From: Comparison of Bayesian and frequentist methods for prevalence estimation under misclassification
Statistical | Design | Data | MLE | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Data set | \(\widetilde {{Se}\phantom {.}}\) | \(\widetilde {{Sp}}\) | \(\widetilde {\pi }\) | nSe | nSp | n | xSe | xSp | x | \(\widehat {{Se}\phantom {.}}\) | \(\widehat {{Sp}}\) | \(\widehat {{AP}}\) |
1 | 0.7479478 | 0.9332674 | 0.4459405 | 100 | 200 | 323 | 74 | 193 | 129 | 0.74 | 0.965 | 0.3993808 |
2 | 0.7479478 | 0.9332674 | 0.4459405 | 100 | 200 | 323 | 70 | 189 | 125 | 0.70 | 0.945 | 0.3869969 |
3 | 0.7479478 | 0.9332674 | 0.4459405 | 100 | 200 | 323 | 78 | 189 | 124 | 0.78 | 0.945 | 0.3839009 |
4 | 0.7479478 | 0.9332674 | 0.4459405 | 100 | 200 | 323 | 73 | 191 | 109 | 0.73 | 0.955 | 0.3374613 |
5 | 0.7479478 | 0.9332674 | 0.4459405 | 100 | 200 | 323 | 76 | 184 | 117 | 0.76 | 0.920 | 0.3622291 |
6 | 0.7479478 | 0.9332674 | 0.4459405 | 100 | 200 | 323 | 66 | 188 | 132 | 0.66 | 0.940 | 0.4086687 |
7 | 0.7479478 | 0.9332674 | 0.4459405 | 100 | 200 | 323 | 76 | 179 | 121 | 0.76 | 0.895 | 0.3746130 |
8 | 0.7479478 | 0.9332674 | 0.4459405 | 100 | 200 | 323 | 75 | 188 | 118 | 0.75 | 0.940 | 0.3653251 |
9 | 0.7479478 | 0.9332674 | 0.4459405 | 100 | 200 | 323 | 74 | 187 | 127 | 0.74 | 0.935 | 0.3931889 |
10 | 0.7479478 | 0.9332674 | 0.4459405 | 100 | 200 | 323 | 75 | 191 | 127 | 0.75 | 0.955 | 0.3931889 |