Profile-likelihood inference for highly accurate diagnostic tests.
We consider profile-likelihood inference based on the multinomial distribution for assessing the accuracy of a diagnostic test. The methods apply to ordinal rating data when accuracy is assessed using the area under the receiver operating characteristic (ROC) curve. Simulation results suggest that the derived confidence intervals have acceptable coverage probabilities, even when sample sizes are small and the diagnostic tests have high accuracies. The methods extend to stratified settings and situations in which the ratings are correlated. We illustrate the methods using data from a clinical trial on the detection of ovarian cancer.
Tsimikas
John V
JV
Department of Mathematics and Statistics, University of Massachusetts at Amherst, 1442 LGRT, Amherst, Massachusetts 01002, USA. tsimikas@math.umass.edu
Bosch
Ronald J
RJ
Coull
Brent A
BA
El Barmi
Hammou
H
D019540:Area Under Curve; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D003955:Diagnostic Tests, Routine / Q000379:methods*; D005260:Female; D006801:Humans; D016013:Likelihood Functions; D008279:Magnetic Resonance Imaging / Q000379:methods; D015337:Multicenter Studies as Topic / Q000379:methods; D010051:Ovarian Neoplasms / Q000175:diagnosis; D012372:ROC Curve; D014057:Tomography, X-Ray Computed / Q000379:methods; D014463:Ultrasonography / Q000379:methods