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. 2010 Jun;82(6):1172–1184. doi: 10.4269/ajtmh.2010.09-0323

Table 2.

Median maximum likelihood estimator values, minimum and maximum values, and percentage of maximum likelihood estimator values under the population infection rate (percentage underestimations) for 32 frequency distributions calculated for hypothetical mosquito populations with viral titer Distribution 1

Population infection rate Sample size Pool size Low virus detection ability High virus detection ability
MLE Minimum–maximum % Underestimation MLE Minimum–maximum % Underestimation
1/1,000 200 20 0 0 100 0 0–10.51 99.8
50 0 0 100 0 0–11.35 99.9
2,000 20 0 0 100 0.50 0–2.03 82.6
50 0 0 100 0.50 0–2.08 82.3
5/1,000 200 20 0 0 100 0 0–16.68 91.9
50 0 0 100 0 0–20.20 92.8
2,000 20 0 0–0.50 100 2.03 0–6.90 98.5
50 0 0–0.50 100 2.08 0–7.71 97.8
10/1,000 200 20 0 0–4.99 100 4.99 0–23.67 81.5
50 0 0–4.93 100 4.93 0–20.20 83.2
2,000 20 0 0–0.50 100 4.14 0–10.43 99.8
50 0 0–0.50 100 4.39 0–10 99.9
15/1,000 200 20 0 0 100 4.99 0–31.77 97.3
50 0 0–4.93 100 4.93 0–20.20* 98.0
2,000 20 0 0–0.50 100 4.14 0.5–9.23 100
50 0 0–0.50 100 4.39 0.5–10.83 100
*

Two of the samples produced all positive pools and were excluded because maximum likelihood estimator (MLE) values cannot be calculated with all positive pools.