Bootstrap tests for simultaneous monotone ordering of effects in a two‐way ANOVA
Raju Dey,
Anjana Mondal,
Somesh Kumar
Abstract:In a two‐way additive analysis of variance (ANOVA) model, we consider the problem of testing for homogeneity of both row and column effects against their simultaneous ordering. The error variances are assumed to be heterogeneous with unbalanced samples in each cell. Two simultaneous test procedures are developed—the first one using the likelihood ratio test (LRT) statistics of two independent hypotheses and another based on the consecutive pairwise differences of estimators of effects. The parametric bootstrap… Show more
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