A generalized linear model for analysing receiver operating characteristic curves.
We present a continuation ratio model for analysing ordinal categorical data and we apply the model to the problem of estimating receiver operating characteristic (ROC) curves. We apply the methods to post-prandial capillary blood glucose measurements as a criterion for a potential screening test for diabetes mellitus. One can obtain point estimates of sensitivity and specificity and their associated standard errors at any value along the observed range of post-prandial capillary blood glucose measurements. Also, in comparison to the models for ROCs described by Tosteson and Begg, ROC curves based on the continuation ratio model have the desired features that allow ROCs to be concave but not necessarily symmetric.
Smith
P J
PJ
Centers for Disease Control and Prevention, Division of Tuberculosis Elimination (E-10), Atlanta, GA 30333, USA.
Thompson
T J
TJ
Engelgau
M M
MM
Herman
W H
WH
D000328:Adult; D000368:Aged; D001786:Blood Glucose / Q000032:analysis; D002196:Capillaries; D003430:Cross-Sectional Studies; D003920:Diabetes Mellitus / Q000097:blood / Q000453:epidemiology; D004534:Egypt / Q000453:epidemiology; D005260:Female; D005951:Glucose Tolerance Test / Q000706:statistics & numerical data; D006801:Humans; D016014:Linear Models; D008297:Male; D008403:Mass Screening / Q000706:statistics & numerical data; D008875:Middle Aged; D010865:Pilot Projects; D012372:ROC Curve; D012680:Sensitivity and Specificity
D001786:Blood Glucose