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Successive observations over time are made on individual subjects classified into different groups. It is assumed that the mean response may vary between groups, that there is a random effect for each individual, and that successive observations on each individual follow a AR model. The likelihood-ratio criteria for testing the hypothesis of equality of the group means is considered.
EN
Optimal classification rules based on linear functions which maximize the area under the relative operating characteristic curve or which maximize the chosen probabilistic distance between two populations are studied here. We obtain an expression for the optimal linear discriminant function and show that the resulting procedure belongs to the Anderson-Bahadur admissible class. The asymptotic form of the discriminant function is also studied.
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