Appendix B-4

Statistical Results of 2008-2010 Annual PM2.5 Design Value

for Moon (AQS ID: 42-003-0095)

Pittsburgh Sites & 2008-2010 DVs & Data Capture

Site A4 

Site B4 

•Site 420030008 has, 1) the highest correlation with Site A4 (and meets the3 criteria stated here), and 2) 

sufficient paired data to establish a good relationship with site A4, and, 3) sufficient (i.e., complete) data 

available in all quarters of 2008-2010 to produce Site A4 estimates for those 12 quarters. 

Site A4: 

Site B4

npairsQ1 npairsQ2 npairsQ3 npairsQ4 corr

Pittsburgh-Beaver Valley, PA 420030095 420030095 10.5 inc-a 10.5 inc-a 47 54 57 55 1

Pittsburgh-Beaver Valley, PA 420030095 420030008 10.5 inc-a 12.2 A 47 54 56 53 0.920962

Pittsburgh-Beaver Valley, PA 420030095 420030093 10.5 inc-a 10.1 inc-a 44 44 51 51 0.915864

Pittsburgh-Beaver Valley, PA 420030095 420030067 10.5 inc-a 11.1 A 40 49 51 50 0.899242

Pittsburgh-Beaver Valley, PA 420030095 420050001 10.5 inc-a 12.1 inc-a 10 13 28 26 0.870878

Pittsburgh-Beaver Valley, PA 420030095 421250200 10.5 inc-a 11.8 A 46 47 54 52 0.857176

Pittsburgh-Beaver Valley, PA 420030095 420031301 10.5 inc-a 13.3 A 45 50 55 54 0.852316

Pittsburgh-Beaver Valley, PA 420030095 421250005 10.5 inc-a 12.9 A 44 53 53 53 0.852144

Pittsburgh-Beaver Valley, PA 420030095 421255001 10.5 inc-a 10.8 A 36 51 51 54 0.85025

Pittsburgh-Beaver Valley, PA 420030095 421290008 10.5 inc-a 13.4 A 43 53 55 54 0.819315

Pittsburgh-Beaver Valley, PA 420030095 420031008 10.5 inc-a 13 A 45 46 50 49 0.789116

Pittsburgh-Beaver Valley, PA 420030095 420070014 10.5 inc-a 13.1 A 45 49 52 54 0.746519

Area Site A Site B

DV Site 

A

DV 

status 

Site A

DV Site 

B

DV 

status 

Site B

20-quarter look (2006-Q1 - 2010-Q4)

2008 Q1 2008 Q2 2008 Q3 2008 Q4 2009 Q1 2009 Q2 2009 Q3 2009 Q4 2010 Q1 2010 Q2 2010 Q3 2010 Q4

420030095 60% 94% 93% 87% 73% 87% 94% 93%

420030008 98% 97% 92% 99% 92% 100% 99% 88% 91% 98% 91% 99%

420030093 73% 94% 87% 87% 73% 87% 94% 87%

420030067 81% 93% 90% 90% 80% 90% 90% 81% 83% 93% 90% 97%

420050001 100% 98% 91% 100% 95% 96%

421250200 90% 87% 97% 87% 90% 96% 99% 92% 100% 99% 86% 100%

420031301 84% 87% 94% 93% 80% 94% 97% 84% 83% 80% 97% 87%

421250005 90% 100% 90% 93% 90% 100% 100% 100% 100% 100% 100% 100%

421255001 97% 89% 70% 95% 88% 98% 89% 98% 91% 99% 95% 97%

421290008 100% 87% 87% 100% 73% 97% 99% 100% 91% 97% 90% 100%

420031008 84% 93% 97% 77% 83% 87% 87% 74% 83% 93% 90% 97%

420070014 100% 90% 90% 97% 89% 93% 90% 96% 89% 77% 84% 100%

Quarterly Data Capture, 2008-2010

Site B

Figure 13
v_a

0

10

20

30

40

50

v_b

0 10 20 30 40

Linear Regression Results

• The computed 420030095 (Site A4) – 420030008 (Site B4) linear relationship is:

Site A concentration = -0.16428 + 0.90221 * Site B concentration

•The linear regression is 

based on the most 

recent 5 years (1/1/2006 

– 12/31/2010) of paired 

(Site A4: Site B4) data 

•The residuals from this 

model are used in the 

subsequent 

bootstrapping

Site A4:Site B4

n = 210

R_square = 0.85

Figure 14
Imputation & Resulting Data Capture & DV Recalculation

Before

After

All quarters, 2008-2010 now complete

“Complete” DV is 10.8

Site A4:Site B4

Incomplete DV is 10.5

All quarters of 2008 are missing and 

2009-Q1 and 2010-Q1 are deficient.

Figure 15
Bootstrapping Residuals (& DV Recalculations)

• FYI Residual distribution for 420030095 (Site A4) – 420030008(Site B4) linear fit

•This step randomly applies real 

residuals from the linear regression to 

the imputed current-period Site A values.

•A 1000 bootstrap runs will provide a 

pseudo confidence interval for the 

partially imputed current-period design 

value

• Bootstrap results (for a run of 1000):

• Final result:

PASS (clean data determination)

•All 1000 simulations produced a passing DV

Site A4:Site B4

Figure 16