original Scale 9.275 SD in Log Scale 0.0512
95% UTL95% Coverage 202.5 95% BCA UTL95% Coverage 191.5
95% Bootstrap (%) UTL95% Coverage 205 95% UPL (t) 196.6
90% Percentile (z) 191.9 95% Percentile (z) 195.5
99% Percentile (z) 202.5 95% USL 205.6
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
KM Mean of Logged Data 5.192 95% KM UTL (Lognormal)95% Coverage 222.5
KM SD of Logged Data 0.0916 95% KM UPL (Lognormal) 211.1
95% KM Percentile Lognormal (z) 209 95% KM USL (Lognormal) 228.6
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale
155.5 Mean in Log Scale
5.04
SD in Original Scale
18.96 SD in Log Scale
0.116
95% UTL95% Coverage
202.2 95% UPL (t)
189.2
90% Percentile (z)
179.1 95% Percentile (z)
186.8
99% Percentile (z)
202.2 95% USL
209.3
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 23 95% UTL with95% Coverage 378
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% UPL 374 95% USL 378
95% KM Chebyshev UPL 254.8
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.
Strontium
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
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 (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
Nonparametric Distribution Free Background Statistics
Data appear Gamma Distributed 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
23 Number of Distinct Observations
23
1.9 First Quartile
7.3
144 Median
21.8
257 Third Quartile
71.5
45.98 SD
58.62
1.275 Skewness
2.421
3.034 SD of logged Data
1.421
2.328 d2max (for USL) 2.624
0.718 Shapiro Wilk GOF Test
0.914 Data Not Normal at 5% Significance Level
0.226 Lilliefors GOF Test
0.185 Data Not Normal at 5% Significance Level
182.4 90% Percentile (z) 121.1
148.8 95% Percentile (z) 142.4
199.8 99% Percentile (z) 182.4
0.414 Anderson -Darling Gamma GOF Test
0.782 Detected data appear Gamma Distributed at 5% Significance Level
0.105 Kolmogrov-Smirnoff Gamma GOF Test
0.189 Detected data appear Gamma Distributed at 5% Significance Level
0.754 k star (bias corrected MILE) 0.684
61.02 Theta star (bias corrected MILE) 67.2
34.66 nu star (bias corrected) 31.47
45.98 MILE Sd (bias corrected) 55.58
162 90% Percentile 116
172.2 95% Percentile 157.8
242.8 99% Percentile 257.7
273.6
293.4 95% HW USL 340.6
0.95 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.135 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
568.5 90% Percentile (z) 128.5
251.4 95% Percentile (z) 215.3
865.7 99% Percentile (z) 567.1
23 95% UTL with 95% Coverage
257
1.211 Confidence Coefficient (CC) achieved by UTL
0.693
257 95% BCA Bootstrap UTL with 95% Coverage
245.7
234.4 90% Percentile
77.46
225.6 95% Percentile
137.4
307 99% Percentile
232.1
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.
Sulfate
General Statistics
Total Number of Observations
23 Number of Missing Observations
0
Number of Distinct Observations
23
Number of Detects
3 Number of Non -Detects
20
Number of Distinct Detects
3 Number of Distinct Non -Detects
20
Minimum Detect
145 Minimum Non -Detect
258
Maximum Detect
243 Maximum Non -Detect
372
Variance Detected
2476 Percent Non -Detects
86.96%
Mean Detected
189 SD Detected
49.76
Mean of Detected Logged Data
5.219 SD of Detected Logged Data
0.26
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) 2.328 d2max (for USL) 2.624
Normal GOF Test on Detects Only
Shapiro Wilk Test Statistic 0.97 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.767 Detected Data appear Normal at 5% Significance Level
Lilliefors Test Statistic 0.246 Lilliefors GOF Test
5% Lilliefors Critical Value 0.512 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 189 SD 40.63
95% UTL95% Coverage 283.6 95% KM UPL (t) 260.3
90% KM Percentile (z) 241.1 95% KM Percentile (z) 255.8
99% KM Percentile (z) 283.5 95% KM USL 295.6
DL/2 Substitution Background Statistics Assuming Normal Distribution
Mean 154 SD 24.45
95% UTL95% Coverage 211 95% UPL (t) 196.9
90% Percentile (z) 185.4 95% Percentile (z) 194.3
99% Percentile (z) 210.9 95% USL 218.2
