Distribution of Test Results of a Hypothetical Leukocyte Esterase Test in a Cohort of 1000 Women With an Assumed 30% Prevalence of UTI

Results

Disease Present

Disease Absent

Total Patients

Test positive

True positive (TP)

213 patients (71% of 300)

False positive (FP)

105 patients (700 595)

318 patients with a positive test

Test negative

False negative (FN)

87 patients (300 213)

True negative (TN)

595 patients (85% of 700)

682 patients with a negative test

Total patients

300 patients with UTI (assumed)

700 patients without UTI (assumed)

1000 patients

Positive predictive value (PPV) = TP/(all patients with a positive test) = TP/(TP + FP) = 213/(213 + 105) = 67%.

Negative predictive value (NPV) = TN/(all patients with a negative test) = TN/(TN + FN) = 595/(595 + 87) = 87%.

Positive likelihood ratio (LR+) = sensitivity/(1 specificity) =0.71/(1 0.85) =4.73.

Negative likelihood ratio (LR-) = (1 sensitivity)/specificity = (1 0.71)/0.85 = 0.34.

UTI = urinary tract infection