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Volume 1 - The Atmospheric Studies Group at TRC

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MG = exp(ln( Co / Cp)<br />

VG = exp((ln( Co / Cp))<br />

2<br />

)<br />

R = (ln Co − ln Co)(lnCp<br />

− ln Cp) /( σ<br />

lnCoσ<br />

lnCp<br />

)<br />

FAC2<br />

= fraction<br />

0.5 ≤ ( Co / Cp)<br />

≤ 2<br />

geometric variance (VG), the correl<strong>at</strong>ion coefficient (R), and the fraction within a<br />

factor of two (FAC2).<br />

If Co and Cp are identical, MG is 1.0 and VG is 0. A factor of two sc<strong>at</strong>ter with no<br />

bias results in a VG of about 1.6. <strong>The</strong> minimum possible VG is rel<strong>at</strong>ed to the MG as<br />

lnVG min =(lnMG) 2 .<br />

Confidence limits gener<strong>at</strong>ed by bootstrap resampling techniques are used to assess<br />

the significance of any differences in these measures. Resampling is done in blocks<br />

th<strong>at</strong> preserve the seasonal fe<strong>at</strong>ures in each of the d<strong>at</strong>asets, as originally done in the<br />

OCD4 evalu<strong>at</strong>ions. Resampling blocks are chosen to preserve the represent<strong>at</strong>ion of<br />

each site, and seasonality (e.g., each resampled set contains 17 entries for “Cameron<br />

Winter”, which are randomly chosen with replacement from the 17 periods th<strong>at</strong><br />

comprise “Cameron Winter”). D<strong>at</strong>a from Oresund are not split. <strong>The</strong> number of<br />

periods in each block are:<br />

BLOCK<br />

Number<br />

Ventura Fall 9<br />

Ventura Winter 8<br />

Pismo Beach Summer 16<br />

Pismo Beach Winter 15<br />

Cameron Summer 9<br />

Cameron Winter 17<br />

Carpinteria Sf6 18<br />

Carpinteria Freon 9<br />

Carpinteria Fumig<strong>at</strong>ion 9<br />

Oresund 9<br />

Final Report Vol.1 60

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