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. 2023 Jul 18;72(10):1904–1918. doi: 10.1136/gutjnl-2023-329701

Table 3.

The relationship between direct, practical measures of a non-invasive screening test’s accuracy, how each measure informs assessment of diagnostic accuracy (sensitivity and specificity) and the consequence of the result for a screening programme

Test result Diagnostic verification* Result of diagnostic verification Related accuracy characteristic Programme consequence
Positive Yes True, hence TP (TP1, TP2)† Relative sensitivity; TP1/TP2 Detection of neoplasia
Positive predictive value;
TP1/(TP1+FP1)
TP2/(TP2+FP2)
Efficiency of detection
False, hence FP (FP1, FP2) Relative FP rates; FP1/FP2 Burden associated with detection
Negative No
Test result Diagnostic verification* Result of diagnostic verification Related accuracy characteristic Programme consequence
Positive Yes True, hence TP Sensitivity;
TP/(TP+FN)
Detection of neoplasia
Positive predictive value;
TP/(TP+FP)
Efficiency of detection
False, hence FP Burden associated with detection
Negative Yes True, hence TN Specificity; TN/(TN+FP) Accuracy of detection
Negative predictive value;
TN/(TN+FN)
Exclusion of neoplasia
False, hence FN Miss rate (missed lesions)

The upper section shows relationships when paired testing is undertaken and only test-positive cases undergo colonoscopy while the lower section refers to the situation when all cases undergo colonoscopy.

*Verified by colonoscopy.

†TP1,TP2—TP by tests 1 and 2; FP1,FP2—FP by tests 1 and 2.

FN, false negative; FP, false positive; TN, true negative; TP, true positive.