Table 6. Predictive values and over-treatment ratio for each algorithm, at three different prevalence levels.
Accuracy indicator | Infection prevalence (%)† | Republic of Congo‡ | Kiri, Southern Sudan (old algorithm) with QBC (with CTC¶) | Kiri, Southern Sudan (new algorithm‡) with QBC (with CTC¶) | Adjumani, Uganda | Arua-Yumbe, Uganda |
Baseline scenario | ||||||
Positive predictive value (%) | 0.1 | 9.3 | 48.4 (48.4) | 100.0 (100.0) | 47.2 | 47.3 |
1.0 | 50.8 | 90.5 (90.5) | 100.0 (100.0) | 90.0 | 90.0 | |
10.0 | 91.9 | 99.1 (99.1) | 100.0 (100.0) | 99.0 | 99.0 | |
Negative predictive value (%) | 0.1 | 100.0 | 100.0 (100.0) | 100.0 (100.0) | 100.0 | 100.0 |
1.0 | 99.9 | 99.9 (99.9) | 99.7 (99.6) | 99.9 | 99.9 | |
10.0 | 99.1 | 99.3 (99.3) | 96.4 (96.1) | 98.8 | 98.9 | |
Ratio of false to true cases treated | 0.1 | 9.8 | 1.1 (1.1) | 0.0 (0.0) | 1.1 | 1.1 |
1.0 | 1.0 | 0.1 (0.1) | 0.0 (0.0) | 0.1 | 0.1 | |
10.0 | 0.1 | 0.01 (0.01) | 0.0 (0.0) | 0.01 | 0.01 | |
Worst-case scenario | ||||||
Positive predictive value (%) | 0.1 | 3.7 | 16.9 (16.7) | 37.2 (36.9) | 20.0 | 20.2 |
1.0 | 28.1 | 67.2 (66.9) | 85.7 (85.5) | 71.6 | 71.8 | |
10.0 | 81.1 | 95.8 (95.7) | 98.5 (98.5) | 96.5 | 96.6 | |
Negative predictive value (%) | 0.1 | 100.0 | 100.0 (100.0) | 100.0 (100.0) | 100.0 | 100.0 |
1.0 | 99.9 | 99.8 (99.8) | 99.6 (99.6) | 99.8 | 99.8 | |
10.0 | 98.4 | 98.0 (97.8) | 95.7 (95.6) | 97.3 | 97.4 | |
Ratio of false to true cases treated | 0.1 | 25.8 | 4.9 (5.0) | 1.7 (1.7) | 4.0 | 4.0 |
1.0 | 2.6 | 0.5 (0.5) | 0.2 (0.2) | 0.4 | 0.4 | |
10.0 | 0.2 | 0.04 (0.05) | 0.02 (0.02) | 0.04 | 0.04 |
†: Assumed stage 1 to stage 2 ratio of two. Note that a ratio of 0.5 would result in almost identical estimates (data not shown), since the differences in sensitivity between stage 1 and 2 are small and have limited influence on the PPV and NPV calculations given the low prevalence of HAT true positives.
‡: Assuming sensitivity and specificity without suspect follow-up, as done in practice.
¶: CTC values in parentheses.