theta hat (mle) 0.0667 theta star (bias corrected mle) 0 · lilliefors test statistic 0.109...

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.. - Background Statistics for Uncensored Full Data SetsUser Selected Options[---t•.. ,, ________ ___________

Date/Time of Computation r8/12/2015 1:25:19 PM

From File Y:\MyFiles2\Highland\Restoration\B Wellfield\Mine Unit B NRC\Water Sampling\Water Quality Compairison\Min

Full Precision OFF _____ ________

Confidence Coefficient ,95%

Coverage .90%

New or Future K Observations 1

Number of Bootstrap Operations 2000

Year 0

General Statistics

Total Number of Observations 20Minimumi 0.002

Second Largest _0.213 1 ___

Maximum' 0.347

Mean 0.0579

Coefficient of Variation- 1.468

Mean o-f logged Dataj -3.527 -] ____

Number of Distinct Observations~ 18

First Quartilef 0.01183

Median 0.027

Third Quartile 0.0443SDi 0.0849

Skewness .. 2.653

Critical Values for Background Threshold Values (BTVs)

Tolerance Factor K (For UTL), 1.926

SD of logged Data• 1.173

d2max (for USL)I 2.557

Normal GOF Test

Shapiro Wilk Test Statistic- 0.606 IShapiro Wilk GOF Test

5% Shapiro Wilk Critical Value' 0.905 Data Not Normal at 5% Significance Level

Lilliefors Test Statistici 0.345 Lilliefors GOF Test

5% Lilliefors Critical Value/ 0.198 j Data Not Normal at 5% Significance Level

Data Not Normal at 5% Significance Level

Background Statistics Assuming Normal Distribution

95% UTL with 90% Coverage/ 0.221 {90% Percentile (z)I 0.167

95% UPL (t) 0.208'95% USL 0.275 -__

95% Percentile (z) !0.19899% Percentile (z)! 0.255

Gamma GOF Test

A-D Test Statistic 1.035 Anderson-Darling Gamma GOF Test

*-5% A-D Critical Value 0.774 Data Not Gamma Distributed at 5% Significance Level

K-S Test Statistic~ 0.223 - Kolmogrov-Srnirnoff Gamma GOF Test

S5% K-S Critical Value . ..0.2 - Data Not Gamma Distributed at 5% Significance Level

D)ata Not Gamma Distributed at 5% Significance Level

Gamma Statistics

k hat (MLE) 0.868 -; k star (bias corrected ML)[0.771

Theta hat (MLE) 0.0667 Theta star (bias corrected MLE) 0.7nlu hat (MLE)t 34.72- " nu star (bias oretd 30.84

M-LE Mean (bias correced) 0.0579 MLE Sd_(_bias ~corrected)l 0.0659

Background Statistics Assu-ming Gamma Distribution

_J.A I B I C I D I E I F I G I H 1 I J I K I L95% Wilson Hilferty (WH) Approx. Gamma UPL

95% Hawkins Wixley (HW) Approx. Gamma UPL

95% WH Approx. Gamma-UTL with 90% Coverage

95% HW Approx. Gamma UTL with 90% Coverage

95% WH USL

0.192

0.195

K~14

90% Percentile 0.14295% Percentide,, 0.19

9%Percentile 0.304

0.220.322 95% HW USL! 0.348

Lognormal GOF Test

Shapiro Wilk Test Statistic- 0.9645% Shapiro Wilk Critical Value! 0.905

Lilliefors Test Statistic• 0.138

Shapiro Wilk Lognormal GOF TestData appear Lognormal at 5% Significance Level

Lulli

5% Lilliefors Critical Value 0.198 Data appearData appear Lognormal at 5% Significance Level

efors Lognormal GOF TestLognormal at 5% Significance Level

Background Statistics assuming Lognormal Distribution

- 95% UTL with 90% Coverage' 0.282 90% Percentile (z) I 0.132

95% UPL (t) 0.235 95% Percentile (z) 0.202

95% USL1 0.59 99% Percentile (z) 0.45

Nonparametric Distribution Free Background Statistics

Data appear Lognormal at 5% Significance Level

Nonparametric Upper Limits for Background Threshold ValuesOrder of Statistic, rl 20 i95% UTL with 90% Coy

Approximate f 2.222 Confidence Coefficient (CC) achieved b,

95% Percentile Bootstrap UTL with 90%0 Coverage 0.347 i95N BCA Bootstrap UTL with 90%o Coy

95% UPL~ 0.34 90% Perc

90% Chebyshev UPL! 0.319 95% Perc- _ _ ~ ~ ~ ~ ~ ! _ -

95% Chebyshev UPL 0.437 99% Pert

95% USL 0.347

erage 0.347

y' UTL 0.878terage 0.347

;entiele 0.155

:entile 0.22

:entilel 0.322

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.

Year .3

General Statistics

Total N umber of Observations 20

Minimnuml0.002

Second Largest~ 0.222

M aximumn -0.-3-49-

Mean 0.0589

Coefficient of VariationI 1.513-___--

Mean of logged Data' -3.613

Number of Distinct Observations 19

First Quartilei 0.0148

Median 0.0225

Third Quartile 0.0545

- SD 0.0891•

Skewness 2.438........... SD of logged -Daia 1. 26-3-

______ - - ritical Values for Background Threshold Values (BTVs)Tolerance Factor K (For UTL) 1.926

d2max (for USL)i--2.557...

Normal GOF Test

I A I B I C I 0 E I F I G I H I I J I K I L110110o2

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Shapiro Wilk Test Statistici 0.619 Shapiro Wiik GOF Test5% Shapiro Wilk Critical ValueI 0.905 Data Not Normal at 5% Significance Level

LilifosTest Statistic* 0.3411 Lilliefors GOF Test

5% Lilliefors Critical Value 0.198 ... D-ata No-t-Normal at 5% Significance Level



95% UTL with 90% Coverage 0.23 195% UPL (t) 0.217

90% Percentile (z)1, 0.17395% Percentile (z)' 0.206

99% Percentile (z) 0.26695% USL 0.287

Gamma GOF Test

A-D Test Statistic: 0.987 Anderson-Darling Gamma GOF Test

5% A-D Critical Value 0.779 -Data Not Gamma Distributed at 5% Significance Level

K-S Test Statistic 0.192 Kolmogrov-Smirnoff Gamma GOF Test

5% K-S Cr-itical Value 0.201 Detected data apl~ear Gamma Distributed at 5% Significance Level -

Detected data follow Appr. Gamma Distribution at 5% Significance Level116

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Gamma Statistics

Theta hat

nu hat

k star (bias corrected MLE) 0.683

Theta star (bias corrected MLE) 0.0862

nu star (bias corrected) -- 27.33

MLE Sd (bias corrected)l 0.0713123

124

MLE Mean (bias

125 Background Statistics Assuming Gamma Distribution

126 95% Wilson Hilferty (WH) Approx. Gamma UPLI 0.204 90% Percentile 0.149

127 95% Hawkins Wixley (HW) Approx. Gamma UPL~ 0.208 95% Percentile 0.202

128 -- -95% WH Approx. Gamma UTL with 90% Coveragei ____.229 99% Percentile 0.33129 95% HW Approx. Gamma UTL with 90% Coverage! 0.236

130 95% wH USL, 0.35 'I 95%/ HW USL, 0.382

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Lognormal GOF Test

Shapiro Wilk Test Statistic' 0.973 Shapiro Wilk Lognormal GOF Test

5% Shapiro Wilk Critical Value 0.905 Data appear Lognormal at 5% Significance LevelLilliefors Test Statistic 0.109 Lilliefors Lognormal GOF Test

5% Lilliefors Critical Value 0.198 Data appear Lognormal at 5% Significance Level



95% UTL with 90% Coverage95% UPL (t)

0.3070.253

0.682

90% Percentile (z) 0.1369,5% Percentile (z): 0.216

99% Percentile (z)' 0.5195% USL

- Nonparametric Distribution Free Background StatisticsData appear Approximate Gamma Distribution at 5% Significance L.evel

Nonparametric Upper Limits for Background T]hreshold Values

Order of statistiC, r I 20 T .. 95% UTIL with 90%/ Cobverage

Approximate f 2.222 Confidence Coefficient (CC) achieved by UTL

95% Percentile Bootstrap UTL with 900/ Coverage 0.349 95% BCA Bootstrap UTL with 90% Coverage

0.349

0.878

0.349

I A I B I C I D I E I F I G H IJ K ! L151 ......... 95% UPL 0.343 I90% Percentile1 0.187

152 ___90% Chebyshev UPL1 0.333 7 i - 95% Percentile~ 0.228

15:3 95% Chebyshev UPL] 0.457 .!. ..... 99% Percentile, 0.325

154 __ 95% USLI 0.49

15 ~Note: The use of USL to estimate a BTV is recommended only when the data set represents a background

17data set free of outliers and consists of observations collected from clean unimpacted locations.

158 The use of USL tends to provide a balance between false positives and false negatives provided the data

159 represents a background data set and when many onsite observations need to be compared with the BTV.

160 ____ ____________

161 Year ;4

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General Statistics

Total Number of Observationsl 20Minimum 0.002

Second Largest~ 0.266 V _ _Maximum' 0.419__L__

Mean 0.06681I

Coefficient of Variationi 1 .587k

Mean of logged Datai [-3.547~ __

Critical Values for Background Threshold Values (BTV

Tolerance Factor K (For UTL)L 1.926[


First Quartile 0.0145

Median 0.0245

Third Quartilel 0.0573

SD~ 0.106

Skewness~ 2.543

SD of logged Data 1.302

's)

d2max (for USL) 2.557

Normal GOF Test - __

Shapiro Wilk Test Statistic' 0.606 Shapiro WilkGOF Test

5% Shapiro Wilk Critical Value 0.905 .Data Not Normal at 5% Significance Level

____- Lilliefors Test Statistic 0.315 Lilliefors GOF Test

5% Lilliefors Critical Valuel 0.198 Data Not Normal at 5% Significance Level

Data Not Normal at 5% Signiflcance Level


95% UTL with 90% Coverage' 0.271 - 90% Percentile (z) ... 0.-20(3

95% UPL (t) 0.255 -- 95% Percentile (z)1 0.241

95% USL 0.338 99% Percentile (z)! 0.313

Gamma GOF Test _

-- A-D Test Statisticl 1.034 Anderson-Darling Gamma GOF Test

5% A-D Critical Value- 0.'783--] Data Not Gamma Distributed at 5% Significance Level

K-S Test Statistic 0.208 Kolmogrov-Smirnoff Gamma GOF£ Test

5% K-S Critical Value -- 0.202 Data Not Gamma Distributed at 5% Significance Level

Data Not Gamma Distributed at 5% Significance Level

Gamma Statistics...k hat (MLE) 0.71-7-

Theta hat (MLE)~ 0.0932 inlu tat (MLE) 28.67

ML.E Mean (bias corrected)l 0.0668

k star (bias corrected MLE)I 0.643Theta star (bias corrected MLE) 0.104

nustar (bias corrected)1 25.7 -

MvLE Sd (bias correctediF 0.0833

Back~ground Statsisics Assuming Gamma Distribution

I. A . B I C I D I E I F I G I H I I J I K I L201

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* 95% Wilson Hilferty (WH) Approx. Gamma UPLi 0.23595%.Hawkins Wixley (HW) Approx. Gamma UPL7 0.239

95% WH Approx. Gamma UTL with 90% Coverage i0.264

95% HW Approx. Gamma UTL with 90% Coveragei 0.273

95% WH USL 0.408

Lognormal GOF Test

Shapiro Wilk Test Statistic I 0.97

5% Shapiro Wilk Critical Value' 0.905

Lilliefors Test Statistic 0.132

5% Lilliefors Critical Valuei 0.198 y

90% Percentile• 0.17195 ecetl 0.235

9%Pretl 1 0.387

95% HW USL 0.446

Shapiro Wilk Lognormal GOF Test

Data appear Lognormal at 50/ Significance Level

Lilliefors Lognormal GOF Test



Background Statistics assuming Lognormal OiF95% UTL with 90% Coverage 0.354 1

I

stribution

95% UPL(t 0.294

90% Percentile (z) 0.153

95% Percentille(z)L0.245

99% Percentile (z) 0.59695% USL 0.804

Nonparametric Distribution Free Background StatisticsData appear Lognormal at 5% Significance Level

Nonparametric Upper Limits for Background Threshold Values

Order of Statistic, rI 20Approximate f' 2.222

I 95% UTL with 90% Coveragel 0.419Confidence Coefficient (CC) achieved by UTL 0.878

95% BCA Bootstrap UTL with 90% Coverage~ 0.41995% Percentile Bootstrap UTL with 90% Coverage, 0.419

95% UP[L 0.411

90% Chebyshev UPL 0.393


95% USL 0.419

90% Percentile1 0270.199

95% Percentile 0.274

99% Percentile 0.39




represents a background data-set and when many onsite observations need to be compared with the BTV.

General Statistics

Total Number of Observationsl 207-~ -Minimum' 0.001

Second L-argestj 0.2

" "Maximum 1 0.204. M-ean" 0.0508

Coefficient of VariationI 1.2-56

Mean of logged Datai -3.754

Number of Distinct Observations 1..9i•First Quartile 0.01

" Med ian' 0.0265

________-IThird- Quartile. 0.0523

SD 0.0638

Skewness 1.671


Critical Values for Background Threshold Values (BTVs)Tolerance Factor K (For UTL). 1.926 d2max (for USL)~ 2.557

Normal GOF Test

I A I B I C I D I E I F I G I H I I J I K I L.2512•52

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Shapiro Wilk Test Statistic 0.723 IShapiro Wilk GOF Test5% Shapiro Wilk Critical Value 0.905 1Data Not Normal at 5% Significance Level

Lilliefors Test Statistic, 0.286 - Lilliefors GOF Test5% Lilliefors Critical Vatuel 0.198 } Data Not Normal at 5% Significance Level



95% UTL with 90% Coverage{ 0.174 1

95% UPL(t)~ 0.164~ .

