Rank Tests for Main and Interaction Effects in Analysis of Variance
作者:
JohnI. Marden,
Maria EmeritaT. Muyot,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1995)
卷期:
Volume 90,
issue 432
页码: 1388-1398
ISSN:0162-1459
年代: 1995
DOI:10.1080/01621459.1995.10476644
出版商: Taylor & Francis Group
关键词: Nonparametric test;Orthogonal contrasts;Pitman efficiency
数据来源: Taylor
摘要:
A class of rank tests for analysis of variance based on linear functions of the Wilcoxon/Mann-Whitney statistics between cells is studied. This class includes many popular procedures. Assuming a location-family model, a condition for optimal Pitman efficacy of tests of main effects in this class is given. Tests for main effects in two-way layouts that achieve this optimality are shown to improve on previous proposals when the sample sizes are unbalanced. Nested orthogonal contrasts are introduced that can be used to decompose the overall test statistics into independent components to assess the contribution of individual contrasts. A new definition of interaction appropriate for rank-based analysis of variance is suggested, and test procedures are proposed.
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