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A GENERALIZED LINEAR MODEL FOR ANALYSING RECEIVER OPERATING CHARACTERISTIC CURVES
Author(s) -
SMITH PHILIP J.,
THOMPSON THEODORE J.,
ENGELGAU MICHAEL M.,
HERMAN WILLIAM H.
Publication year - 1996
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/(sici)1097-0258(19960215)15:3<323::aid-sim159>3.0.co;2-a
Subject(s) - receiver operating characteristic , categorical variable , range (aeronautics) , continuation , statistics , mathematics , sensitivity (control systems) , computer science , materials science , electronic engineering , engineering , composite material , programming language
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.