95% USL j 0.214

90% Percentile (z)} 0.13395% Percentile (z)! 0.156

99% Percentile (z) 0(. 199 ..

A-D Test Statistic

Gamma GOF Test0.466 Anderson-Darling Gamma GOF Test

4. 5% A-D Critical Value! 0.779 Detected data appear Gamma Distributed at 5% Significance Level

K-S Test Statistic 0.137 !KotmogrovwSmirnoff Gamma GOF Test

5% K-S Critical Valuer 0.201 Detected data appear Gamma Distributed at 5% Significance Level

Detected data appear Gamma Distributed at 5% Significance Level266

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Gamma Statistics

k hat (MLE)ITheta hat (MLE)

0.77 1

0.0659 :~k star (bias corrected MLE) F 0.689

Theta star (bias corrected MLE)! 0.0738

nu star (bias correct~ed)! 27.54

MLE Sd (bias corrected)! 0.0612nu hat(MLE) i 30.84!i

MLE Mean (bias corrected) •I0.05087

Background Statistics Assuming Gamma Distribution95%/ Wilson Hilferty (WH) Approx. Gamma UPL 0.18 90o/(

95% Hawkins Wixtey (HW) Approx. Gamma UPL 0.19- 95% WH Approx. Gamma UTL with 90% Coverage'. 0.201

95% HW Approx. Gamma UTL with 90% CoverageI 0.216_____ - -95% WH USLI 0.307

95o/(

Percentile 0.128

Percentile 0.174

Percentile 0.284

95% HW USL! 0.35

Lognormal GOF Test

Shapiro Wilk Test Statisticj 0.972 Shapiro Wilk Lognormal GOF Test

5% Shapiro WilkCritical Valuej_0.905 Data appear Log norrhal at 5% Significance Level

Lilliefors Test Statistic 0.0797 -- Lilliefors Lognormal GOF Test

5% Lilliefors Critical Valuel 0.198 Data appear Lognormal at 5% Significance Level

Data appear Lognormat at 5% Significance Level

Background Statistics assuming Lognormal Distribution95% UTL with 90% Coverage 0.341! -__________

S95O/oUPL(t)~ 0.275 •.. ..

95% USL{ 0.819 !


.. ... Da~ta appear Gamma Distributed at 5% Significance Level




Nonparametric Upper Limits for Background Threshold Values-- Order o taisic, r 20 --- - 95% UTL with 90%• CoverageI 0.204

Approximate f 2.222 Confidence Coefficien-t-(CC) a~chiev-ed• byUTLI.... 0.878 ..

95%/ Percentile Bootstrap UTL with 90% Coverage-! 0.204 95% BCA Bootstrap UTL with 90% Coverage! 0.204

I A, I B I c I D I E I F I G I H I I J I K I L

301302

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3461347

348

95% UPL90% Chebyshev UPL

95% Chebyshev UPL

95% USL

0.2040.247

0,336

0.204

90% Percentile95% Percentile.

99% Percentilei

0.156

0.2

0,203

Note: The use of USL to estimate a BTV is recommended only when the data set represents a background....... .. ........................data setfee of outirsad o sit of o-bseration-scolected fro-m--clean-unimpacted% loctios ......

- 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 onsiteobservations need to be compared with the BTV.

YearlO.3 ___

General Statistics

Total Number of Observations 20

_____Minimum~ 0.002

SecondTLarges t 0.35

Number ofDistinct Observationsl16

First Quartilef 0.00725

Median! 0.0135

"Third Quartilei 0.0508

SD ,0.044

MaximumMean

Coefficient of Variation

Mean of logged Data

0.139

0.035

1.258

-4,118

SkewnessSD of logged Data

1.607

1.318

Critical Values for Background Threshold Values (BTVs)Tolerance Factor K (For UTL)' 1.926

d2max (for USL)j 2.557

Normal GOF TestShapiro Wilk Test Statistic 0.728 Shapiro Wilk GOF Test

5% Shapiro Wilk Critical Value 0.905 Data Not Normal at 5% Significance Level

Lilliefors Test Statistic 0.259 Lilliefors GOF Test

5% Lilliefors Critical Value 0.198 Data Not Normal at 5% Significance Level



95% UTL with 90% Coverage

95% UPL (t)

0.12

0.113

90%/ Percentile (z) 0.09 13


99% Percentile (z) 0.13795% USL 0.147

Gamma GOF TestA-D Trest Statistic 0.676 .[Anderson-Darling Gamma GOF Test

5% A-D Critical Value 0.778 ! Detected data appear Gamma Distributed at 5% Significance Level

--K--S-Test Statistic 0.168/ Kolmogrov-Smirnoff Gamma GOF Test"

5% K-S Critical Value 0,201 1 Detected data applear Gamma Distributed at 5% Significance Level

-Detected data appear Gamma Distributed at 5% Significance Level

Gamma Statistics

k hat (MLE). 0.779 Tk star (bias corrected MLE). 0.695

Theta hat (E) 0.0449 Theta star (bias corrected MLE) 0 .0503____- uha(ML) 1.1 __sta (iascorectd) 2.82....

nuha _____) 31.15 nu__ star (bias corrected____________27,82_

MLE Mean (bias corrected)j 0.035[ -__MLE Sd (bias corrected)! 0.0419

Background Statistics Assuming Gamma Distribution

I A I B I c I D I E F I *G I H I I J I K I L95% Wilson Hilferty (WH) Approx. Gamma UPL

95% Hawkins Wixley (HW) Approx. Gamma UPLI95% WH Approx. Gamma UTL with 90% Coverage~

95% HW Approx. Gamma UTL with 90% Coverage'

95% WH USL

0.1240.129 "

0.147

0.211 ,

Lognormal GOF Test


95% Percentile! 0.119

99% Percentile[ 0.194

95% HW USL [k0.'2_3_8_

Shapi5% Shapir

L

5% YLi

iro Wilk Test Statistic 0.953$ Shapiro Wilk Lognormal GOF Testro WAilkCrit~ica Value! 0.905 LE Data appear Lognormal at 5% Significance Level

_iliefors Test Statistic 0.123 iLilliefors Lognormal GOF Test

illefors Critical Value 0.198 "Data appear Lognormal at 5% Significance Level


Background Statistics assuming Lognormal Distribution95% UTL with 90% Coveragej 0.206 -

95% UPL (t)] 0.168

95% U-SL 0.473

90% Percentile (z)' 0.0881




Data appear Gamma Distributed at 5% Significance Level

-- __ -Nonparametric Upper Limits for 1Background Threshold ValuesOrder of Statistic, r: 20 95% UTL with 90% Coverage 0.139

-Approximate fi 2.222 Confidence Coefficient CCC) achieved by UTL 0.878

95% Percentile Bootstrap UTL with 90% CoverageI 0.139 95% BCA Bootstrap UTL with 90% Coverage 0.139

95% UPL/ 0.139 I90% Percentile 0.113

90% Chebyshev UPL' 0.17 95% PercentileI 0.135

95% Chebyshev UPL 0.231 99% Percentile:- 0.138

95% USLO0.139 i -- --i----------Note: The use of USL to estimnate a BTV is recommended only when the data set represents a background




Year10.5

388

389

General Statistics

Total Number of Observations - 20390

391

392

393

394

395

396

397

398

399

400

Minimum~ 0.001Second Largest 0.153

MaximumI 0.19 ]

÷ Mean 0.0413iCoefficient of Variation 1.2 9-2-

Number of Distinct Observations[ 19First QuartileI 0.007 ...

Medianl 0.0155


_____________ SD1 0.0533

Skewness 1.804

SD of logged Data - 1.382

d2max (for USL): 2.557

-- Mean of logged Data1, -3.988

Critical Values for Background Threshold Values (BTVs)Tolerance Factor K (For UTL): 1.926 __ -. ....

Normal GOF Test

! A I B I C I D I E I F I G I H I I J I K I L401402

403

404!

405

406

407

408

409

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411

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Shapiro Wilk Test Statistic 0.736 Shapiro Wilk GOF Test-5% •Shiapir-o wiTkCriticalVaue -- 0.905.• -.1 D............-ata Not Normal-ao5%-Sg-nifance Level ....



Data Not Normal at 5% Significance Leyel


95% UTL with 90% Coverage' 0.144 i90% Percentile (z)

95% UPL (t) 0.136 I 95% Percentile (z),

95% USL. 0.177' 99% Percentile (z)i

0.110.129

0.165

Gamma GOF Test

A-D Test Statistic1 0.502 Anderson-Darling Gamma GOF Test

5% A-D Critical Value 0.78 Detected data appear Gamma Distributed at 5% SignifiCance Level

K-S Test Statistic1 0.153 Kolmogrov-Smirnoff Gamma GOF Test

5% K-S Critical Value 0.201 T Detected data appear Gamma Distributed at 50/ SignificanceLel

Detected data appear Gamma Distributed at 5% Significance Level

Gamma Statisticsk hat (MLE)1 0.749

Theta hat_(MLE)j 0.0551 1

nu hat (MLE) 29.95

MLE Mean (bias corrected) 0.0413

k star (bias corrected MLE)} 0.67Theta star (bias corrected MLE)I 0.0616

nu star (bias corrected) 26.79

M LE Sd (bias corrected) F .0504

425 __ Background Statistics Assuming Gamma• Distribution426 95% Wilson Hilferty (WH) Approx. Gamma UPLI 0.147

427 95% Hawkins Wixley (HW) Approx. Gamma UPLi 0.155

428 95% WH Approx. Gamma UTL with 90% Coverage~i 0;165

429 95% HW Approx. Gamma UTL with 90% Coveirage& 0.176

430 95% WH USLI 0.254

90% Percentilei, 0.10595% Percentile;, 0.143

99% Percentile: 0.234

95% HW USL 0.288

431

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433

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446:

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450

Lognorma! GOF Test

Shapiro Wilk Test Statistic, 0.978ShprWikLgomlGFTs

5% Shapiro Wilk Critical Value 0.905 Data appear Lognormal at 5% Significance Level

Lilliefors Test Statistici 0.0805 Lilliefors Lognormal GOF Test

5% Lilliefors Critical ValueI 0.198 Data appear Lognormal at 5% Significance Level



95% UTL with 90%/ Coverage, 0.266 90%,/ Percentile (z)!

* 95% UPL (t)i 0.215 ... 95% Percentile (z)l!...................................- 4--

95% USLI 0.635 99% Percentile (z)I

0.109

0.18

0.462

Nonparametric Distribution Free Background StatisticsData appear Gamma Distributed at 5% Significance Level

- - -- -- Nonparametric Upper Limits for Background Threshold ValuesS Order of Statistic, rI 20)... •- 9

- Appoxiate ft 2.222i ........... Confi-d-ence Co-efl

95% Perc~entile Bootstrap UTL with- 90%Coerage- 0.19 '...... 95%BCA Bootstr

5% UTL with 90% CoverageT 0.19ficient (CC)-aclhieve-d-tby UT 0.878

rap UTL with 90% Coverage 0.19

I A I B I C I D I E I F I G I H I I J I K I L95% UPL

90% ChebyshvU•L

95% Chebyshev UPLf

95% USLL

0.1880.205

0.279

0.19

90% Percentile'95% Percentile9 9 % Percentile

0.1140.155

0.183

-Note:--The use of USL to estimate a BTV is recommended only when the data set represents a backgrounddata set free of outliers and consists of observations collected from clean unimpacted locations.

The use of USL tends to provide a b~alance between false positives~and false negatives provided the data


Year10.8

iGeneral Statistics

Total Number of Observations V

Minimum

Second Largest

Maximum

Mean


Mean of logged Data

20

0.001

0.147

0.204

0.0451

1.232

Number of Distinct Observations [17

First Quartile 0.01 05

-- Median~ 0.018Third QuartileI 0.0615

SD! 0.0556

Skewness! 1.777

SD of logged Datai 1.332-3.827


Tolerance Factor K (For UTL)[I 1.926d2max (for USL) 2.557

Shapiro Wilk Test Statistic.i

,Normal GOF Test0.751 Sl"

5% Shapiro Wilk Critical Value' 0.905 iData Not N,

Lilliefors Test Statistic. 0.265

5% Lilliefors Critical Value 0.198 Data Not N



95% UTL with 90% Coverage 0.152

hapiro Wilk GOF Test

ormal at 5% Significance Level

Lilliefors G3OF Test

ormal at 5% Significace Level


95% Percentile (z) -0.136

99% Percentile (Z) 0.17495% UPL (t) .0.144

95% USL 0.187

Gamma GOF TestA-D Test Statistic 0.479 Anderson-Darling Gamma GOF Test

5% A-D Critical Value 0.777 Detected data appear Gamma Distributed at 5% Significance Level


5% K-S Critical Value 0.201 Detected data appear Gamma Distributed at 5%/ Significance Level

Detected data appear Gamma Distributed at 50/ Significance Level

Gamma Statistics

k hat (MLE)i 0.813

Theta hat (MLE) 0.0()I555

nu hat (MLE) 32.53

MLE Mean (bias correctedl) 0.0451i..


"k Star(bias corrected MLE)! 0.72-5-Theta star (bias corrected MILE): 0.0622

nu star (bias corrected), 28.98

-- MLE Sd.(bias corrected) 0.053

I A I B I C I 0 I E I F I G I H J I K I L501 - 95% Wilson Hilferty (WH) Approx. Gamma UPLI 0.157 90% Percentile 0.112

50295 Hawkins Wixley (HW) Approx. Gamma UPLI 0.165 95 Peenie 012

503 95% WHV Approx.-G-amma UTrLwith 90%0• Coverage- 0.176 i-99%o Percentile 0.-O245--

504i 95% HW Approx. Gamma UTL with 90% Coveragel 0.187 __

5051 95% WH USLl 0.266 ,95% HW USL! 0.301

506 ___

507 Lognormal GOF Test

58Shapiro Wilk Test Statistic 0.972 [Shapiro Wilk Lognormal GOF Test

50.9 - .5% Shapiro Wilk Critical Value: 0.905 ] Data appear Lognormal at 5% Sighificance Level

510 ____Lilliefors Test Statistici 0.107 1 LUlliefors Lognormal GOF Test

511' 5% Lilliefors Critical Value'--0.198- D............. ata-appear-Lognormal'at 5% Significance Level .......

