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Template:Diagnostic testing example

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Fecal occult blood screen test outcome
Total population
(pop.) = 2030
Test outcome positive Test outcome negative Accuracy (ACC)
= (TP + TN) / pop.
= (20 + 1820) / 2030
90.64%
F1 score
= 2 × precision × recall/precision + recall
0.174
Patients with
bowel cancer
(as confirmed
on endoscopy)
Actual condition
positive (AP)
= 30
(2030 × 1.48%)
True positive (TP)
= 20
(2030 × 1.48% × 67%)
False negative (FN)
= 10
(2030 × 1.48% × (100% − 67%))
True positive rate (TPR), recall, sensitivity
= TP / AP
= 20 / 30
66.7%
False negative rate (FNR), miss rate
= FN / AP
= 10 / 30
33.3%
Actual condition
negative (AN)
= 2000
(2030 × (100% − 1.48%))
False positive (FP)
= 180
(2030 × (100% − 1.48%) × (100% − 91%))
True negative (TN)
= 1820
(2030 × (100% − 1.48%) × 91%)
False positive rate (FPR), fall-out, probability of false alarm
= FP / AN
= 180 / 2000
= 9.0%
Specificity, selectivity, true negative rate (TNR)
= TN / AN
= 1820 / 2000
= 91%
Prevalence
= AP / pop.
= 30 / 2030
1.48%
Positive predictive value (PPV), precision
= TP / (TP + FP)
= 20 / (20 + 180)
= 10%
False omission rate (FOR)
= FN / (FN + TN)
= 10 / (10 + 1820)
0.55%
Positive likelihood ratio (LR+)
= TPR/FPR
= (20 / 30) / (180 / 2000)
7.41
Negative likelihood ratio (LR−)
= FNR/TNR
= (10 / 30) / (1820 / 2000)
0.366
False discovery rate (FDR)
= FP / (TP + FP)
= 180 / (20 + 180)
= 90.0%
Negative predictive value (NPV)
= TN / (FN + TN)
= 1820 / (10 + 1820)
99.45%
Diagnostic odds ratio (DOR)
= LR+/LR−
20.2