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. Author manuscript; available in PMC: 2022 May 1.
Published in final edited form as: J Microbiol Methods. 2021 Mar 22;184:106186. doi: 10.1016/j.mimet.2021.106186

Table 5.

Water sample exceedances of E. coli culture method water quality standard, theoretical site-specific Method C threshold values, and an example, theoretical multi-site Method C threshold value.

Site ID N E. coli culture method exceed Site-Specific Method C exceed TPa FPb FNc TNd FPRe FNRf Multi-site Method C exceed TP FP FN TN FPR FNR
Ross 87 28.74% 25.29% 18 4 7 58 6% 28% 17.24% 14 1 11 61 2% 44%
Singing Bridge 91 29.67% 29.67% 18 9 9 55 14% 33% 3.30% 3 0 24 64 0% 89%
Orchard 45 2.22% 2.22% 1 0 0 44 0% 0% 0.00% 0 0 1 44 0% 100%
Hoffmaster Campground 68 5.88% 4.41% 3 0 1 64 0% 25% 4.41% 3 0 1 64 0% 25%
Meinert 98 5.10% 7.14% 5 2 0 91 2% 0% 4.08% 4 0 1 93 0% 20%
New Buffalo 73 8.22% 9.59% 3 4 3 63 6% 50% 1.37% 1 0 5 67 0% 83%
Warren 71 14.08% 19.72% 8 6 2 55 10% 20% 11.27% 6 2 4 59 3% 40%
Brimley 51 15.69% 17.65% 7 2 1 41 5% 13% 9.80% 5 0 3 43 0% 38%
Sherman 48 6.25% 6.25% 3 0 0 45 0% 0% 6.25% 3 0 0 45 0% 0%
1 60 3.33% 8.33% 2 3 0 55 5% 0% 13.33% 2 6 0 52 10% 0%
11 93 5.38% 9.68% 4 5 1 83 6% 20% 27.96% 5 21 0 67 24% 0%
114 93 8.60% 10.75% 6 4 2 81 5% 25% 12.90% 7 5 1 80 6% 13%
131 90 4.44% 4.44% 4 0 0 86 0% 0% 4.44% 4 0 0 86 0% 0%
137 100 9.00% 18.00% 6 12 3 79 13% 33% 18.00% 6 12 3 79 13% 33%
140 93 1.08% 4.30% 0 4 1 88 4% 100% 8.60% 0 8 1 84 9% 100%
167 86 3.49% 8.14% 3 4 0 79 5% 0% 10.47% 3 6 0 77 7% 0%
169 88 2.27% 3.41% 2 1 0 85 1% 0% 3.41% 2 1 0 85 1% 0%
190 81 3.70% 3.70% 3 0 0 78 0% 0% 4.94% 3 1 0 77 1% 0%
207 93 1.08% 3.23% 0 3 1 89 3% 100% 1.08% 0 1 1 91 1% 100%
209 92 9.78% 20.65% 9 10 0 73 12% 0% 23.91% 9 13 0 70 16% 0%
214 223 30.94% 34.53% 52 25 17 129 16% 25% 43.50% 58 39 11 115 25% 16%
268 93 10.75% 18.28% 8 9 2 74 11% 20% 34.41% 10 22 0 61 27% 0%
291 158 25.95% 27.22% 31 12 10 105 10% 24% 35.44% 37 19 4 98 16% 10%
339 86 4.65% 6.98% 3 3 1 79 4% 25% 8.14% 3 4 1 78 5% 25%
38 84 3.57% 3.57% 3 0 0 81 0% 0% 7.14% 3 3 0 78 4% 0%
64 90 3.33% 8.89% 3 5 0 82 6% 0% 10.00% 3 6 0 81 7% 0%
74 83 2.41% 8.43% 2 5 0 76 6% 0% 18.07% 2 13 0 68 16% 0%
87 86 1.16% 6.98% 1 5 0 80 6% 0% 6.98% 1 5 0 80 6% 0%
Holland 60 5.00% 10.00% 3 3 0 54 5% 0% 6.67% 2 2 1 55 4% 33%
Memorial 70 25.71% 28.57% 15 5 3 47 10% 17% 11.43% 7 1 11 51 2% 61%
Metro 69 15.94% 24.64% 9 8 2 50 14% 18% 20.29% 8 6 3 52 10% 27%
New Baltimore 77 6.49% 9.09% 4 3 1 69 4% 20% 2.60% 2 0 3 72 0% 60%
Bay City 61 8.20% 11.48% 4 3 1 53 5% 20% 16.39% 5 5 0 51 9% 0%
Bird Creek 68 14.71% 19.12% 8 5 2 53 9% 20% 16.18% 8 3 2 55 5% 20%
Brissette 63 6.35% 7.94% 4 1 0 58 2% 0% 4.76% 3 0 1 59 0% 25%
East Tawas 30 3.33% 3.33% 1 0 0 29 0% 0% 3.33% 1 0 0 29 0% 0%
Gateway 58 5.17% 5.17% 1 2 2 53 4% 67% 0.00% 0 0 3 55 0% 100%
Linwood 85 8.24% 12.94% 6 5 1 73 6% 14% 8.24% 5 2 2 76 3% 29%
Van Ettan 28 17.86% 10.71% 3 0 2 23 0% 40% 7.14% 2 0 3 23 0% 60%
All 39 sites 3,173 10.75% 13.80% 266 172 75 2,660 6% 22% 14.09% 240 207 101 2,625 7% 30%
All 101 Sites 6,679 6.65% 11.39% 318 443 126 5,772 7% 28%
a

# of culture exceedances identified as exceedances by Method C

b

# of culture non-exceedances identified as exceedances by Method C

c

# of culture exceedances identified as non-exceedances by Method C

d

# of culture non-exceedances identified as non-exceedances by Method C

e

False Positive rate (FPR): FP/(FP + TN) * 100

f

False Negative rate (FNR): FN/(FN + TP) * 100