512 ______Data appear Lognormal~at 5% Significance Level

513

514 Background Statistics assuming Lognormal Distribution

515 95% UTL with 90% CoverageI 0.283 L90% Percentile (z) 0.12

516 ___ 95% UPL (t) . 0.23 -~95% Percentile (z) 0.195

517 95% USL 0.655 99% Percentile (z); 0.482

518 __________ _______________

519 Non parametric Distribution Free Background Statistics

520 Data appear Gamma Distributed at 5% Significance Level

521 ______

522 Nonparametric Upper Limits for Background Threshold Values

523 _____ Order of Statistic, rI 20 i95% UTL with 90% Coveragei 0.204524 Approximate f 2.222 iConfidence Coefficient (CC) achieved by UTL 0.878

525 95% Percentile Bootstrap UTL with 90% Coverage 0.204 95% BCA Bootstrap UTL with 90% Coverage 0.204

526 95% UPL 0.201 90% Percentile 0.131

527 90% Chebyshev UPL! 0.216 95% Percentile: 0.15

528 .---- __95% Chebyshev UPL! 0.293 199% PercentilJ• 0.193

529 95% USL' 0.204

530 ______

531 Note: The use of USL to estimate a BTV is recommended only when the data set represents a background

532 data set free of outliers and consists of observations collected from clean unimpacted locations.



535 __________________________________________ __________________

536 Year11

537 _____________________ ___________________________________58General Statistics

59Total Number of Observations i :20 - iNumber of DistinCt Observations 18

50______Minimum t0.004 1 First Quartile 0.00775541 . ..... Second Largest1 0.158 .... Median 0.... 00-1-5-

542 Maximum 0.177 1 Third Quartile 0.0515

543 Mean 0.0415 SD. 0.0528

544 __ ___Coefficient of Variation~ 1.274 Skewness' 1.67 1

545 Mean of logged Data, -3.915 l Do ogdDt .4

546 ______________

547 _______Critical Values for Background Threshold Values (BTVs)Tolerance Factor K(For UTL) 1.926 L... d2max (for USL.)-- 2.557

549

550 Normal GOF Test

I A I B I c I D I E I F I G H I I J ! K I L551552

553

554

555

556

557

558

559

560

561

562

563

564

565

566

567

Shapiro Wilk Test Statistic 0.727 Shapiro Wilk GOF Test5% Shapiro Wilk Critical Valuei 0.905 -Data Not Normal at 5% Significance Level

Lilliefors Test Statistici 0.264 Lilliefors GOF Test

5%ULiliefors Critical Valuel 0.198 iData Not Normal at 5% Significance LevelI ___________


Background Statistics Assuming Normal Distribution95% UTL with 90% Coverage 0.143 I__

95% UPL (t) 0.135

95% USL J 0.176

90% Percentile (z)

95% Percentile (z)

99% Percentile (z)

0.1090.128

Gamma GOF Test

A-D Test Statistic 0.887 -Anderson-Darling Gamma GOF Test

5% A-D Critical Value 0.777 - Data Not Gamma Distributed at 5% Significance Level


5%__K-S _ Cical aue1 0.201 Detected data appear Gamma Distributed at 5% Significance Level

Detected data follow Appr. Gamma Distribution at 5% Significance Level

*568

569

570

571

572

573

574

575

576

577

578

579

580

581

582

583

584

5871

589

590

591

592

593

594

595

596

597

598

599

600

Gamma Statistics

____k hat (MLE)V 0.81

Theta hat (MLE)I 0.0512

nu hat(MLE)I 32.39 I

MLE Mean (bias corrected)[ 0.0415


95% Wilson Hilferty (WH) Approx. Gamma UPL1 0,1l44

95% Hawkins Wixley (HW) Approx. Gamma UPLi 0.149

95% WH Approx. Gamma UTL with 90% Coveragel 0.161

95% HW Approx. Gamma UTL with 90% Coverage, 0.169 I

95% WH USL-024 I

k star (bias corrected MLE)' 0.722

Theta star (bias corrected MLE)' 0.0574


MLE Sd (bias corrected)1 0.0488


95% Percentile 0.14

- - - - 99% Percentilej 0.226

95% HW USL/ 0.272

Lognormal GOF TestShairoWik Tst taistc .92...1

Shpr ik etSaisi -2 Shapiro Wilk Lognormal GOF Test5% Shapiro Wilk Critical Value 0.905{. .. Data appear Lognormal at 5% Significance Level

Lilliefors Test Statistic -- 0.139 Lilliefors Lognormal GOF Test-I- -____

5% Lilliefors Critical Value 0.198 Data appear Lognormal at 5%Y Significance Level


Background Statistics assuming Lognormal Distribution95% UTL with 90% Coverag-ei 0.218 T ________

95% uPL (t)i 0.181 -. ___

95% USLI 0.478~ I


Data appear Approximate-(Gamma Distribution at 5% Significance Level

90% Percentile (z)195% Percentile (z)"

99% Percentile (z)

0.09810.154

0.359

Nonparametric Upper Limits for Background Threshold Values...... Order of Statistic, r 20 95% UTL with 9-0% Coverage~

.....-. 4--.--Approximate fl 2.222 Confidence Coefficient (CC) achieved by UTL

95% Percentile Bootstrap UTL with 90% Coverage] 0.177 J 95% BOA Bootstrap UTL with 90% Coverage

0.177

0.878

0.177

A I B I C D ) E I F I G I H I I J I K I L601 95%/oUPL 0.176 90%1 Percentile 0.123

602 90% Chebyshev UPL 0.204 95% Percentile 0.159


604 95% USL 0.177

605606 Note: The use of USL to estimate a BTV is recommended only when the data set represents a background -




610

Iron (&is) Box Plots by Sampling Event0

18

15

12•

a.

0

6

Year 0 Year .3 Year .4 YearlO Year10.3 Year10.5 Year10.8 Year11

Conductivity Box Plots by Sampling Event450

400

350

0 300

10

1500

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Year 0 Year .3 Yer0Ya 3Year .4 YearlO Year10.3 Yal. erO8YalYear10.5 Year10.8 Year11

Mine Unit B Selenium Sampling Events

01160

0.140

0.120

0.100 0

0.

E

0.040

0020P/W

Ye• .3 Ye• .4 Year10.3 Year10.5 Ye•11Year 0 Year I 0 Yeeirl 0.8

Year 0 Yea.3 Year .4 VealO YearlO3 Veal 0.5 Veal as Yeah

Radium Box Plots by Sampling Event0 0

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Uranium Box Plots by Sampling Event8 0

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Year 0 Year .3 Year .4 YearlO Year1 0.3 Year10.5 Year1 0.8 Yearl11

TDS (180) Box Plots by Sampling Event800

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20.

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Q0

Year 0 Year .3 eaoea.3Year .4 YearlO Year10.3 Yal. erO8YalYearlO.5 Year10.8 Year11

Conductivity Box Plots by Sampling Event450

400

350

I,-

020

250

100

@

Year 0 Year .3 Year .4 Year10 Year10.3 Year10.5 Year10.8 Year11

Arsenic Box Plots by Sampling Event

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0.350 0

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"E 0.200 3I

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0.100


I B I c I D I E I F I G I H I I J I K I L

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;Background Statistics for Uncensored Full Data SetsUser Selected Options• Radium

Date/Time of Computation 8/12/2015 10:58:36 AM

From File Y:\MyFiles2\Highland\Restoration\B Wellfield\Mine Unit B NRC\Water Sampling\Water Quality Compairison\Min

Full Precision OFF

Confidence Coefficient 95%

Coverage 90%


Number ot Bootstrap Operations 2000

Year 0

General Statistics

Total Number of Observations

Minimum

Second Largest

Maximum

Mean


Mean of logged Data

20

175

877

1050

437.1

0.563

5.947

Number of Distinct ObservationsFirst Quartile

Median

Third Quartile

SD

Skewness

SD of logged Data

19

274.8

331

543.8

246.2

1.201

0.517

2.557Critical Values for Background Threshold Values (BTVs)

Tolerance Factor K (For UTL) 1.926d2max (for USL)

Normal GOF TestShapiro Wilk Test Statistic 0.86 St'

5% Shapiro Wilk Critical Value 0.905 Data Not N,

Lilliefors Test Statistic 0.2 15

5% Lilliefors Critical Value 0.198 Data Not N,



95% UTL with 900/ Coverage 911.4

95% UPLC(t) 873.4

95% USL 1067

hapiro Wilk GOF Testormal at 5%/ Significance Level

Lilliefors GOF Test

ormal at 5% Significance Level

90% Percentile (z)95% Percentile (z)

99% Percentile (z)

752.7

842.1

1010

Gamma GOF Test

A-D Test Statistic 0.623 Anderson-Darling Gamma GOF Test

50/ A-D Critical Value 0.746 Detected data appear Gamma Distributed at 5% Significance Level


5% K-S Critical Value 0.195 Detected data appear Gamma Distributed at 5% Significance Level


k hat (MLE)Theta hat (MLE)

nu hat (MLE)

MLE Mean (bias corrected)

Gamma Statistics3.916

111.6

156.6

437.1

k star (bias corrected MLE)Theta star (bias corrected MLE)

nu star (bias corrected)

MLE Sd (bias corrected)

3.362130

134.5

238.4


I_ B I C I D I E I F I G H I I I K I *L5152

53

54

55

56

57

58

59

60

61

62

63

64

65

66

95% Wilson Hilferty (WH) Approx. Gamma UPL 910.395% Hawkins Wixley (HW) Approx. Gamma.UPL 919.2

95% WH Approx. Gamma UTL with 90% Coverage 968.5 I

95% HW Approx. Gamma UTL with 90% Coverage' 981.6 :

90% Percentile 756.895% Percentile: 888.2

99% Percentile[ 1172

95% HWLUSLI 127095% WH USL 1233

Log normal GOF TestShapiro Wilk Test Statistic 0.95 Shapiro Wilk Lognormal GOF Test


Lilliefors Test Statistic 0.158 'Lilliefors Lognormal GOF Test

5% Lilliefors Critical Value: 0.198 Data appear Lognormal at 5% Significance Level



95% UTL with 90% Coverage 1035

95% UPL(t). 95690% Percentile (z)l 742.195% Percentile (z)! 895.3

99% Percentile (z) 127367

68

95% USL 1434

69

70

71

72



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75¸

761771

78

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87

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Order of Statistic, ri 20Approximate f[ 2.222

95% Percentile Bootstrap UTL with 90% Coverage 1050

95% UTL with 90% Coverage• 1050

Confidence Coefficient (CC) achieved by UTL 0.87895% BCA Bootstrap UTL with 90% Coveragel 1050

95% UPL 104190% Chebyshev UPE[.-119 90% Percentile 792.4

95% Chebyshev UPLI 153795% USL 1050

99% Percentile~ 1017





Year .3

General Statistics


Minmum 327

____Second La~rgesti 966

Maximum 1510

Mean I 578.5Coefficient of Variation 0.506

Mean of logged Data 6.268

mber of Distinct Observations 20

........................................First Quartile 399.3

Median1 471

T.. lhird Quartilel 687.3

SD 292.9

Skewness 1.969

SD of logged Datal 0.416

d2max (for USL) 2.557Critical Values for Background Threshold Values (BTVs)

Tolerance Factor K (For UTL)/ 1.926

Normal GOF Test

1

I A I B I c I D I E I F I G I H I I J I K I L101 Shapiro Wilk Test Statistic 0.782 Shapiro Wilk GOF Test

102 5% Shapiro Wilk Critical Value 0.905 Data Not Normal at 5% Significance Level

103 Lilliefors Test Statistic 0.254 Lilliefors GOF Test

104 5% Lilliefors Critical Value 0.1 98T! Data Not Normal at 5% Significance Level

105 _ Data Not Normal at 5% Significance Level

106 ________________ ___________

Sln7 Background Statistics Assuming Normal Distribution

108

109

110

111

112

113

114

115

116

117

118

119

1203

121

122

123

124

125

126

127

1281

129

1303

131

132

133

134

135

136

137

138

139

1403

141

142

143

144:

145

95% UTLwith 90% Coverage 1143 V95% UPL(t) 1098

95% USL 1327

90% Percentile (z)l 953.995% Percentile (z)i 106099%/ Percentile (z)' 1260

Gamma GOF Test

A-D Test Statisticf 0.878 Anderson-Darling Gamma GOF Test

5% A-D Critical Value 0.745 Data Not Gamma Distributed at 5% Significance Level

K-S Test Statistic 0.225 -Kolmogrov-Smnirnoff Gamma GOF Test5%___ K-Iriia Vaue 0.9 Data_ NotGamaDisribute _t5%Sgncac Level

5%KSCiia aie 014Data Not Gamma Distributed at 5% Significance Level

Gamma Statistics

k hat (MLE)V 5.572

Theta hat (MLE)' 103.8

nu hat (MLE) 222.9 I

MLE Mean (bias corrected){ 57.8.5

k star (bias corrected MLE) 4.77Theta star (bias corrected MLE)_ 121.3

nu star (bias corrected)t 190.8

- MLE Sd (bias corrected)! 264.9


95% Wilson Hilferty (WH) Approx. Gamma UPL1 1091 1 __

95% Hawkins Wixiey (HW) Approx. Gamma UPL 1092

9)5% WH Approx. Gamma UTL with.90% Coverage 1151 l

90% Percentile. 933.295% Percentile 1072

99% Percentile 1365

95% HW Approx. Gamma UTL with 90% Coverage 1155 '95% WH USLI 1420 n95% HW USL 1441

Lognormal GOF TestShapiro Wilk Test Statistic 0.907 iShapiro Wilk Lognormal GOF Test

5% Shapiro W ik Critical Value 0.905 !Data appear Lognormal at 5% Significance Level

Lilliefors Test Statistic 0.199 Lilliefors Lognormal GOF Test

5% Lilliefors Critical Value 0.198 Data Not Lognormal at 5% Significance Level

Data appear Approximate Lognormal at 5% Significance Level

Background Statistics assuming Lognormal Distribution95% UTL withl 90%/ C(overage' 1175.....

