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• 关键词：Asymptotic expansion ; Nonnull distribution ; Differential operator ; One-way MANOVA ; Nonnormality ; Bartlett's type adjustment ; Cornish– ; Fisher's type adjustment
• 刊名：Journal of Applied Mathematics and Mechanics
• 出版年：2008
• 期刊代码：96_00218928
• 类别：et
• 出版时间：2008
• 卷：72
• 期：1
• 页码：CO2
• 文件大小：309 K

摘要

The purpose of this paper is to investigate the effect of nonnormality upon the nonnull distributions of some MANOVA test statistics under normality. It is shown that whatever the underlying distributions, the difference of the local powers up to order N^-1 (N is the total number of observations) after either Bartlett's type adjustment or Cornish–Fisher's type adjustment under nonnormality coincides with that in Anderson [An Introduction to Multivariate Statistical Analysis, second ed., 1984 and third ed., 2003, Wiley, New York] under normality. The performance of higher-order results in finite samples is examined using simulation studies.