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. 2008 Mar 19;46(5):1785–1792. doi: 10.1128/JCM.00787-07

TABLE 1.

Optimal master pool size and corresponding efficiency and PPV for D2, D3, and A2m in the presence of errors, for MAPS of 100a

NAAT assay specificity Prevalence PAS
0.95
0.85
0.75
D2
D3
A2m
D2
D3
A2m
D2
D3
A2m
Pool Effic. PPV Pool Effic. PPV Pool Effic. PPV Pool Effic. PPV Pool Effic. PPV Pool Effic. PPV Pool Effic. PPV Pool Effic. PPV Pool Effic. PPV
1.0 10−6 100 0.010 1.000 100 0.010 1.000 100 0.010 1.000 100 0.010 1.000 100 0.010 1.000 100 0.010 1.000 100 0.010 1.000 100 0.010 1.000 100 0.010 1.000
10−5 100 0.011 1.000 100 0.010 1.000 100 0.010 1.000 100 0.011 1.000 100 0.010 1.000 100 0.010 1.000 100 0.011 1.000 100 0.010 1.000 100 0.010 1.000
10−4 100 0.019 1.000 100 0.012 1.000 100 0.012 1.000 100 0.018 1.000 100 0.012 1.000 100 0.012 1.000 100 0.017 1.000 100 0.011 1.000 100 0.012 1.000
10−3 33 0.061 1.000 100 0.029 1.000 100 0.029 1.000 35 0.058 1.000 100 0.027 1.000 100 0.027 1.000 37 0.054 1.000 100 0.025 1.000 100 0.025 1.000
10−2 11 0.190 1.000 25 0.129 1.000 25 0.135 1.000 11 0.180 1.000 25 0.119 1.000 36 0.124 1.000 12 0.169 1.000 36 0.110 1.000 36 0.113 1.000
10−1 4 0.577 1.000 9 0.563 1.000 49 0.573 1.000 4 0.542 1.000 9 0.515 1.000 49 0.515 1.000 5 0.507 1.000 9 0.468 1.000 49 0.457 1.000
0.99 10−6 100 0.020 0.009 100 0.011 0.465 100 0.012 0.343 100 0.020 0.008 100 0.011 0.439 100 0.012 0.318 100 0.020 0.007 100 0.011 0.411 100 0.012 0.292
10−5 100 0.021 0.080 100 0.011 0.830 100 0.012 0.838 100 0.021 0.073 100 0.011 0.822 100 0.012 0.823 100 0.021 0.065 100 0.011 0.812 100 0.012 0.804
10−4 100 0.029 0.330 100 0.013 0.901 100 0.014 0.980 100 0.028 0.317 100 0.013 0.900 100 0.014 0.977 100 0.027 0.303 100 0.013 0.899 100 0.014 0.975
10−3 33 0.071 0.706 100 0.030 0.910 100 0.031 0.996 35 0.067 0.691 100 0.028 0.910 100 0.029 0.995 37 0.064 0.675 100 0.026 0.910 100 0.027 0.995
10−2 11 0.199 0.906 25 0.132 0.961 36 0.139 0.997 12 0.189 0.898 25 0.123 0.961 36 0.128 0.997 12 0.177 0.897 36 0.113 0.951 36 0.116 0.997
10−1 4 0.583 0.976 9 0.567 0.983 49 0.577 0.980 4 0.549 0.975 9 0.519 0.983 49 0.519 0.980 5 0.513 0.969 9 0.471 0.983 49 0.460 0.980
0.95 10−6 100 0.060 0.000 100 0.018 0.008 100 0.023 0.006 100 0.060 0.000 100 0.018 0.007 100 0.023 0.005 100 0.060 0.000 100 0.018 0.006 100 0.023 0.005
10−5 100 0.061 0.004 100 0.018 0.067 100 0.023 0.057 100 0.061 0.003 100 0.018 0.061 100 0.023 0.052 100 0.061 0.003 100 0.018 0.055 100 0.023 0.046
10−4 100 0.069 0.031 100 0.020 0.336 100 0.025 0.373 100 0.068 0.029 100 0.020 0.320 100 0.025 0.348 100 0.067 0.026 100 0.019 0.301 100 0.025 0.321
10−3 34 0.110 0.194 100 0.039 0.562 100 0.042 0.829 36 0.106 0.180 100 0.037 0.557 100 0.040 0.816 39 0.102 0.165 100 0.035 0.552 100 0.038 0.800
10−2 11 0.235 0.585 25 0.147 0.801 36 0.155 0.951 12 0.224 0.562 25 0.137 0.800 49 0.142 0.942 13 0.213 0.539 25 0.126 0.799 64 0.129 0.933
10−1 4 0.610 0.878 9 0.586 0.914 49 0.595 0.901 4 0.575 0.876 9 0.537 0.914 49 0.535 0.901 5 0.537 0.851 9 0.488 0.914 49 0.474 0.901
a

Pool, pool size; Effic., efficiency. Efficiency is measured as tests per specimen; efficiency of individual testing is therefore 1.