95%UPL(t) 1102-------------------% USL 1527

Nonparametric Distribution Free BackgroundI Statistics

Data appear Approximate Lognormal .at 5% Significance Level


90% Percentile(z) 898.8

.95% Percentile (z) 1045

99% Percentile (z)l, 1388

146147

148

149

1,5no

-Order of Statistic. ... rm 2022-Approximatef -fi 22950,/o Percentile Bootstrap UTL with 90% Coverage~ 1510

9,5% UTL with 90% Coveragei 1510Confidence Coefficient (CC) achieved by UTLI 0.878

95%, BOA Bootstrap UTL with 90%Coveraget 1510

I A B C D I E I F [ GH I J I K L L95% UPL, 1483

90% Chebyshev UPLI 1479

95% Chebyshev UPL 1887

95% USL 1510

90% Percentile 944.495% Percentile 993.2

- 99% Percentile 1407

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 andi false negatives provided the data


Year .4

General Statistics

Total Number of Observations' 20

Minimum' 171

Second Largest: 951

Maximum. 1510

Meanl 567.3

Coefficient of Variation', 0.526

Mean of logged Datai 6.228

Number of Distinct Observations 19 -


Median 477.5


SD 298.5

Skewnessl 1.781

SD of logged Data: 0.483

Critical Values for Background Threshold Values (BTVs)Tolerance Factor K (For UTL)' 1.926


Normal GOF Test

Shapiro Wilk.Test Statistic. 0.849 Shapiro Wilk GOF Test

5% Shapiro Wilk Critical Value 0.905 !Data Not Normal at 5% Significance Level

Lilliefors Test Statistic 0.21 ILilliefors GOF Test




95% UTL with 90% Coverage 1142 -I _________

95% UPL (t)i 1096

95%/ USL! 1330

- 90% Percentile (z) I 949.895% Percentile (Z); 1058


_______--Gamma GOF TestA-D Test StatisticL 0.395 '.Anderson-Darling Gamma GOF Test

5% A-D Critical Value~ 0.74-5 Detected data appear Gamma Distributed at 5% Significance Level

K-S Test Statistic 0.169 Kolmnogrov-Smirnoff Gamma GOF Test

5% K-S Critical Value 0.195 i Detected data appear Gamma Distributed at 5% Significance Level

Detected data appear Gamma Distributed at-5 -oSignificance Level

Gamma Statisticsk hat (MLE) ... 4.6-07--

Theta hat (MLE)1 12. Theta

nu hat (MLE)1 184.3

star (bias-corrected MLE)Istar (bias corrected MLE)

M LE Sd (bias corrected)I

Background S~tatistics Assuming Gamma Distr'ibution

I A B C Dg E F I G I H I I J I K ! L201

202

203

204

205

206

207

208

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210

211

212

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222!

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1231

232

233

234

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237

238

239

240

241

242

243

244

245

246

247

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249

250

95%.Wilson Hilferty (WH) Approx. Gamma UPLi 112795% Hawkins ixe(W)Apo.Gamma UPL1 1138 1

95% WH Approx. Gamma UTL with 90% Coveragei 1194

95 W ppo.Gamma UT ih90 oeae 1210

95%WH USLI 1497•

90% Percentile! 949.995% Percentile, 1103

99% Percentile• 1431

95% HWUSL 1540

Log normal GOF TestShapiro WikTest Statistici 0.978 /Shapiro Wilk Lognormal GOF Test

5% Shapiro Wilk Critical Value 7 0.905 Data appear Lognormal at 5% Significance Level

Lilliefors Test Statistic: 0.138 ] Lilliefors Lognormal GOF Test

5% Lilliefors Critical Valuei 0.198 JData appear Lognormal atb'5% Significance Level



95% UTL with 90% Coverage! 1284 -- _ _____

95% UPL (t) 1192 - ____ ______

95% USL 1741




95% Percentile (z) 1121~~


Nonparametric Upper Limits for Background Threshold ValuesOrder of Statistic, rI 20 [ ______ 95%UTLwith 90%Coverage: 1510

-~Approximate fi 2.222 1 ofiec Coefficient (CC) achieved bUT 0.878

95% Percentile Bootstrap UTL with 90% Coveragei 1510 95% BCA Bootstrap UTL wth 90% Coveragel 1510

95% UPL 1482 90% Percentile 870

__-_______ 90% Chebyshev UPL. 1485 _____95% Percentiiej 979

95% Chebyshev UPL 1901 99% Percentilel 1404

95% USL 1510 _____




represents a background data set and when many onsite observations need to-be compared with the BTV.

Year10

General Statistics

Total Number of Observations!--. • Minimum•

Second Largesth

MaximumI

Meani

Coefficient of Va~riation

....... Mean of logged Data

20

1030 i ..

114

588.3 :

6.274 ...


First Quartile• 390.3

Median! 486

........................................Third Quartile& 779.3

SDJ 274.5

Skewnessl 0.69Sof logged Data 0.468.

-•Critical Values for Background Threshold values (BTVs)Tolerance Factor K (For UTL)l .... 1.92 d2max (for USL)' 2.557

Normal GOF Test

I A Bc I D I E I F I G I H I I J I K I L51Shapiro Wilk Test Statistic 0.911 Shapiro Wilk GOF Test

252J 5% Shapiro Wilk Critical Valuer 0.905 , Data appear Normal at 5% Significance Level

23Lilliefors Test Statistic 0.184 Lilliefors GOF Test

2541 5% Lilliefors Critical Valuer 0.198 Data appear Normal at 5% Significance Level

255 Data appear Normal at 5% Significance Level

256

257

258

Background Statistics Assuming Normal Di;

95% UTLwith 90% Coverage. 1117

stribution


95% Percentile (z)I 1040

99% Percentile Tz) 1227i259

:260

261

262

263

264

265

266

267

268

269

270

271

272

273

274

95% UPL(t) 107595% USL] 1290

Gamma GOF TestA-D Test Statistic 0.445 iAnderson-Darling Gamma GOF Test

_____________________________ ___________ __________________________________________________ ________

5% A-D Critical Value 0.745 1.Detected data appear Gamma Distributed at 5% Significance Level



- ~Detected data appear Gamma Distributed at 5% Significance Level

Gamma Statistics

k hat (MLE) 5.019

Theta hat (MLE) 117.2

nu hat (MLE)l 200.8

MLE Mean (bias corrected)} 588.3



nu star (bias corrected) 172

MLE Sd (bias corrected) 283.7

275 Background Statistics Assuming Gamma Distribution

2695% Wilson Hilferty (WH) Approx. Gamma UPL 1144 1 __90% PE

277 95% Hawkins Wixley (HW) Approx. Gamma UPL" 1159 j_______ _____ 95% Pc

278 -95%/ WH Approx. Gamma UTL with 90% Coeae•11 99%_ P_________

279 95% HW Approx. Gamma UTL with 90% Coverage 1230

280 95% WH USL. 1507 1 ________95% I

,=rcentileI 968.5,=rcentile' 1119

•rcentile 1439

-IW USL 1555

281

282:

283

284

285

286

287

288

Lognormal GOF Test

Shap~iroWik es Statistic. 0.959 Shapiro Wilk Lognormal GOF Test



5% Lilliefors Critical Value, 0.198 Data appear Lognormal at 5% Significance Level


289 Background Statistics assuming Lognormal Distribution

290 95% UTL with 90% CoverageI 1308 1_______291 95% UPL (t). 1217

292 95% USL, 1757 1

90%Y Percentile (z) 9647.95% Percentile (z) 1147


293

294

295

296

297

298

299

300

Nonparametric Distribution Free Background StatisticsData appear Normal at 5% Significance Level

Nonparametric Upper Limits for Background Threshold ValuesOrder of Statistic, r 20 i9;

Approximate f 2 :.222 -] Confidence Coel

95% PercentileEBootstrap UTL With 90% Coverage 1140 I95% BCA Bootsti

5% UTL with 90% Coverage 1140fficient (CC) achieved by UTL~ 0.878

rap UTL with 90% coverage 1140

I A I B I C I D I E I F I G I H I I J I K I L

307

308

309

3104

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349

350

95% UPLI 113590% Chebyshev UPL1 1432i

95% Chebyshev UPLi 1814-95%/aUSL 114

90% Percentile 100095% Percentile 1036

99% Percentile 1119





Year1 0.3

General Statistics

Total Number of Observations l20

Minimum. 198

Second Largest~ 822

Maximum 833 I_____Mean~ 500.5 I

Coefficient of Variation 0.462

Mean of logged Data ' 6.107 i1


Tolerance Factor K (For UTL)l 1.926


First Quartile~ 330.3

Median 430

Third Quartile{ 789.8

SD{ 231.2

____________Skewnessj 0.374



Normal GOF TestShapiro Wilk Test Statisticq 0.868 iShapiro Wilk GOF Test

5% Shapiro Wilk Critical Value' 0.905 Data Not Normal at 5% Significance Level

Lilliefors Test Statistic, 0.193 .Lilliefors GOF Test

5% Lilliefors Critical Value 0.198 Data appear Normal at 5% Significance Level

Data appear Approximate Normal at 5% Significance Level


95%/ UTL with 90% Coveragel 945.8 !90% Percentile (z) 796.8

95% UPL(t)I 910.2 95% Percentile (z) 880.8

95% USL [1092 99% Percentile (z), 1038

Gamma GOF Test

A-D Test Statistic] 0.731 Anderson-Darling Gamma GOF Test

5% A-D CrtclValue1 0.745 Detected data appear Gamma Distributed at 5% Significance Level

K-S Test Statistic~ 0.189 -. Koirmogrov-,smirnoff Gamma GOF Test

5% K-S Critical Value; -0.195 I Detectedl data appear Gamma Distributed at 5% Significance Level-


Gamma Statisticsk hat_(MLE)} 4.786j____


______ - nu hat(MLE) 191.5

MLE Mean (bias corrected){500.5i

k star (bias corrected MLE)I 4.102

Theta star (bias corrected MLE) 122

nu star (bias corrected).E 164.1

-MLE Sd (bias corrected)' 247.1


I A I B I C I D I E I F G I H I 1 I J I K I L351

352

353

354

355

356

95% Wiison Hilferty (WH) Approx. Gamma UPLj 98795% Hawkins Wixley (HW) Approx. Gamma UPki 1003 L

95% WH Approx. Gamma UTL with 90% Coverage& 1045

95% HW Approx. Gamma UTL with 90% Coverage 1065

.. ~95% WH USL 1306


95% PercentileI 963.799% Percentile: 1245

95%-HW USL' 134

357358

359

360

361

362

363

364

357

371~

3672

.368

369

370

371

372

373

374

375

376

377

3783

379

380

381

382

383

384

385

386

387

388

3894

.390

391

392

393

399

400

Lognormal GOF TestShapiro Wilk Test Statistic 0.909 !Shapiro Wilk Lognormal GOF Test

5% Shapiro Wilk Critical Value~ 0.905 Data appear Lognormal at 5% Significance Level

Lilliefors Test Statistic~ 0.176 Lilliefors.Lognormal GOF Test

5% Lilliefors Critical Valuej 0.198 Data appear Lognormal at 5% Significance Level



95% UTLwith 90% Coverage 1147

95% UPL(t) 1064

95%USL 1559




Order of Statistic, r 20 9

Approximate f 2.222 .Confidence Coel

95% Percentile Bootstrap UTL with 90% Coverage 833 95% BCA Bootsti

9/oPercentile (z); 838.2

95% Percentile (z) 1 1000

99% Percentile (z). 1394

95% UPL

90% Chebyshev UPL

95% Chebyshev UPL

95% USL

832.5

1211

833

5% UTL with 90% Coverage [ 833fice-nt-(-CC) acheed by UTL L 0.878-

rap UTL with 90% Coverage~ 833


950/ Percentile 822.6


Note: The use of USL to estimate a BTV is recommended only when the data set represents a backgrounddata set free of outliers and consists of observations collected from clean unimpacted locations.

The use of USL tends to provide a balance between false positiv•es and false negatives provided the data

represents a background data set and when many onsite observations need to be compared with the BTIV.

Year1 0.5

General Statistics

Total Number of Observations! 20______________________.... _______

Minimumi 183

Second Largest•, 703

_____-Maximum 792

Mean 439.7

Coefficient of Va ri-ation; 0.423

Mean of logged Dataf 6.001


First Quartile 296

Mediani 373

Third Quartile 66.

Skewness! 0.557

SD of logged Data[ .. 0.4-2 6

Critical Values for Background Threshold Values CBTVs)ToleranCe Factor K (For UTL)[ 1.926

d2max (for USL)' 2.557

Normal GOF Test

I A I B I C 0 E I F I G I H I I J 1 K I L401

402

403

404

405

406

407

408

409

410

411

412

413

414

415

416

417

418

419

420

421

422

423

424

425

426

427

428

429430!

431

432

433!

