Please use this identifier to cite or link to this item: https://doi.org/10.1198/TECH.2011.10128
Title: Two-Way MANOVA with unequal cell sizes and unequal cell covariance matrices
Authors: Zhang, J.-T. 
Keywords: Approximate Hotelling T2 test
Heteroscedastic two-way MANOVA
Tests of linear hypotheses
Wald-type statistic; Wishart-approximation
Issue Date: Nov-2011
Citation: Zhang, J.-T. (2011-11). Two-Way MANOVA with unequal cell sizes and unequal cell covariance matrices. Technometrics 53 (4) : 426-439. ScholarBank@NUS Repository. https://doi.org/10.1198/TECH.2011.10128
Abstract: In this article, we propose and study an approximate Hotelling T 2 (AHT) test for heteroscedastic two-way MANOVA. The AHT test is shown to be invariant under affine-transformations, different choices of the contrast matrix used to define the same hypothesis, and different labeling schemes of the cellmean vectors. We demonstrate via intensive simulations that the AHT test generally performs well and outperforms two existing approaches in terms of size and power. An extension of the AHT test for heteroscedastic multiway MANOVA is briefly described. A dataset from a smoking cessation trial is analyzed to illustrate the methodologies. This article has supplementary material online in a single archive. © 2011 American Statistical Association and the American Society for Qualitys.
Source Title: Technometrics
URI: http://scholarbank.nus.edu.sg/handle/10635/105449
ISSN: 00401706
DOI: 10.1198/TECH.2011.10128
Appears in Collections:Staff Publications

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