RIS ID

114515

Publication Details

De Neve, J. & Thas, O. (2017). A Mann-Whitney type effect measure of interaction for factorial designs. Communications in Statistics: Theory and Methods, Online First 1-18.

Abstract

We propose a measure for interaction for factorial designs that is formulated in terms of a probability similar to the effect size of the Mann-Whitney test. It is shown how asymptotic confidence intervals can be obtained for the effect size and how a statistical test can be constructed. We further show how the test is related to the test proposed by Bhapkar and Gore [Sankhya A, 36:261-272 (1974)]. The results of a simulation study indicate that the test has good power properties and illustrate when the asymptotic approximations are adequate. The effect size is demonstrated on an example dataset.

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Link to publisher version (DOI)

http://dx.doi.org/10.1080/03610926.2016.1263739