434

435

436

437

438

439

440

441

442

443

444

446

447

448

449

450

Shapiro Wilk Test Statistic ' 0.904 ',Shapiro Wilk GOF Test5% Shapiro Wilk Critical ValueI 0.905 Data Not Normal at 5% Significance Level

Lilliefors Test Statistic! 0.19 Li liefors GOF Test

5% Lilliefors Critical Value 0.198 Data appear Normal at 5% Significance Level-


Background Statistics Assuming Normal Distribution95% UTL with 90% Cov•erage 798.2

95% UPL(t) 769.5

95% USL 915.6 ]

- ~90%/ Percentile (z) 578.295% Percentile (z) 745.9


Gamma GOF TestA-D Test StatisticI 0.5971... Anderson-Darling Gamma GOF Test

5% AD Citial Vlue 0,75 1 Detected data appear Gamma Distributed at 5% Significance Level

K-S Test Statistic 1 0.162,_ Kolmogrov-Smirnoff Gamma GOF Test

5% K-S Critical ValueL 0.194• Detected data appear Gamma Distributed at 5% Significance Level


Gamma Statisticsk hat (MLE)I 6.02 .... 1k star (bias corrected MLE)[ 5.151

Theta hat (MLE) - 73.04 /Theta star (bias corrected MLE)- 85.37

-nu hat (MLE), -240.8- ,_____nu___ star (bias corce 20aLE Mean (bias corrected) -439.7 iMLE Sd (bias corrected!IE 1-93.7-


95% Wilson Hilferty (WH) Approx. GammaUPLI815.4 - 90%/ Percentile 699

95% Hawkins Wixley (HW) Approx. Gamma UPL 824.4 T - 95% Percentile 799.1

95% WH Apo.Gamma UTL with 90% Coverage 859 - ____ 99% Percentile 1010

95% HW Approx. Gamma UTL with 90% Coverage 87195% wHusL 1054 95%oHW USLl 1082....

Lognormal GOF TestShapiro Wilk Test Statistic] 0.943 " Shapiro Wilk Lognormal GOF Test

5% Shapiro Wilk Critical Valuel 0.905 Data appear Lognormal at 5%/ Significance Level

Lilliefors Test Statistic• 0.142 Lilliefors Lognormal GOF Test

5% Lilliefors Critical ValueI 0.198 ;Data app ear Lognormal at 5% Significance Level

Data-appear Lognormal at 5% Significance Level

Background Statistics assuming Lognormal Distribution95% UTLwith 90% Coverage', 916.8

95%UiPL (t~i 858.6

95% USLI 1199



- Nonparametric Upper Limits for Background Threshold Values-

-- Order of Statistic, ri 20 __ 9,'

Approximnate fI 2.222 Confidence Coet

95% Percentile Bootstrap UTL with 90% ovrae 7-•92-- 95%.. ..... -B-CA-Bootst-j

90% Percentile (z)'95% Percentile (z)

99% Percentile (z)

696.8813.4

1087

5% UTL with 90% Coverage1fficient (CC) achieved by UTIL!

rap UTL with 90 Coverag

7920.878

792

I A I B I C I D I E I F I 0 H I I J I K .I L451

452

453

454

455

456

457

458

459

460

461

462

463:

464

466

467

95% UPL! 787.6 I90% Chebyshev UPL 1012 I

95% Chebyshev UPL 1271

95% USL• 792


99% PercentileI 775.1




represents a background data set and When many onsite observations need to be compared with the BTIV.

Year10.8

General Statistics


468

469

470

471

Minimum 178Second Largest F714

Maximum r732Mean 414.6



Number of Distinct Observations' 20First Quartile I 276

____ Mediani 355

- - Third Quartilei 583.5

SDI 184.5

Skewnessi 0.572

SD of logged DataI 0.448

472

473

474

475

476

477

478

479

480

481

Critical Values for Background Threshold Values (BTVs)Tolerance Factor K (For UTL)] 1.926 d2max (for USL)I 2.557

Normal GOF Test

Shapiro Wilk Test Statisticl 0.895 Shapiro Wilk GOF Test

5% Sh-ap-iro Wilk CriticaliV-alue1 0.905 Data Not Normal at 5% Significance Level

Lilliefors Test Statistic !* 0.191 _ Lilliefors GOF Test

5% Lilliefors Critical Value' 0.198 Data appear Normal at 5% Signifioance Level

-Data appear Approximate Normal at 5% Significance Level

482

483

48..4

485

486

487

488

489

490

491

492

493

494

495

496

497

498

;499

500


95% UTL with 90% Coverage~ 769.9

95% UPL (t) 741.4

95% USL 1886.2 .-

90% Percentile (z):

95% Percentile (z):

99% Percentile (z)i

651

718

843.7-.. .

Gamma GOF Test

A-D Test StatisticI 0.527 Anderson-Darling Gamma GOF Test - _

5% A-D Critical Valuer. 0.745 ' Detected data appear Gamma Distributed at 5% Significance Level


5% K-S Critical Value 0.194 -Detected data appear Gamma Distributedl at 5% Significance Level

Detected data appear Gamma Distributed at 5%' Significance Level

k hat (MLE)Theta hat (MLE)~

nu hat (-Ml-E)1

MLE Mean (bias corrected)l

Gamma Statistics5.463

75.9

218.5

414.6

k star (bias corrected MLE)J 4.677Theta-sta (b•ias corrected M~LE)t 88.66

....nu Sta bascrected ), 187.1I

MLE Sd (bias corrected)• 191.7

Background Statistics AsSuming Gamma Distribution

I A I B I C I D I E I F I G I H I I J I K I L551_552!

553,

554

555

556

557

558

559

560

561

562

563

564

565

566

567

568

569

570

571

572

573

574

575

576

577

Shapiro Wilk Test Statistic] 0.93 j ______ Shapiro Wilk GOF Test5% Shapiro Wilk Critical Value I 0.905 Data appear Normal at 5% Significance Level

Lilliefors Test Statistic] 0.139 I Lilliefors GOF Test

5% Lilliefors Critical Value• 0.198 Data appear Normal at 5% Significance Level

Data appear Normal at 5% Significance Level

Background Statistics Assuming Normal Distribution95% UTL with 90% Coverag 842.8 [

95% UPL (t) 809.8 I

95% USL 1977.9

930% Percentile (z)•95% Percentile (z)'

99% Percentile (z)

704.8

782.6

928.6

Gamma GOF TestA-D Test Statistic 1.264 Anderson-Darling Gamma GOF Test

5% A-D Critical Value! 0.753 Data Not Gamma Distributed at 5% Significance Level


5% K-S Critical Value 0.196 Data Not Gamma Distributed at 5% Significance Level

Data Not Gamma Distributed at 5% Significance Level

Gamma Statistics

-~ .-.-- k hat (MLE)' 1.934

Theta hat (MLE) 222.5

nu hat (MLE) 77.35

MLE Mean (bias corrected)" 430.4


95% Wilson Hilferty (WH) Approx. Gamma UPL 1085

95% Hawkins Wixley (HW) Approx. Gamma UPL 1215

95% WH Approx. Ga~mma UTL with 90% Coverage 1171

95% HW Approx. Gamma UTL with 90% Coverage] 1328

95% WH USL| 1570

Lognormal GOF Test

Shapiro Wilk Test Statistic• 0.569 Shapiro

5% ShaPiro Wilk Critical Value 0.905 Data Not Log

Lilliefors Test Statistic 0.316 Lilliefi

578

579

580

581

582

583

584

585

586

587

588

589

590

591

592

593

594

595

596

597

598

599

600

k star (bias corrected MLE { 1.677-Theta star (bias corrected MLE) 256.6

nu Star (bias corrected) 67.08

MLE Sd (bias corrected)1 332.3


95% Percentile 1080

99% Percentile 1546

95% HW USL 1874

Wilk Lognormal GOF Test

•normal at 5% Significance Level

:ors Lognormal GOF Test

jnormal at 5% Significance Level

90% Percentile (z)' 1455

95%Y Percentile (-z) 2225

99% Percentile (z) 4936---

Data Not Lognormal at 5% Significar

Background Statistics assuming Lognorm

Data Not Log

Ice Level

al Distributiot

95% UTL with 90% Coverage, 309195% UPL (t)[ 2581

95% USL[ 6460


Nonparametric Upper Limits for Background Threshold ValuesOrder of Statistic, rT -2-0 ..... - 95% UTLwith 90% Coverage

A•pproximate -f• -2.222- COnfidence Coefficient (CC) achieved by UTL

9%Percentile Bootstrap UTL with 90% CoverageI 764 95% BCA Bootstrap UTL with 90% Coverage

7640.878

764

.1.

I A I B I c I D I E I F G I H II J I K I L'.95% UPL 763.7 90% Percentilel 752.5601 ____________1___ _

6290% Chebyshev UPL 1089 !95% Percentile 757.4

603 ____ ______ 95% Chebyshev UPL1 1387 99% Percentile 762.7

60 __95% USL 764





610

A I B C c0 E I F I G I H I I J I K I L1 ___Background Statistics for Uncensored Full Data Sets

2 User Selected Options Selenium wlo ND

3 Date/Time of Computation 19/9/2015 10:16:23 AM

4 - *~From File iY:\MyFiles2\Highland\Restoration\B Wellfield\Mine Unit B NRC\Water Sampling\Water Quality Compairison\Min,

5 Full Precision OFF

6 _Confidence Coefficient 95%

7 Coverage 90%

8 New or Future K Observations 19 Number of Bootstrap Operations 12000

10 _____ __ ____________________44Year 0

II

12

13

14

15

16

17

18

19

General Statistics

Total Number of Observations

Minimum200.002

Second LargestMaximum

0.02

0.022

Mean


0.0088

0.702

*Number of Distinct Observations: 13

First Quartile 0.004i5

Median 0.006

Third Quartile: 0.012

SD: 0.00618

Skewness 0.95 1


BTVs)

d2max (for USL) 1 2.557

20

21

22

23

24

25

26

27

28

29

30

31

32

34:

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

Moeranc Fcof l(ogge DaTa) -41.9267

Critical Values for Background Threshold Values(

Tolerance Factor K (For UTL) 1.926

Normal GOF TestShapiro Wilk Test StatisticI 0.863 iShapiro Wilk GOF Test


Lilliefors Test Statistic. 0.225 FLilliefors GOF Test

- - 5% Lilliefors Critical Value 01•98-- Data Not Normal at 5% Significance Level


Background Statistics Assuming Normal Distribution95% UTL with 90% Coverage:. 0.0207-

-~ -95% UPL (t)I 0.0197

95% USL' 0.0246


*95% Percentile (z) 0.019


Gamma GOF Test

A-D Test Statistic' 0.562 -- Anderson-Darling Gamma GOF Test

-5% A-D Critical Value 0.751 Detected data appear Gamma Distributed at 5% Significance Level

K-S Test Statistic' 0.174 - Kolmogrov-Smirnoff G•amma GOF Test

5% K-S Critical Value' 0.196 Detected data appear Gamma Distributed at 5% Significance Level


k hat (MLE).Theta hat (MLE)i

nu hat (MLE)'

MLE Mean (bias corrected)

Gamma Statistics

2.2934

0.00384

91.73

0.0088 1

k star (bias corrected MLE) " 1.983Theta star (bias corrected MLE, 0.00444

fl nustar (biias corrected) •-_•


I A I B I C D E I F I G I H I "JU K ! L51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

95% Wilson Hilferty (WH) Approx. Gamma UPLI 0.0217 '95% Hawkins Wixtey (HW) Approx. Gamma UPLI 0.0222

95% WH Approx. Gamma UTL with 90% Coverage, 0.0234

95% HW Approx. Gamma UJTL with 90% Coverage 0.0241

95% WH USL 0.0314

90% Percentilei 0.017195% Percentile' 0.0209


95% HW USLI0.0332

Lognormal GOF TestShapiro Wilk Test Statistic! 0.95 Shapiro Wilk Lognormal GOF Test

5% Shapiro Wilk Critical Value 0.905 -- Data appear Lognormal at 5% Significance Level


5% Lilliefors Critical ValueI0_.O198_/ Data aperLgomlat 5% Significance Level



95% UTL with 90% Coverage! 0.027395% UPL (t)ji 0.0245

90% Percentile (z) 0.017395% Percentile (z) 0.0223-


68

69

70

71

72

73

74

75

95% USL' 0.0426.


___--Nonparametric Upper Limits for Background Threshold Values

Order of Statistic, ri 20 -95% UTL witl"

Approximate fI 2.222 Confidence Coefficient (CC)

95% Percentile Bootstrap UTL with 90% Coverage1 0.022 95% BCA Bootstrap UTL witl"I90% Coeragtie 0.0122

achiPevednytile 0.878199%/ Coeragtie 0.0226

76

77

95% UPL90% Chebyshev UPL

0.0219

0.0278

0.0364


95% Percentile 0.020 1


79

80

95% Chebyshev UPL

95% USLj 0.022




84 represents a background data set and when many onsite observations need to be compared with tlhe BTV.

85

86

87

88

89

90

91

92

Year .3

General Statistics

Total Number of Observations 20Minimum 0

Second Largest 0.023Maximumi 0.2

Number of Distinct Observationsr 14

First Quartile! 0.003

___-Median!- 0.0-06Third Quartile' 0.0168

SD 0.00824

Skewness 0.674

I.93

94

95

96

97

98

99

100

Mean 0.00965

L

Mean~ 0.00965


Critical Values for Background Threshold Values (BTVs)Tolerance Factor K (For UT-L)1 1.926I

Normal GOF Test

.....Shapiro-W ilk 3"esitastaistic -0.-88:1 .......'. .. .. ...... Sh-


]plro Wilk GOF Test

I A I g I C I D I E I F I G I H I I I J I K I LI A I B I CI I D l E I H I I I J j K .

'101

102

103

104

105

106

107

108

109

*110

111

5% Shapiro Wilk Critical Value 0.905 Data Not Normal at 5% Significance LevelLilliefors GOF TestLilliefors Test Statistic

5% Lilliefors Critical Value

0.221

0.198


Background Statistics Assuming Normal Distribi95% UTL with 90% Coveragei 0.0255

95%1 UPL (t)i 0.0242 1

95% USLI 0.0307

NJot Normal at 5% Significance Level

ution

- ___- 90% Percentile (z)i 0.020295% Percentile (z)' .03

-~99% Percentile (z), 0.0288

112

113

114

115

116

117

118

119

Gamma Statistics

Gamma Statistics Not Available

Cannot Compute Gamma Statisticsl

S Cannot Compute Log Statistics


Data do not follow a Discernible Distribution (0.05)


Order of Statistic, r 20 I 95% UTL with 90%

120121

122

123

124

125

126

127

128

129

CoverageV 0.025

Approximate f 2.22295% Percentile Bootstrap UTL with 90% Coverage 0.025

________ -95% UPL 0.0249



* Confidence Coefficient (CC) achieved by UTLI 0.878

iI 95% BCA Bootstrap UTL with 90% CoverageI 0.025

[ ~~90% Percentile' -0.02-2-1-

95% Percentilel 0.0231


95% USL 0.025




133J represents a background data set and when many onsite observations need to be compared with the BTV.

