Logical and test consistency in pairwise multiple comparisons

초록

In this study, we reformulate pairwise comparisons as penalized likelihood estimation problems based on the L-1 penalties on the pairwise differences. The proposed approach offers a natural way to avoid logically contradictory conclusions resulting from pairwise comparisons. Moreover, we show that under appropriate conditions, all nulls are not rejected and all alternatives are rejected with probability going to one. Two examples based on real data are used to illustrate the proposed method. (C) 2019 Elsevier B.V. All rights reserved.

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