MACT New UPL for Mercury Using Pooled Variance, Corrected for Temporal Autocorrelation with Intraquarry Variability 

Runs

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

ni = number runs =

ni-1
= sum of (ni-1) 29

means

Mean 8.48

n to be used with 1 source= ni 30

m= number future runs = 30

t-statistic = quantile t-distribution with df degrees of freedom at .99 confidence level =

Assuming Correlated variables

correlation =correl(data-last,data - first obs)

Stdev= 1.70801395

Variance data = 2.91731166

adjustment for temporal correlation= 3.47252932

intra quarry variance= 23.633803

adjustment for temporal correlation= 31.7662533

total variance 35.2387826 *** defined as variance of data + int

*** if the data in columns Oto Q are 

*** defined as sdev^2

*** defined as before variance* (1+

*** defined as (RSD*Mean)^2
Variance = Variance pooled, intraquarry data adjusted for temporal correlation 35.239

SQRT(Variance*(1/n+1/m)) 1.533

UPL-- source mean and variance pooled data, including intraquarry variability 12.25

Recall the formula for the variance is N is the number of sampling units u

Calculated limits in concentration basis: 3.63

Rounded-up limit in concentration basis: 3.7

2 1 1

s

N m

    

 
on with Intraquarry Variability 

MACT 

NewKiln 

1589

0.29

7.96

8.88

8.44

9.33

8.69

8.44

10.71

8.44

8.44

8.44

8.44

8.44

10.43

8.44

8.66

8.46

8.44

8.44

8.44

8.44

8.44

8.48

9.76

10.90

8.44

8.44

8.44

8.30

8.45

30

29

Emissions (lb/ton feed)
8.48

#source mean = mean of source means

 freedom at .99 confidence level = 2.46202135 =tinv((1-.99)*2,df)

0.19031825

Revised 3 quarry, intraquarry variability RSD= 0.57

** defined as variance of data + intra quarry variance

** if the data in columns Oto Q are the intraquarry data, we can calculate the temporal correlation there and use it for the adjustment of 

** defined as sdev^2

** defined as before variance* (1+corr)

** defined as (RSD*Mean)^2
lb/MM tons feed

 is the number of sampling units used in the sample: in this case the number of data points

ug/dscm
Kiln ID # 1239 1248 1376

0.0795 0.0265

0.0233 0.02 0.0197

0.0296 0.0212 0.0214

0.0245 0.02 0.0326

0.02 0.0225 0.0225

0.0495 0.02 0.02

0.0462 0.02 0.0337

0.0315 0.0263 0.0365

0.0264 0.02 0.0344

0.0294 0.02 0.0313

0.0263 0.02 0.0312

0.0242 0.02 0.028

0.0407 0.02 0.0317

0.0309 0.0256 0.0207

0.0235 0.02 0.0274

0.0295 0.0206 0.0263

0.0673 0.02 0.0211

0.0625 0.02 0.0177

0.0624 0.02 0.0318

0.0899 0.02 0.0246

0.0835 0.02 0.0289

0.122 0.02 0.0232

0.0998 0.02 0.0292

0.0991 0.0237 0.0302

0.109 0.0269 0.036

0.13 0.02 0.0291

0.104 0.02 0.0296

0.0589 0.02 0.0265

0.0729 0.02 0.0257

0.0856 0.02 0.0255

Daily Mercury Concentrations (ppm) in Limestone by Quarry
Avg 0.0594 0.021 0.027 0.036

Stdev 0.021

RSD 0.573303

correlation 0.8052 -0.0011 0.2282 0.3441

nv((1-.99)*2,df)

here and use it for the adjustment of the intraquarry variance
MACT Existing UPL for Mercury Using Pooled Variance, Corrected for Temporal Autocorrelation with Intraquarry Variability

Emissions (lb/ton feed)

