Abstract
Despite theoretical and practical difficulties, we are attempting to extend receiver operating characteristic (ROC) analysis to tasks with more than two classes. Previously we developed explicit analytical expressions for the behavior of the ideal observer acting on univariate trinormal data, and for the region of support of the ideal observer's decision variables when acting on bivariate trinormal data. Although explicit calculation of the ideal observer's behavior for general underlying data is difficult, we have developed a new set of parameters for describing the ideal observer's decision rule which may aid in analytic or numeric computation of the ideal observer's behavior.
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