134

135

136

137

13._88

139

140

141

142

143

144

145

146

147

148

149_.£

150

Y(ear .4

General Statistics

Total N umber of Observations 20

- - - - - Minimum 0Second Largest 0.027 [-

... Maximum'• 0.035

Mean' 0.-012 T

.. .Coefficient of Variation; 0.904

Number of Distinct Observations 1 15----------------------------- irst QSuartile 0.003

Median1 0.007

_________ -Third_ Quartile1 0.0223

SDI 0.0108

Skewness, 0.708

Critical Values for Background Threshold Values (BTVs)Tolerance Factor K (For UTL)I 1.926

_ _ _ _ -- I _d2max (for USL) 2.557

Normal GOF TestShapiro Willk Test Statistic:. 0.869 --- -

5% Shapiro Wilk Critical Value 0.90)5- " Shapiro Wilk GOF Test

Data Not Normal at 5%Significance Level

I A I B I C D E I F I G I H I J I K I L151

152

153

156

157

158

159

160

161

162

163

164

165

166

167

168

Lilliefors Test Statistic 0.24 Lilliefors GOF Test5% Lilliefors Critical Valuet 0.198 Data Not Normal at 5% Significance Level



95% UTL with 90% Coverage -- 0O.28----..

-- ~~~95% UPL (t) 0.0311---------

95% USL 0.0396



99% Percentile (z), 0.0371

Gamma Statistics


Cannot Compute Gamma Statistics!

Cannot Compute Log Statistics -~___________ _____________________________


Donatamdentri follow aLimseornil Distgributind (0.05)dVaue169

170 Nonparametric Upper Limits for Background Threshold Values

171

172

173

174

175

Order of Statistic, rIApproximatef

20 95% UTL with 90% Cove rage 10.035Confidence Coefficient (cCC)-achieved by UTLJ 0.8782.222

95% Percentile Bootstrap UTL with 90% Coverage 0.03595% UPL 0.0346

90% Chebyshev UPL, 0.0452

95% BCA Bootstrap UTL with 90% Coverage 0.035 -

..... 90% Percentile 0.0261


99% PercentileI 0.0335176

177

95% Chebyshev UPLJ 0.0602!

95% USL'0.035

1'78179 Note: The use of USL to estimate a BTV is recommended only when the data set represents a background




183

184 Year1 0

185

186 General Statistics

187

188

189

190

191

192

193

194

195

196

197

198

199

2O00

Total Number of Observationsl 20Minimum 0

Second Largest 0.088

Maximum 0.1

Number of Distinct Observations~ 13

First Quartile1 0

___________________ Medianj 0.0065


SD 0.0312

Skewnessj 1.47Mean

Coefficient of Variation0.02231.403

Critical Values for Background Threshold Values (BTVs)Tolerance Factor K (For UTL) 1-•.9-26 - d2max (for USL)1 2.557

Normal GOF Test- Shapiro Wilk Test Statisticl0.744 -

5% Shapiro Wilk Critical Value' 0.905

.... .Li-lie fors sTests Statisti•c 0.291

Shapiro Wilk GOF TestData Not-iNormal at 5%,/ Signifcance Level

Lilliefors GOF Test

I A I B I c D E I F I G I H I ' I J I K I L201202

203

204

205

206

207

208

209

210

211

212

213

214

215

216

217

218

219

220

221

222

223

224

225

226

227

228

229

230

231

232

233

234

i235

236

237

238

239

240

241

242

243

244

245

246

247

248

249

250

5% Lilliefors Critical Value 0.198 iData Not Normal at 5% Significance LevelData Not Normal at 5% Significance Level

-- - - - Background Statistics Assuming Normal Distribution95% UTL with 90% CoverageI 0.0824

95% UPL (t)'I 0.0776

95% USL 0.102




Gamma Statistics



Cannot Compute Log Statistics




95% Percentile Bootstrap UT

Order of Statistic, ri 20 95%IUTL with 90% Coverage -- 0.1Approximate f 2.222 Confidence Coefficient (CC) achieved by UTL 0.878

FLwith 90% Coverage~ '0.1 95% BCA Bootstrap UTL with 90% Coverage -0.1

95% UPL 0.0994 90% Percentile 0.0619

90% Chebyshev UPL 0.118 95% Percentile 0.0886

95% Chebyshev UPL 0.162 99% Percentile1 0.0977

95% USL 0.1


data set free of outliers and consists of observations-collected from clean unimpacted locations.



Year1 0.3

General Statistics

Total Number of Observatin 20 1Minimumi 0

___~ Second LargestI 0.047 - _ _

Maximum' 0.075 I

• Mean-l 0.0172

Coefficient of Variationi 1.149

- Critical Values for Background Threshold Values (BTV

Tolerance Factor K (For UTL)i1.9)26 ]-----------

Number of Distinct ObservationsT 14


Median 0.009

Third Quartile' 0.026

SD 0.01 97

SkewnessI 1.608

's) - - - - - __

d2max (for USL) 2.557-

Shapiro Wilk Test Statistic~5% Shapiro Wilk Critical Value~

Lilliefors Test Statistic1

5% Lilliefors Critical Value1

Normal GOF Test0.809 .Shapiro Wilk GOF Test

0.905 Data Not Normal at 5% Significance Level

0.198 Lilliefors GOF Test

0.198-------Data appear Normal at 5% Significance Level

I A I B I C 0 E I F I G I H I I J I K I L251

252

253

254

255

256

257


Background Statistics Assuming Normal Distribution95% UTLwith 90% Coverage' 0.0551

95% UPL(t) 0.021

95% USL 0.0675-

- 90% Percentile (z) 0.042495% Percentile (z) 0.0496


Gamma Statistics258259

260

261

262


Cannot Compute Gamma Statistics!


-~Nonparametric Distribution Free Background Statistics



Order of Statistic, rI 20___Approximate f1 2.222

95% Percentile Bootstrap UTL with 90% CoverageI 0.075

95% UPL} 0.0736


Confidence Coefficient (CC) achieved by UTL 0.878.

95% BCA Bootstrap UTL with 90% Coverage 0.075

~90% Percentile 0.0407



90% Chebyshev UPL

95% Chebyshev UPL

0.0777

0.105

95% USL}0.075





28 eneral 0 tais5 c

~4 JGeneral Statistics

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Minimum 0

--S-e-cond Largest' 0.041

Maximum1 0.059

Number of Distinct Observations' 13


Median 0.006


-SD 0.0169

Skewness 1.33Mean' 0.0147

Coefficient of-Varaton 1...1 .55

Critical Values for Background Threshold Values CBT=Vs)Tolerance Factor K (For UTL) 1.926[ d2max (for USL) 2.557

Normal GOF TestShapiro Wilk Test Statiisicl 0.796

5%Shair WikCiiaaue• 0.905 Data

-- " Lill-ief-ors Test Statistic! 0,295_ 5%/ Li~lliefors CriticalV~alue 0.10_98_i Data


Shapiro Wilk GOF Test


Lilliefors GOFI Tlest -...

Nlot Normal at 5% Significance Level

I A I B I C I D I E I F I G I H I I J I K I L301302

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Background Statistics Assuming Normal Distribution-95% UTL w~iith • / 90 overage -- .0.047-2... ............. ........... . .

95% UPL (t) 0.0446

95% USL 0.0579

Gamma Statistics ___










Order of Statistic, r 20 19:______ ___ ____ ____ Approximate 1f 2.222 1 - -Confidence Coel

95O% Percentile Bootstrap UTL with 9-0% Coverrage~l 0.059 95% BCA Bootstl

95% UPL! 0.0581



95% USLJ 0.059 1 -_

5% UTL with 90% CoverageI 0.059fficient (CC) achieved by UTLI 0.878

rap UTL with 90% CoverageI 0.059


- - 95% oPercentilej 0.0419






Year1 0.8

General Statistics


Minimum 0


Maximum 0.131

Mean 0.•0168

Coefficient of Variation 1.748__ _ _ _I F

Number of Distinct ObservationsI 14

_____ - First Quartile! 0.001 75

Median 0.0045

Third Quartile i0.0245

SDI 0.0293

Skewness. 3.409


Tolerance Factor K '(For UTl)l~i 1.926 -[___

Normal GOF Test

Shapiro Wilk Test Statistic 0.557......-____"5% Shapiro Wilk Critical Value' 0.905 .Data

Lilliefors Test Statistic1 0.284

5% Lilliefors CriticalIValue 0.198 Data



Shapiro Wilk GOF Test


Lilliefors GOF Test


350

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Background Statistics Assuming Normal Distribution95% UTL with 90% Coverage: 0.0732 i... 90% Percentile (z)7

* 95% UPL (t) 0.0686 - 95% Percentile (z)

95% USL 0.091-6-I..... 99% Percentile (z)

0.05430,0649

Gamma Statistics




Nonparametric Distribution Free Background StatisticsData do not follow a Discernible Distribution (0.05)

Nonparametric Upper Limits for Background Threshold ValuesOrder of Statistic. r 20

95% Percentile Bootstrap UTL

Approximate f 2.222.with 90% Coverage 0.131

95% UPL 0.126

90% Chebyshev UPLi 0.107

95%/ Chebyshev UPLj 0.148

95% USLi 0.131


Confidence Coefficient (CC) achieved by UTL, 0.878

95% BCA Bootstrap UTL with 90% Coverage, 0.0437







represents a background data set and when many onsite observations n~eed to be compared with the BTV.

Year11

General Statistics


Minimum 0


Maximum 0.164

___Mean~ 0.0209


Number of Distinct Observations 16-


Median 0.0065-


SD 0.0388

Skewness 3.13

d2max (for USL) 2.-55-7Critical Values for Background Threshold Values (BTVs)

Tolerance Factor K (For UTL) -1.92•6

Normal GOF Test. . ..Shapiro Wilk Test Statistic~ 0.55 Shapiro Wilk GOF Test

5% Shapiro Wilk Critical Value, 0.905 Data Not Normal at 5% Significance Level

Lilliefors Test Statistici 0.327 Lilliefors GOF Test* _ _ __ _

5% Lilliefors Critical Vaiuel 0.198 jData Not Normal at 5% Significance-Level



A I B I C I D I E I F.I G I H I I J I K I L401% UTL with 90% Coverage1 0.0957 90% Percentile (z)' 0.0707

4295% UPL (t)J 0.0897 95% Percentile (z) 0.0848

403 .. ... ...... 95% USLI '["-0.12 .... .... .. 99% Percentile (z)i 0.111

405 Gamma Statistics

406 Gamma Statistics Not Available

407tCopt amaSatsis

408 ~Cannot Compute Lgam Statisticsl

412 Nonparametric Distribution Free Background Statistics

413 ____ ~Data do not follow a Discernible Distribution (0.05) __ __

415 _____Nonparametric Upper Limits for Background Threshold Values

-Order of Statistic, r'. 20 95% UTL with 90% Coverage 0.164416 _____ ____________________________ ________ _________________________________________

41 __ __ __Approximate fl 2.222 iConfidence Coefficient (CC) achieved by UTL 0.878

4895% Percentile Bootstrap UTL with 90% Coveragel 0.164 95% BCA Bootstrap UTL with 90% Coverage} 0.164

4995"%U-PL-- 0.16 90% Percentilel 0.0338

4090% Chebyshev UPLI 0.14 -____ -95% Percentile' 0.0899

42 _ _95% Chebyshev UPL: 0.194 j __ _ 99% Pecnie 0.149

42295% USL' 0.164




427 ~~~represents a background data set and when many onsite observations ne-ed to be compared with the BTV[-------

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IBackground Statistics for Uncensored Fuli Data SetsUser Selected OptionsI •-•.-••,cN

Date/Time of Computation 8/12/2015 10:49:43 AM

From Fiie Y:\MyFiles2\Highland\Restoration\B Wellfield\Mine Unit B NRC\Water Sampling\Water Quality Compairison\Min,

Full Precision OFF

___- Confidence Coefficient 195%

- Coverage 90%


Number of Bootstrap Operations 2000- _- _____________-

Yea r 0

General Statistics

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Total Number of ObservationsI 20Number of Distinct Observations 20

First Quartile[ 0.739Minimum! 0.282

SeonMargest 3.96 Median 1.49

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~~~Mean o ogdDt

4.89

1.7851

Third Quartilel 2.485SD! 1.287

Skewness 0.877



Mean of logged Data

0.72 10.291


Tolerance Factor K (For UTL) 1.926 d2max (for USL) 2.557

Normal GOF Test

Shapiro Wilk Test Statistic 0.916"5% Shairo Wilk C•ritical Valuei 0.-690,5-.


