The effect of random measurement error on receiver operating characteristic (ROC) curves

✍ Scribed by David Faraggi

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 100 KB
• Volume: 19
• Category: Article
• ISSN: 0277-6715
• DOI: 10.1002/(sici)1097-0258(20000115)19:1<61::aid-sim297>3.0.co;2-a

✦ Synopsis

In this paper con"dence intervals for the area under the ROC curve are adjusted for the presence of measurement error. A parametric normal model is assumed. The ratio of intra-individual to inter-individual variance provides a relative measure of the amount of measurement error. An exact adjusted con"dence interval is developed for the equal variance case and an approximation is derived for the unequal variance case. We illustrate, using an example, the e!ect of ignoring the measurement error on the con"dence interval for the area and show that the e!ect can be substantial on the decision as to the diagnostic e!ectiveness of the marker. We also examine, by means of a simulation study, the coverage probability of the unadjusted con"dence interval and show that it can be far from its nominal value when measurement error is present.