Table 2. Probabilities of Human and Ruminant Fecal Contamination around Lake Rådasjön Based on Expert Judgments (Prior) and Expert Judgments Combined with BacH and BacR Assay Performance (Posterior).
| prior |
posterior |
|||||
|---|---|---|---|---|---|---|
| site | P(H)a |
P(R)a |
P(H|T)b |
P(H|T′)b |
P(R|T)c |
P(R|T′)c |
| 0.39d | 0.06 | 0.57 | 0.13 | 0.26 | 0.01 | |
| 1 | (0.17–0.65)e | (0.01–0.20) | (0.28–0.82) | (0.02–0.42) | (0.04–0.65) | (0.00–0.06) |
| 0.65 | 0.24 | 0.80 | 0.32 | 0.64 | 0.05 | |
| 3 | (0.45–0.81) | (0.11–0.43) | (0.60–0.91) | (0.06–0.65) | (0.34–0.87) | (0.01–0.18) |
| 0.26 | 0.26 | 0.43 | 0.08 | 0.66 | 0.05 | |
| 4 | (0.14–0.40) | (0.11–0.48) | (0.23–0.63) | (0.01–0.24) | (0.34–0.89) | (0.01–0.20) |
| 0.60 | 0.15 | 0.79 | 0.27 | 0.49 | 0–03 | |
| 6 | (0.36–0.81) | (0.05–0.32) | (0.51–0.91) | (0.05–0.64) | (0.19–0.80) | (0.00–0.12) |
| 0.79 | 0.15 | 0.89 | 0.50 | 0.49 | 0.03 | |
| 7 | (0.61–0.92) | (0.09–0.24) | (0.74–0.96) | (0.11–0.81) | (0.27–0.76) | (0.00–0.09) |
| 0.39 | 0.20 | 0.57 | 0.14 | 0.58 | 0.04 | |
| 10 | (0.22–0.57) | (0.10–0.34) | (0.34–0.77) | (0.02–0.38) | (0.31–0.83) | (0.01–0.13) |
| 0.06 | 0.16 | 0.12 | 0.01 | 0.51 | 0.03 | |
| 15 | (0.01–0.17) | (0.06–0.33) | (0.02–0.33) | (0.00–0.08) | (0.21–0.81) | (0.00–0.12) |
| 0.09 | 0.78 | 0.18 | 0.02 | 0.95 | 0.37 | |
| 17 | (0.04–0.18) | (0.39–0.98) | (0.07–0.36) | (0.00–0.09) | (0.74–1.00) | (0.04–0.90) |
| 0.62 | 0.26 | 0.78 | 0.29 | 0.66 | 0.05 | |
| 18 | (0.25–0.91) | (0.09–0.52) | (0.40–0.96) | (0.04–0.76) | (0.30–0.90) | (0.01–0.22) |
| 0.38 | 0.12 | 0.57 | 0.13 | 0.44 | 0.02 | |
| 19 | (0.19–0.62) | (0.04–0.28) | (0.30–0.80) | (0.02–0.40) | (0.15–0.76) | (0.00–0.09) |
Prior probabilities of a human P(H) and ruminant P(R) fecal contamination at each site determined from expert judgments.
P(H|T) is the probability for a true human contamination, given a positive result in the BacH assay, and P(H|T′) is the probability given a negative result in the BacH assay.
P(R|T) is the probability for a true ruminant contamination, given a positive result in the BacR assay, and P(R|T′) is the probability given a negative result in the BacR assay.
Median values.
Range indicated by 5- and 95-percentile values.