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Simultaneous and sequential ROC analyses for diagnostic tests Fang, Raymond Rui


Relative or receiver operating characteristic (ROC) analysis is a simple procedure which can be used to measure the accuracy of diagnostic tests. Diagnostic tests are often used to classify an individual as belonging to one of two populations. Based on statistical decision theory, ROC was first developed to evaluate the performance of electronic signal detection, and has been used to evaluate the accuracy of diagnostic tests. The ROC theory for evaluating one single test, or comparing individual tests is reasonably well understood. The question arises in cases where multiple tests are available as to whether some combination of the tests are better than any single one. In this paper, two ROC procedures of evaluating the aggregate performance of multiple diagnostic tests were presented, one is for evaluating simultaneous multiple diagnostic tests, and the other is for sequential diagnostic tests. These procedures are illustrated by using a breast cancer data set.

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