Runs Kiln ID 1248 Kiln ID 1559

1 0.32 15.62

2 15.53 40.66

3 17.43 16.20

4 16.57 31.05

5 18.30 25.67

6 17.06 29.44

7 16.57 28.05

8 21.00 55.73

9 16.57 53.74

10 16.57 25.80

11 16.57 14.91

12 16.57 13.23

13 16.57 22.05

14 20.45 32.64

15 16.57 30.95

16 16.99 30.88

17 16.60 29.73

18 16.57 23.10

19 16.57 26.32

20 16.57 23.67

21 16.57 27.93

22 16.57 12.36

23 16.65 23.96

24 19.14 12.20

25 21.37 22.80

26 16.57 21.37

27 16.57 42.21

28 16.57 24.92

29 16.30 23.07

30 16.58 2.12

31

32

33

34

35

ni = number runs = 30 30

ni-1 29 29

= sum of (ni-1) 87
means 16.63 26.08

Mean 17.06

N = Number sources= 3

m= number future runs = 30

t-statistic = quantile t-distribution with df degrees of freedom at .99 confidence level =

Assuming Correlated variables

correlation =correl(data-last,data - first obs)

correlation of each kiln = 0.20273792 0.23987665

Pooled stdev= 4.89546605

Variance data = 23.9655879

adjustment for temporal correlation= 29.0217903

intra quarry variance= 95.6875363

adjustment for temporal correlation= 128.613855

total variance 157.635645

*** if the data in columns Oto Q are 

*** defined as sdev^2

*** defined as before variance* (1+

*** defined as (RSD*Mean)^2
Variance = Variance pooled, intraquarry data adjusted for temporal correlation 157.635645

SQRT(Variance*(1/n+1/m)) 7.6026138

UPL-- source mean and variance pooled data, including intraquarry variability 35.0805634

Calculated limits in concentration basis: 10.40

Rounded-up limit in concentration basis: 11
ation with Intraquarry Variability

Kiln ID 1589

0.29

7.96

8.88

8.44

9.33

8.69

8.44

10.71

8.44

8.44

8.44

8.44

8.44

10.43

8.44

8.66

8.46

8.44

8.44

8.44

8.44

8.44

8.48

9.76

10.90

8.44

8.44

8.44

8.30

8.45

30

29
8.48

#source mean = mean of source means

#because UPL is based on source means

 freedom at .99 confidence level = 2.36997675 =tinv((1-.99)*2,df)

0.19031825

Revised 3 quarry, intraquarry variability RSD= 0.57

** if the data in columns Oto Q are the intraquarry data, we can calculate the temporal correlation there and use it for the adjustment of 

** defined as sdev^2

** defined as before variance* (1+corr)

** defined as (RSD*Mean)^2
#calculated as variance*(1+average(temporal correlation))

lb/MM tons feed

ug/dscm
Kiln ID # 1239 1248 1376

0.0795 0.0265

0.0233 0.02 0.0197

0.0296 0.0212 0.0214

0.0245 0.02 0.0326

0.02 0.0225 0.0225

0.0495 0.02 0.02

0.0462 0.02 0.0337

0.0315 0.0263 0.0365

0.0264 0.02 0.0344

0.0294 0.02 0.0313

0.0263 0.02 0.0312

0.0242 0.02 0.028

0.0407 0.02 0.0317

0.0309 0.0256 0.0207

0.0235 0.02 0.0274

0.0295 0.0206 0.0263

0.0673 0.02 0.0211

0.0625 0.02 0.0177

0.0624 0.02 0.0318

0.0899 0.02 0.0246

0.0835 0.02 0.0289

0.122 0.02 0.0232

0.0998 0.02 0.0292

0.0991 0.0237 0.0302

0.109 0.0269 0.036

0.13 0.02 0.0291

0.104 0.02 0.0296

0.0589 0.02 0.0265

0.0729 0.02 0.0257

0.0856 0.02 0.0255

Daily Mercury Concentrations (ppm) in Limestone by Quarry
Avg 0.0594 0.021 0.027 0.036

Stdev 0.021

RSD 0.573303

correlation 0.8052 -0.0011 0.2282 0.3441

nv((1-.99)*2,df)

here and use it for the adjustment of the intraquarry variance