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. 2013 Feb 1;42(1):346–355. doi: 10.1093/ije/dys230

Table 1.

Possible outcomes of an LQAS test and metrics for design performance, contingent upon programmatic threshold, p*

Actual Performance
Poor p ≤ 0.50 Mediocre 0.50 < p < 0.80 Good p ≥ 0.80
LQAS Test Outcome Unacceptable a = E[OC(p) | p ≤ 0.50] b = E[1-OC(p) | 0.50 < p < 0.80] c = E[1-OC(p) | p ≥ 0.80]
Acceptable d = E[OC(p) | p ≤ 0.50] e = E[OC(p) | 0.50 < p < 0.80] f = E[OC(p) | p ≥ 0.80]
Target Threshold
For Detecting Poor (p* = pL) For Detecting Good (p* = pU)
Performance Metrics Sensitivity a/(a + d) f/(c + f)
Specificity (e + f)/(b + c + e + f) (a + b)/(a + b + d + e)
PPV a/(a + b + c) f/(d + e + f)
NPV (e + f)/(d + e + f) (a + b)/(a + b + c)