5% Lilliefors CriticalIValue: 0.198

Shapiro Wilk GOF TestData appear Normal at 5% Significance Level

Lilliefors GOF Test



- Background Statistics Assuming Normal Distribution

95% UTL with 90% Coverage 4.264i

95% UPL (t)~ 4.066 - _

95% USL 5.076




Gamma GOF Test

A-D Test siatisti-c 0.245 Anderson-Darling-Gamoma GOF Test

5% A-D Critical Value 0.754 Detected/data appear Gamma Distributed at 5% Significance Level-

K',etSatsi .3 Kolmogrov-Smirnoff Gamma GOF Test

5%/ -K-S Critical Value i0.196 Detectedl dlata appear Gamma Distributed at 5% Significance L~evel


Gamma Statistics

... k hat (MLE) 1.885Theta hat (MLE) 0.947 -_

nu hat (MLE). 75.38

MLE Mean (bias corrected), 1.785 --


k star (bias corrected MLE)I 1.635Theta star (bias corrected M LE) 1.092



I A I B I C I D I E I F I G H I I J I K I L51521

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95% Wilson H-ilferty (WH) Approx. Gamma UPL! 4.709 j95% Hawkins Wixley (HW) Approx. Gamma UPL• 4.897}

95% WH Approx. Gamma UTL with 90% Coverage 5.112

95% HW AIgprbox, Gamma UTL with 90% Coverage; 5.36

95% WH USLI 7

90% Percentile1 .95 Percentile•

99% Percentile

3.6434.519

6.486

95% HW USL: 7.601

Log normal GOF TestShapiro Wilk Test Statistic: 0.957 Shapiro Wilk Lognormal GOF Test

5% Shapiro Wilk Critical Value 0.905 Data appear Lognormal at 5% Significanc;e Level

Lilliefors Test Statisticj 0.152 Lilliefors Lognormal GOF Test

5% Lilliefors Critical ValueI 0.198 Data appear Lognormal at 5% Significance Level




95% UPL (t), 5.853

95% USLI 1125 l

90% Percentile (z) 3.89 1

95% Percentile (z)! 5.266




Order of Statistic, r 20 95% UTL with 90% Coveragei 4.89______-______________ ____I ___~~~---.-~~~---~~~~____ --.-..-.------ -- ____

Approximate fl 2.222 Confidence Coefficient (CC) achieved by UTL 0.878

95% Percentile B~ootstrap UTL with 90% Coveragej 4.89 95% BCA Bootstrap UTL with 90% Coverage -4.89

95% UiPL_ 4.844 90% Percentile 3.402

______ ___ 90% Chebyshev UPLl 5.742 95% Percentile! 4.007

95% Chebyshev UPLI 7.534 -. 99% Percentile 4.713

95% USLI 4.89




•a represents a background data set and when many onsite observations need to be compared with the BTV.

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Year .3

General Statistics

Total Number of Observations! 20Minimum! 0.339-

Second Largest' 4.34

Maximum:. 7.75 -

Mean• 2.289 ,

Coefficient of Variation 0.752! -


Number of Distinct Observations

First Quartile

Median

Third Quartile

SD

Skewness

SD of logged Data}

1.1732.01

3.118

1.722

1.762

0.78

19

-Critical Values for Background Threshold Values (BTVs)Tolerance Factor K (For. UTL) 1.926 IId2max (for USL)I 2.557

Normal GOF Test

I A I B I C I D E F I G I H I I J I K I L101

102

103

104

105

106

Shapiro Wilk Test Statistic, 0.846 -

5% Shapiro Wiik Critical Value 0.905


5% illiefors CriticalIValue! 0.198

Data Not Normal at 5% Slgnifical

Background Statistics Assuming Norrm

Sihapiro Wilk GOF Test


Lilliefors GOF Test


nce Level

hal Distribution

90% Percentile (z)i 4.496

95% Percentile (z)- 5.122

99%/oPercentile-(z) 6.296

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95% UTL with 90% Coverage] 5.606-. 95% UPL(t) 5.341

95% USL 6.693

Gamma GOF TestA-D Test Statistic 0.27.71 Anderson-Darling Gamma GOF Test

5% A-D Critical Value 0.752 Detected data appear Gamma Distributed at 5% Significance Level

K-S Test Statistic' 0.139 Kolmogrov-Smirnoff Gamma GOF Test

5% K-S Critical Value 0.196 i Detected data appear Gamma Distributed at 5% Significance Level


Gamma Statistics

k hat (MLE)i 2.061- -Theta hat (MLE) { 1,111 TI

nu hat (MLE) 82.42

MLE Mean (bias corrected)I 2.289


95% Wilson Hilferty (WH) Approx. Gamma UPL f 5.832

95% Hawkins Wixley (HW) Approx. Gamma UPL 6.019

95%W.H Approx. Gamma UTL with 90%_Coverage~ 6.313

95% HW Approx. Gamma UTL with 90% Coverage1 6.563

95% WH USL 8.557

k star (bias corrected MLE)' 1.785heta star (bias corrected MLE)' 1.283

nu star (bias corrected)i 71.39

MLE Sd (bias corrected)' 1.713


-~95% Percentilei/ 5.631

99% Percentile' 7.993

95% HW USL.j 9.181

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Log normal GOF TestSshapiro-Vilk Test Statistic 0.967 -- ______Shapiro Wilk Lognormal GOF Test

5% Shapiro Wilk Critical Value 0.905 - Data appear Lognormal at 5% Significance LevelLilliefors Test StatisticI 0.144-... Lilliefors Lognormal GOF Test

5% Lilliefors Critical Value! 0.198 f Data appear Lognormal at 5% Significance Level


____ _____-~ -Background Statistics assuming Lognormal Distribution

95% UTL with 90% CoverageI 7.908 ________ - 90% Percentile (z) 4.785

__________ __- - 95% UPL (t) 7.012 95% Percentile (z) 6.35195% USL 12.93 - 99% Percentile (z) 10.8


- - Data appear Gamma Distributed at 5% Significance Level

_____-- Nonparametric Upper Limits for Background Threshold Values

O3rder of Statistic, r' 20 95% UTL with 90%/ Coverage! 7.75

Approximate fi 2.222 i-- Confidence Coefficient (CC) achieved by UTL7 0.878_________o____95% Percentile Bootstrap UTL with 90%/ Coveragei 7.75 95% BCA Bootstrap UTL with 90% Coverage1 7.75

I A I B I c I D I E I F I G I H I I J I K I L95% UPL 7.58 I

90% Chebyshev UPL] 7.584


95% USL 7.75

90% Percentile• 3.95395% PercentiieI 4.511





Yea r .4

General StatisticsGeneral Statistics Total Number of Observations 20 lF

Minimum 0.522Second Largest 5.64

Maximum 7.97

Meant 2.928 __________

Coefficient of Variation' 0 .656~

Mean of logged DataI 0.853

Number of Distinct ObservationsI 20_____First Quartile i 1.538

Median• 2.52

Third QuartileISD

Skewness

3.7381.921

1.064


Critical Values for Background Threshold Values (BTVs)-Tolerance Factor K (For UTL)' 1.926 d2max (for USL)I 2.557

Normal GOF Test

Shapiro Wilk Test Statistic 0.904 Shapiro Wilk GOF Test

5% Shapiro Wilk Critical Value 0.905 iData Not Normal at 5% Significance Level

Lilliefors Test Statistic: 0.206 Lilliefors GOF TestData Not Normal at 5% Significance Level

5% Lilliefors Critical Valuei 0.198


Background Statistics Assuming Normal Distribution95% UT-L with 90% CoverageI 6.627i

95% UPL(t)I 6.331{ _______ _

95% USLI 7.838!



99% Percentile (z)j 7.396

Gamma GOF Test

A-D Test StatisticI 0.333 -- Anderson-Darling Gamma GOF Test

5% A-D-Criial alue,-: 0.75 1 Detected data appear Gamma Distributed at 5% Significance Level

K-S Test Statistic! 0.139 -_ Kolmogrov-Smirnoff Gamma GOF Test

5% K-S Critical Value. 0.1961 Detected data appear Gamma Distributed at 5% Significance Level


Gamma Statistics... khat (MLE)I 2.417

-- Theta hat (MLE) 1.211nu hat CMLE) 96.68

MLE Mean (bias corrected) 2.928. . . .. . . L

k kstar (bias corrected MLE)f 2.088Theta star (bias corrected MLE) 1.402

- l nustar (bias corrected)1 8,3.5 1

MLE Sd (bias corrected)l 2.026


I A I B I C 0 E I F I G I H I I J I K I L201 95%o Wilson Hilferty (WH) Approx. Gamma UPL' 7.093 90% Percentile 5.637

202 95% Hawkins Wixley (HW) Approx. Gamma UPL 7.314 95% Percentile, 6.851

203 95%, WH Approx. Gamma UTL with 90% Coveragei 7.643 99% Percentile' 9.537

204 95% HW Approx. Gamma UTL with 90% Coverage 7.934

205 95% WH USL 10.19 1 ~95% HW USL 10.89

207 ________________________ Lognormal GOF Test

208 ___Shapiro Wilk Test Statistic1 0.958 iShapiro Wilk Lognormal GOF Test

209 5% Shapiro Wilk Critical Value I 0.905 Data appear Lognormal at 5% Significance Level

'210 Lilliefors Test Statistic 0.184 Lilliefors Lognormnal GOF Test

211 5% Lilliefors Critical Value. 0.198 Data appear Lognormal at 5% Significance Level

212 Data appear Lognormal at 5% Significance Level

213 ___________ _______________________________214 Background Statistics assuming Lognormal Distribution

215 95% UTL with 90% Coverage}9.377 90 ecnie(i .

21..6 95% UPL (t) 8.393 _...95% Percentile (z) 7.661

217 95% USL 14.76 I 99% Percentile (z) 12.51

2189_____- Nonparametric Distribution Free Background Statistics - _

220 Data appear Gamma Distributed at 5% Significance Level

2211

22..21 Nonparametric Upper Limits for Background Threshold Values

223 _ Order of Statistic, r 20 195% UTL with 90% Coverage 7.97

224 . Approximate f 2.222 Confidence Coefficient (CC) achieved by UTL 0.878

225 95% Percentile Bootstrap UTL with 90% Coverage 7.97 '•95% BCA Bootstrap UTL with 90% Coveragel 7.97

226 95% UPL 7.854 iI90% PercentileP 5.289


228 95% Chebyshev UPL 11.51 99% Percentile~ 7.527

229 95% USL~ 7.9 _______________

230



233 The use of USL tends to provide a balance between false positives and false negatives provided the data-


235_____________236 Year10

237

28General Statistics

239 Total Number of Observations' 20 Number of Distinct Observations. 20

20Minimum 0.032 First Quartile Y0.71

,241 Second Largest~ 5.68 Median]I 2.275

242 _ Maximum 5.84 Third Quartile' 3.61

243 Mean 2.326 SDj 1.878

24.•4 Coeffi~cient of Va riationl 0.808 Skewnessi 0.549245 ___Mean of logged Data' 0.2-97- -....... ...... SD of logged Data7 1.359

247 Critical Values for Background Threshold Values (BTVs)

248Tolerance Factor K(For UTL)'i 1"2-d a--•U~ .5

249

250 Normal GOF Test

I A I B I C I D I E I F ] G I H I I J I K L

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Shapiro Wilk Test Statisticl 0.91 ] Shapiro Wilk GOF Test5%Shapiro Wilk Critical Valuei 0.905 Data appear Normal at 5% Significance Level

Lillie-fors Test Statisticl 0.183 .......... Lilliefors GOF Test

5% Lilliefors Critical Value 0.9_8 Data appear Normal at 5% Significance Level




95% UPL (t) 5.653

95% USL 7.127

90% Percentile (z) I95 Pretle z

95% Percentile (z)

4.732

5.415

6.695

Gamma GOF Test

A-D Test Statistic 0.419 L_______Anderson-Darling Gamma GOF Test

5% A-D Critical Value 0.767 [ Detected data appear Gamma Distributed at 5% Significance Level

K-S Test Statistic 0.1.63 | Kolmogrov-Smirnoff Gamma GOF Test

5% K-S Critical Value 0.199f Detected data appear Gamma Distributed at 5% Significance Level


Gamma Statistics

kha(ME 1.05


nu hat(MLE)! 41.99

MLE Mean (bias corrected)i 2,326

k star (bias corrected MLE) 0.926Theta star (bias corrected MLE)1 2.513

nu star (bias corrected)• 37.02

MLE Sd (bias corrected)! 2.417

Background Statistics Assuming Gamma Distribution95% Wilson Hilferty (WH) Approx. Gamma UPL', 7.538 90% Percentile 5.458•

95% Hawkins Wixley (MW) Approx. Gamma UPL 8.301 95% Percentile 7.161

5% WH Approx. Gamma UTL with 90% Coverage 8.33 99% Percentilel 11.1495

vb% I-W Approx. G3amma UTL with 90%/ Coverage 9.31

95%WHUL 2.1495% HW USL_ 14.42

Lognormal GOF TestShapiro Wilk Test Statistic! 0.872 :Shapiro Wilk LognormaI-GO)F Test

5% Shapiro Wilk Critical Value~ 0.905 ;Data Not Lognormal at 5% Significance Level

Lilliefors Test Statisticj 0.195 - Lilliefors Lognormat GOF Test

5% Lilliefors Critical Value -- 0.198 iData appear Lognormal at 5% Significance Level

Data appear Approximate Lognormal at 5% Significance Level

-Background Statistics assuming Lognormal Distribution95% UTL with 90% Coverage 1-8.43

95% UPL (t)! 14.95

- 95% USL 43.42



90% Percentile (z) 7.67995% P5ercentile (z)• 12.58

99%erenie(-z) 31.76--

Nonparametric Upper Limits f-or Backgr~ound Threshold Vkiues ........... ........

Order of Statistic, rIl 20 95% UTLwith 90% Coverage

Approximate fI 2.222 Confidence Coefficient (CC) achieved by UTL -

p UTL with 90% Coverage -5.84 - ! 95% BCA Bootstrap UTL with 90% Coverage-i

5.84 -

0.878

5.84.95%, IPercentile Bootstra

I A I B I C 0 E I F [ G I H I I J K I L301

302

95% UPL•90%/ Chebyshev UPLV

95% Chebyshev UPL[

95%iU~

5.832

8.099

10.71

5.84

90% Percentilej95% Percentilei

99% Percentile]

4.9695.688

5.81

1304

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YearlO0.3

General Statistics

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Total Number of Observations 20 -

Minimum: 0.137

Second Largest7 4.04

Maximumi 6.42

Mean1 1.909

Coefficient of Variation 1 0.854

Mean of logged Data' 0.271

Number of Distinct Observations] 19First QuartileI 0.741

Median 1.19


SD 1.63

Skewness 1.294



Tolerance Factor K (For UTL)] 1.926 d2max (for USL)V 2.557

Normal GOF Test

Shapiro Wilk Test Statistic 0.865% Shapiro Wilk CriticalIValuel 0.905 1 -

Lilliefors Test Statistic 0.22 F

5% Lilliefors CriticalIValuel 0.198

Data Not Normal at 5% Significance

Background Statistics Assuming Normal

__ Shapiro Wilk GOF TestData Not Normal at 5% Significance Level

Lilliefors GOF Test


Level

Distribution

90% Percentile (z) t 3.999

95% Percentile (z)[ 4.591

99% Percentile (z)! 5.702

95% UTL with 901% Coverage 5.0595% UPL (t)] 4.798

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95% USL 6.078

Gamma GOF TestA-D Test Statisticl -0.:332 A[,nderson-Darling Gamma GOF Test

5% A-D Critical Valuel 0.758 - Detected data appear Gamma Distributed at 5% Significance Level_____________________________ . __________.. . ._____________........__________


5% K-S Critical Value, 0.198'[ Detected data appear Gamma Distributed at 5% Significance Level


Gamma Statisticsk hat (MLE)i 1.475

Theta hat (MLE) i 1.294

nu hat (MLE)1 59.