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) 22.2 k star (bias corrected MLE)
N/A
Theta hat (MLE) 8.512 Theta star (bias corrected MLE)
N/A
nu hat (MLE) 133.2 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 145 Mean
187.6
Maximum 243 Median
187.4
SD 15.01 CV
0.08
k hat (MLE) 168.9 k star (bias corrected MLE)
146.9
Theta hat (MLE) 1.111 Theta star (bias corrected MLE)
1.277
nu hat (MLE) 7770 nu star (bias corrected)
6758
MLE Mean (bias corrected) 187.6 MLE Sd (bias corrected)
15.48
95% Percentile of Chisquare (2k) 334.8 90% Percentile
207.7
95% Percentile 213.8 99% Percentile
225.5
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 223.7 223.9 95% Approx. Gamma UPL
214.3
214.4
95% Gamma USL 228.6 228.9
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) 21.64 nu hat (KM)
995.5
WH HW
WH HW
95% Approx. Gamma UTL with 95% Coverage 294.8 296.6 95% Approx. Gamma UPL
264.9
265.6
95% Gamma USL 311.1 313.6
Lognormal GOF Test on Detected Observations Only
Shapiro Wilk Test Statistic 0.989 Shapiro Wilk GOF Test
5% Shapiro Wilk Critical Value 0.767 Detected Data appear Lognormal at 5% Significance Level
Lilliefors Test Statistic 0.215 Lilliefors GOF Test
5% Lilliefors Critical Value 0.512 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 185.3 Mean in Log Scale 5.219
SD in Original Scale 15.07 SD in Log Scale 0.0783
95% UTL95% Coverage 221.7 95% BCA UTL95% Coverage 184.8
95% Bootstrap (%) UTL95% Coverage 243 95% UPL (t) 212
90% Percentile (z) 204.3 95% Percentile (z) 210.1
99% Percentile (z) 221.7 95% USL 226.9
Statistics using KM estimates on Logged Data and Assuming Lognormal Distribution
KM Mean of Logged Data 5.219 95% KM UTL (Lognormal)95% Coverage 302.6
KM SD of Logged Data 0.212 95% KM UPL (Lognormal) 268
95% KM Percentile Lognormal (z) 261.8 95% KM USL (Lognormal) 322.2
Background DL/2 Statistics Assuming Lognormal Distribution
Mean in Original Scale 154 Mean in Log Scale 5.027
SD in Original Scale 24.45 SD in Log Scale 0.139
95% UTL95% Coverage 211 95% UPL (t) 194.7
90% Percentile (z) 182.3 95% Percentile (z) 191.8
99% Percentile (z) 210.9 95% USL 219.9
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 23 95% UTL with95% Coverage 372
Approximate f 1.211 Confidence Coefficient (CC) achieved by UTL 0.693
95% UPL 366.6 95% USL 372
95% KM Chebyshev UPL 369.9
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.
Thallium
General Statistics
Total Number of Observations
Number of Distinct Observations
Number of Detects
Number of Distinct Detects
23 Number of Missing Observations
14
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 Thallium was not processed!
Total Organic Carbon
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
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
23 Number of Distinct Observations
457 First Quartile
20100 Median
23800 Third Quartile
5394 SD
1.254 Skewness
7.835 SD of logged Data
2.328 d2max (for USL)
0.744 Shapiro Wilk GOF Test
0.914 Data Not Normal at 5% Significance Level
0.253 Lilliefors GOF Test
0.185 Data Not Normal at 5% Significance Level
21137 90% Percentile (z)
17256 95% Percentile (z)
23139 99% Percentile (z)
0.912 Anderson -Darling Gamma GOF Test
0.78 Data Not Gamma Distributed at 5% Significance Level
0.195 Kolmogrov-Smirnoff Gamma GOF Test
0.188 Data Not Gamma Distributed at 5% Significance Level
0.785 k star (bias corrected MLE)
6869 Theta star (bias corrected MLE)
36.12 nu star (bias corrected)
5394 MLE Sd (bias corrected)
18697 90% Percentile
19411 95% Percentile
27956 99% Percentile
30597
33741 95% HW USL
0.929 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.14 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
50148 90% Percentile (z)
24011 95% Percentile (z)
73310 99% Percentile (z)
23 95% UTL with 95% Coverage
1.211 Confidence Coefficient (CC) achieved by UTL
23800 95% BCA Bootstrap UTL with 95% Coverage
23060 90% Percentile
26118 95% Percentile
35506 99% Percentile
23800
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.
