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. 2023 Aug 29;13(8):e075489. doi: 10.1136/bmjopen-2023-075489

Table 3.

Detection rate (%), false positive rate (%) and ratio of true to false positive for predictive probability using various risk thresholds

Predictive probability of increased violence for cut-off of a positive test result
Nurses 5% 10% 15% 20% 25% 30% 35%
 Detection rate 83.9 34.4 15.1 6.5 2.2 2.2 1.1
 False positive rate 55.0 21.8 8.4 2.7 0.87 0.10 0.10
 Ratio true to false positive 1/7 1/7 1/6 1/5 1/5 ½ 1/1
Practical nurses
 Detection rate 94.8 85.2 61.7 35.7 18.3 8.7 6.1
 False positive rate 82.5 63.5 37.0 19.9 9.7 5.9 3.8
 Ratio true to false positive 1/5 1/4 1/4 1/3 1/3 1/4 ¼
Social and youth workers
 Detection rate 70.0 40.0 26.7 20.0 20.0 3.3 3.3
 False positive rate 29.6 12.8 6.3 3.5 2.5 0.96 0.36
 Ratio true to false positive 1/12 1/12 1/9 1/7 1/5 1/4 1/3
Teachers
 Detection rate 64.4 2.7 1.4
 False positive rate 44.1 3.8 0.89
 Ratio true to false positive 1/17 1/35 1/16