Table 3 Estimation efficiency (mean ± half-width of 95% CI) of the optimal design and the benchmark design for HIV prevalence estimation (with an actual prevalence rate of \(p=0.044\))
Performance metric | Optimal design | Benchmark design |
|---|---|---|
Pool design | \(n^* = 37, s^* = 17\) | \(n^* = 17, s^* = 33\) |
\({\hat{p}}\) (MLE) | 0.05204 ± 0.00036 | 0.03041 ± 0.00029 |
MSE \((\times 10^4)\) | 3.95 ± 0.11 | 4.00 ± 0.08 |
rBias (%) | 18.26 ± 0.52 | 30.88 ± 0.48 |