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- W2080084972 abstract "Abstract Let π 1 ,·, π k be k normal populations with unknown means θ 1 ,·, θ k , and a common unknown variance σ 2 > 0. Based on independent samples of sizes n 1 ,·, n k , the populations are to be partitioned into two sets, where the first one contains all π i with θ i ≥ θ 0 , and where the other one contains the rest. At first it is assumed that θ 0 is known. Under an additive ‘ a i − b i ’ loss function a minimax procedure is derived which is of a simple natural form. The proof of minimaxity makes use of the Bayes approach and involves a sequence of nonsymmetric priors, which play a similar role as a least favorable prior in simpler problems. Analogous results are presented for the case that θ 0 is not known. In this case, a control normal population is assumed to exist from which an additional sample of size n 0 can be drawn." @default.
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- W2080084972 date "1985-01-01" @default.
- W2080084972 modified "2023-09-25" @default.
- W2080084972 title "Minimax multiple t-tests for comparing k normal populations with a control" @default.
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- W2080084972 doi "https://doi.org/10.1016/0378-3758(85)90065-5" @default.
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