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. Author manuscript; available in PMC: 2017 Jul 13.
Published in final edited form as: Environ Sci Technol. 2015 Jan 20;49(3):1311–1318. doi: 10.1021/es504579j

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)
a

Prior probabilities of a human P(H) and ruminant P(R) fecal contamination at each site determined from expert judgments.

b

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.

c

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.

d

Median values.

e

Range indicated by 5- and 95-percentile values.