M-LE Mean (bias corrected)I 1.909,

k star (bias corrected MLE) 1.287Theta star (bias corrected MLE) 1.483

nu star (bias corrected): 51.48



B I C I D I E I F I G I H I IJ ~J K I L95% Wilson Hilferty (WH) Approx. Gamma UPLi 5.465

95% Hawkins Wixley (HW) Approx. Gamma UPLi 5.701

95% WH Approx. Gamma UTL with 90% Coveragei 5.979

95%/ HW Approx. Gamma UTL with 90% CoverageI 6.297

95% WH USL' 8.415

90% Percentile:,95% Percentile

99% Percentile

4.1315.238

7.765

95% HW USL 9.232

Lognormal GOF TestShapiro Wilk Test Statistic 0.966 iShapiro Wilk Lognormal GOF Test



5% Lilliefors Critical Value 0.198 Data appear Lognormal at 5% Significance Level

Data appear Lognormal at 5% Significance Level- -------- _


95% UTL with 90% CoverageF8.213 I _____

95% UPL (t)1 7.091 I95% USLI 14.98

90% Percentile (z)~ 4.445

95% Percentile (z)I 6.283




95c,

Nonparametric Upper Limits for Background Threshold ValuesOrder of S;t-atistic,• r 20 9

•Approximate f 2.222 Confidence Coe

%;/ Percentile Bootstrap UTL with 90% Coverage 6.42 95% BCA Bootst

95% UPL 6.301



95% USL 6.42 :

)5% UTL with 90% Coverage 6.42

ifficient (CC) achieved by UTL 0.878

trap UTL with 90% Coverage -6.42






The use of USL tends to provide a balance between false positives and false negatives provided the data-


Year1 0.5

General Statistics

Total Number of Observations -20- . .

Minimum 0.0675

Second Largest 4.16.

Maximum! 6.36 --

Mean 1.984


Mean of logged Dat-a -0.236-

Critical Values for Background Threshold Values (BTVS)

Tolerance Factor K (For UTL) 1.... 1926 I- _______

Number of Distinct ObservationsFirst Quartile

Median

Third Quartile'

SD:,

Skewness:

SD of logged Data1~

19

0.735

1.61

2.678

1.649

1.09

1.142


Normal GOF Test

I A I B I C I 0 E I F I G I H I I J I K I L401

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Shapiro Wilk Test Statistic 0.902 Shapiro Wilk GOF Test5% Shapiro Wilk Critical Value 0.905 Data Not Normal at 5% Significance Level


5% Lilliefors Critical Value1 0.198 Data appear Normal at 5% Significance Level

Data appear Approximate Normal at 5% SIgnificance Level

Background Statistics Assuming Normal Distribution95% UTL with 90% Coverage! 5.159] ____

95% UPL (t) 4.905-_____

___95%__USL 6.199

90% Percentile (z)[95% Percentile (z)!

99% Percentile (z)!

4.097

4.696

5.819

Gamma GOF Test

A-D Test Statistic 0.115 KoAnderson-Darirngf Gamma GOF Test

5% A-D Critical Valuel 0.763 Detected data appear Gamma Distributed at 5% Significance LevelK-S Test Statistic' 0.115 Kolmogrov-Smirnoff Gamma GOF TestI _______________________________ ___


Detected data appear Gamma Distributed at 5% SignIficance Level

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423

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425

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427

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429

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Gamma Statistics

k hat (MLE) 1.254

Theta hat (MLE) 1.582nu hat (MLE)I 50.17

MLE Mean (bias corrected)1 1.984

k star (bias corrected MLE)

Theta star (bias corrected MLE)

nu star (bias corrected)

MLE Sd (bias corrected)

1.099

1.805

43.98

1.892

Background Statistics Assuming Gamma Distribution95% Wilson Hilferty (WH) Approx. Gamma UPL! 6.028..

-- 95% Hawkins Wixley (HW) Approx. Gamma UPL! 6.46695% WH Approx. Gamma UTL with 90% CoverageI 6.625

95% HW Approx. Gamma UTL with 90% Coverage~ 7.194

95% WH USL] 9.481

90%_Percentile] 4.463-


99% Percentile~ 8.715

Lognormal GOF T~est

95% HW USL! 10.83

433

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43._6

437

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44C

441

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447

448

449

45(0

Shapiro Wilk Test Statistic 0.929 Shapiro Wilk Lognormal GOF Test5% Shapiro Wilk Critical Value] 0.905 -- Data appear Lognormal at 5% Significance Level

Lilliefors Test Statistic 0.15 - Liiiefors Lognormal GOF Test

- 5% Lilliefors Critical Value] 0.198 I Data appear Lognormal at 5% Significance Level



95% UTL with 90% Coverage i11.3

95% UPL (t)~ 9.587

95% USLV 23.5


95% Percentile (z) -8.293

99% Percentile (z) 18.06!

N-Io-n-pararetric Distribution Free Background StatisticsData appear Approximate Normal at 5% Significance Level

Nonparametric Upper Limits for Background Threshold ValuesOrder of Statistic, r 20 95% UTL with 90% Coveragel

- - -Approximate f] 2.222 Confidence Coefficient (CC) acl~ievedJ by UTL

95%Y Percentile Bootstrap UTL with 90% Coverage~ 6.36 ,95% BCA Bootstrap UTL with 90% Coverage

6.36

0.878

6.36 ..

I A I B I C I D I E I F I G I H I I J I K I L451

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460]

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475

95% UPL: 6.2590% Chebyshev UPL 7.052

95% Chebyshev UPL, 9.348

95% USL 6.36 -

II






Year1 0.8

General Statistics

Total Number of ObservationsJ 20 -Number of Distinct Observations;i 20Minimum! 0.229 First Quartile 0.891

Second Largesti 5.11 Median: 1.835

Maximum 7.87 Third Quartile 2.83

Mean !2.274 SD' 1.897

Coefficient of Variationi 0.834 Skewness 1.534

Mean of logged DataI 0.471 I SD of logged Data 0.927


Tolerance Factor K (For UTL); 1.926 d2max (for USL) 2.557

Normal GOF Test

476J Shapiro Wilk Test Statistic 0.863 - Shapiro Wilk GOF Test475% Shapiro Wilk Critical Value 0.905 I Data Not Normal at 5% Significance Level

478] Lilliefors Test statistic' 0.155 iLilliefors GOF Test

5% Lilliefors Critical Vahuel 0.198 i Data appear Normal at 5% Significance Level

40Data appear Approximate Normal at 5%,' Significance Level _

481

482

483

484 -

Background Statistics Assuming Normal Distribution95% UTL with 90% CoverageI 5.928

95% UPL (t)• 5.636 -•--___

95% USL 7.125



99% Percentile (z) -6.688485

486

487

488

489

490

491

492

493

494

495

496

497

498

499

500

Gamma GOF TestA-D Test Statistic 0.189 -Anderson-Darling Gammna GOF Test

5% A-D C•ritical Value 0.757 Detected data appear Gamma Distributed at 5% Significance Level

K-S Test Statistic i 0.107 -- Kolmogrov-Smirnoff Gamnma GOF Test

5% K-S-(Critical Val-ue 0.197 Detected data appear Gamma Distributed at 5% Significance Level

Detected data appear Gam-ma Distributed at 5% Significance Level

Gamma Statistics

k hat (MLE)I 1.571

Theta hat (MLE). 1.447 -___

nu hat (MLE): 62.86

MLE Mean (bias corrected)i 2.274

k star (bias corrected MLE) 1.369Theta star (bias corrected MLE)I 1:661

nu star (b~ias corrected)] 54.76

MLE Sd (bias corrected) 1.943)


A B I C I D I E I F G I H I J I K I L501,50J2

503

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511

512

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514

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527

95% Wilson Hilferty (WH) Approx. Gamma UPL 6.36295% Hawkins Wixley (MW) Approx. Gamma UPL 6.641

95% WH Approx. Gamma UTL with 90% Coveragei 6.945

95% HW Approx. Gamma UTL with 90% CoverageI 7.317 I

95% WH USL! 9.699

90% Percentile~ 4.846



95% HW USL:, 10.63

-, Lognormal GOF TestShapiro Wilk Test Statistic 0.962 Shapiro Wilk Lognormal GOF Test

5% Shapiro Wilk Critical Value. 0.905 -Data appear Lognormal at 5% Significance Level

LileosTest Statistic• 0.115 -~-Lillefors Lognormal GOF Test

5% Lilliefors Critical Valuei 0.198 Data appear Lognormal at 5% Significance Level



95% UTL with 90% Coverage~- 95% UPL (t)

95% USL

9.553i

8.281

17.14

90% Percentile (z)1 5.255

95% Percentile Cz) 7.361





Order of Statistic, r 20Approximate f 2.222 Confidenc

95% Percentile Bootstrap UTL with 90% Coveragei 7.87 95% BCA

95% UPL 7.732

90% Chebyshev UPL! 8.107

95% UTL with 90% Coverage

e Coefficient (CC) achieved by UTLI

Bootstrap UTL with 90% Coverage

90% Percentile

95% Percentile

99% Percentile

7.87

0.878

7.87

4.47 1

5.248

7.346-1528

529

530


95% USLi 7.87



5333 The use of USL tends to provide a balance between false positives and false negatives provided the data•,l represents a background data set and when many onsite observations need to be compared with the BTV.

535

536

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546

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548

549

550

Year11

General Statistics


Minimum~ 0.213-

Second Largest 4.14

Maximum~ 6.35

____________Meanl 2.057


Mean of logged Data 0.408 1


First Quartilej 0.801

Medianl 1.835

Third Quartile' 2.643

'SD 1.573

Skewness 1.173

SD of logged Data= 0.873

Critical Values for Background Threshold Values (BTVs)Tolerance Factor_ K (For UTL) 1.926 -1- .... d2max (for USL)I 2.557

Normal GOF Test -

I A I B I551

552

553

554

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560

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:573

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1578

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597

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599

600

c I D I E I F [ G I H I I J I KShapiro Wilk Test Statistic1 0.896 Shapiro Wilk GOF Test"


Lilliefors Test Statistic 0.135 -Lilliefors GOF Test

5% Lilliefors Critical Value[ 0.198 Data appear Normal at 5% Significance Level


I L


95% UTL with 90% Coverage~ 5.087

95% UPL (t)j 4.845

95% USL {6.079

90% Percentile (z)

95% Percentile(z

99% Percentile (z)j

4.0734.645

5,717

Gamma GOF Test-A-D Test Statistic 0.241 Anderson-Darling Gamma GOF Test

-5% A-D Critical Value 0.755 Detected data appear Gamma Distributed at 5% Significance Level

K-S Test Statistic 0.133 IKolmogrov-Smirnoff Gamma GOF Test

_____-~-5% K-S Critical Value 0.197 I Detected data appear Gamma Distributed at 5% Significance Level


Gamma Statistics

k hat (MLE)' 1.744

Theta hat (MLE) -1.179

nu hat (MLE) 69.76

MLE Mean (bias corrected) 2.057



__ nu star (bias corrected) -60.63

MLE Sd (bias corrected) i 1.67

Background Statistics Assuming Gamma Distribution95% Wilson H-ilferty (WH) Approx. Gamma UPL -- 5.564

95% Hawkins Wixley (HW) Approx. Gamma UPL 5.797

95% WH Approx. Gamma UTL with 90% Coverage 6.054

95% HW Approx. Gamma UTL with •90% Coverage 6.362

95% WH USL 8.359




95%HW USE] 9.115

Lognormal GOF TestShapiro Wilk Test Statistic!l 0.966 Shapiro Wilk Lognormal GOF Test



5% Lilliefors Critical Value I 0.198 Data appear Lognormal at 5% Significance Level____________________ ~~~~~~~~~~~~I __________ _________ _________ ____

Data appear Lognormal at 5% Significance Level-_____ ___

Background Statistics assuming Lognormal Distribution95% UTL with -90% Coverage 8.075....

-95%LUPL (t)1 7.058

95% USLi 14



9%Percentile (z)

95% Percentile (z)

99% Percentile (z)

4.60 1

6.318

11.45

- Nonparametric Upper Limits for Background Threshold ValuesOrder of Statistic, r& 20 9-!_____

- Approximate f 2.222 Confidence Coel

with 90% Coveragei 6.35 - 5%BCA Bootsti

5% UTL with 90% Coverage, 6.35?ficient (CC) achieved by UTL - 0.878

ra ULw~~iih~ 90%/ C-overage/ 6.3595% Percentile Bootstrap UTL

I I A I B I C I D I E I F I G I H I I I J I K I L

601_. _____-5% UPLI, '6.24 !90% Percentile! 3.978602 .90% Chebyshev UPL. 6.894 95% Percentile 4.251

60:3 95% Chebyshev UPLi 9.085 -~99% Pecnie_ 5.93

604 -- 95% UJSL 6.351 _



608 -. The use of USL tends to provide a balance between false positives and false negatives provided the data -__


610,

theta hat (mle) 0.0667 theta star (bias corrected mle) 0 · lilliefors test statistic 0.109...

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