Some Results on a Wilcoxon-Mann-Whitney Approach to Interactions in a Two-Way ANOVA Design.
Journal Title: Advances in Social Sciences Research Journal - Year 2017, Vol 4, Issue 20
Abstract
There are now several ways of characterizing an interaction in a two-way ANOVA design. For four independent random variables /0 (0 = 1,⋯, 4), let 7 = /1 − /9 and 7∗ = /: − /4 . One approach is based on ; = < 7 < 7∗ , which represents a simple generalization of the Wilcoxon—Mann—Whitney method. Recently, two methods for making inferences about ; were derived. One goal in this paper is to report simulation results indicating that both methods can be unsatisfactory when there is heteroscedasticity. The main goal is to describe an alternative approach that performs much better in simulations.
Authors and Affiliations
Matthew Multach, Rand Wilcox
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