N/A
N/A
0
23
14
5.1
7.6
100%
23
804
1720
6775
6763
1.601
1.283
2.624
14061
16518
21126
0.712
7578
32.74
6393
13487
18250
29603
37968
13094
20871
50042
23800
0.693
23800
14300
19540
22986
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)
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 (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
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
23 Number of Distinct Observations
23
8.4 First Quartile
20.3
67.2 Median
33.8
75.7 Third Quartile
45.45
35.05 SD
18.56
0.529 Skewness
0.727
3.416 SD of logged Data
0.561
2.328 d2max (for USL) 2.624
0.933 Shapiro Wilk GOF Test
0.914 Data appear Normal at 5% Significance Level
0.153 Lilliefors GOF Test
0.185 Data appear Normal at 5% Significance Level
78.25 90% Percentile (z) 58.83
67.6 95% Percentile (z) 65.57
83.74 99% Percentile (z) 78.22
0.209 Anderson -Darling Gamma GOF Test
0.749 Detected data appear Gamma Distributed at 5% Significance Level
0.0841 Kolmogrov-Smirnoff Gamma GOF Test
0.182 Detected data appear Gamma Distributed at 5% Significance Level
3.7 k star (bias corrected MILE) 3.246
9.474 Theta star (bias corrected MILE) 10.8
170.2 nu star (bias corrected) 149.3
35.05 MILE Sd (bias corrected) 19.45
73.62 90% Percentile 61.14
75.07 95% Percentile 71.93
92.59 99% Percentile 95.22
96.1
103.5 95% HW USL 108.5
0.976 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.0959 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
112.3 90% Percentile (z) 62.44
81.38 95% Percentile (z) 76.54
132.5 99% Percentile (z) 112.2
23 95% UTL with 95% Coverage 75.7
1.211 Confidence Coefficient (CC) achieved by UTL 0.693
75.7 95% BCA Bootstrap UTL with 95% Coverage 75.7
74 90% Percentile 63.46
91.92 95% Percentile 66.99
117.7 99% Percentile 73.83
75.7
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
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 (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
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
23 Number of Distinct Observations
22
23.5 First Quartile
65.8
189 Median
91.4
203 Third Quartile
116
99.25 SD
50.42
0.508 Skewness
0.61
4.458 SD of logged Data
0.573
2.328 d2max (for USL) 2.624
0.94 Shapiro Wilk GOF Test
0.914 Data appear Normal at 5% Significance Level
0.132 Lilliefors GOF Test
0.185 Data appear Normal at 5% Significance Level
216.6 90% Percentile (z) 163.9
187.7 95% Percentile (z) 182.2
231.6 99% Percentile (z) 216.6
0.238 Anderson -Darling Gamma GOF Test
0.749 Detected data appear Gamma Distributed at 5% Significance Level
0.0953 Kolmogrov-Smirnoff Gamma GOF Test
0.182 Detected data appear Gamma Distributed at 5% Significance Level
3.732 k star (bias corrected MILE) 3.275
26.59 Theta star (bias corrected MILE) 30.31
171.7 nu star (bias corrected) 150.6
99.25 MILE Sd (bias corrected) 54.85
208 90% Percentile 172.8
213.1 95% Percentile 203.2
261.3 99% Percentile 268.7
272.7
292 95% HW USL 308
0.949 Shapiro Wilk Lognormal GOF Test
0.914 Data appear Lognormal at 5% Significance Level
0.106 Lilliefors Lognormal GOF Test
0.185 Data appear Lognormal at 5% Significance Level
327.5 90% Percentile (z) 179.8
235.7 95% Percentile (z) 221.4
388 99% Percentile (z) 327.2
23 95% UTL with 95% Coverage 203
1.211 Confidence Coefficient (CC) achieved by UTL 0.693
203 95% BCA Bootstrap UTL with 95% Coverage 201.6
200.2 90% Percentile 178
253.8 95% Percentile 187.9
323.8 99% Percentile 199.9
203
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.