Appendix B-3

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

for North Park Monitor (AQS ID: 42-003-0093)

Pittsburgh Sites & 2008-2010 DVs & Data Capture

Site A3 

Site B3 

Site A3: 

Site B3

•Site 420030008 has, 1) the highest correlation with Site A3 (and meets the3 criteria stated here), and 2) 

sufficient paired data to establish a good relationship with site A3, and, 3) sufficient (i.e., complete) data 

available in all quarters of 2008-2010 to produce Site A3 estimates for those 12 quarters. 

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

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

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

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

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

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

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

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%

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

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%

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

Quarterly Data Capture, 2008-2010

Site B

npairsQ1 npairsQ2 npairsQ3 npairsQ4 corr

Pittsburgh-Beaver Valley, PA 420030093 420030093 10.1 inc-a 10.1 inc-a 51 46 55 53 1

Pittsburgh-Beaver Valley, PA 420030093 420030008 10.1 inc-a 12.2 A 51 46 54 51 0.962607

Pittsburgh-Beaver Valley, PA 420030093 420030067 10.1 inc-a 11.1 A 43 42 49 49 0.927968

Pittsburgh-Beaver Valley, PA 420030093 420050001 10.1 inc-a 12.1 inc-a 9 13 27 25 0.922428

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

Pittsburgh-Beaver Valley, PA 420030093 420031301 10.1 inc-a 13.3 A 48 43 54 52 0.905055

Pittsburgh-Beaver Valley, PA 420030093 421290008 10.1 inc-a 13.4 A 46 45 54 53 0.882926

Pittsburgh-Beaver Valley, PA 420030093 420031008 10.1 inc-a 13 A 48 42 47 48 0.866998

Pittsburgh-Beaver Valley, PA 420030093 421250200 10.1 inc-a 11.8 A 50 41 52 51 0.857872

Pittsburgh-Beaver Valley, PA 420030093 421250005 10.1 inc-a 12.9 A 48 45 51 51 0.851331

Pittsburgh-Beaver Valley, PA 420030093 421255001 10.1 inc-a 10.8 A 40 43 48 52 0.838068

Pittsburgh-Beaver Valley, PA 420030093 420070014 10.1 inc-a 13.1 A 47 42 50 51 0.763069

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)

Figure 9
v_a

0

10

20

30

40

v_b

0 10 20 30 40

Linear Regression Results

• The computed 420030093 (Site A3) – 420030008 (Site B3) linear relationship is:

Site A concentration = -0.65416 + 0.8871 * Site B concentration

•The linear regression is 

based on the most 

recent 5 years (1/1/2006 

– 12/31/2010) of paired 

(Site A3: Site B3) data 

•The residuals from this 

model are used in the 

subsequent 

bootstrapping

Site A3:Site B3

n = 202

R_square = 0.93

Figure 10
Imputation & Resulting Data Capture & DV Recalculation

Before

After

All quarters, 2008-2010 now complete

“Complete” DV is 10.3

All quarters of 2008 are missing and 

2009-Q1 and 2010-Q1 are deficient.

Site A3:Site B3

Incomplete DV is 10.1

Figure 11
Bootstrapping Residuals (& DV Recalculations)

• FYI Residual distribution for 420030093 (Site A3) – 420030008(Site B3) 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 A3:Site B3

Figure 12