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Template:DiagnosticTesting Example

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Patients with bowel cancer
(as confirmed on endoscopy)
Condition positive Condition negative Prevalence
= (TP+FN)/Total_Population
= (20+10)/2030
≈1.48%
Fecal
occult
blood

screen
test
outcome
Test
outcome
positive
True positive
(TP) = 20
(2030 x 1.48% x 67%)
False positive
(FP) = 180
(2030 x (100 - 1.48%) x (100 - 91%))
Positive predictive value (PPV)
= TP / (TP + FP)
= 20 / (20 + 180)
= 10%
Test
outcome
negative
False negative
(FN) = 10
(2030 x 1.48% x (100 - 67%))
True negative
(TN) = 1820
(2030 x (100 -1.48%) x 91%)
Negative predictive value (NPV)
= TN / (FN + TN)
= 1820 / (10 + 1820)
99.5%
Sensitivity
= TP / (TP + FN)
= 20 / (20 + 10)
67%
Specificity
= TN / (FP + TN)
= 1820 / (180 + 1820)
= 91%
False negative rate (FNR), Miss rate
= FN/(TP+FN)
= 10/(20+10)
33.3%