This Article Full Text (PDF) References Alert me when this article is cited Alert me if a correction is posted Citation Map Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Algina, J. Articles by Tang, K. L. Search for Related Content Social Bookmarking                         What's this?

Type I Error Rates for Yao’s and James Tests of Equality of Mean Vectors Under VarianceCovariance Heteroscedasticity

University of Florida

For Yao’s and James’ tests, Type I error rates were estimated for various combinations of the number of variables (p), samplesize ratio (n₁: n₂), sample-size-to-variables ratio, and degree of heteroscedasticity. These tests are alternatives to Hotelling’s T² and are intended for use when the variance-covariance matrices are not equal in a study using two independent samples. The performance of Yao’s test was superior to that of James’. Yao’s test had appropriate Type I error rates when p 10, (n₁ + n₂)/p 10, and 1:2 n₁:n₂ 2:1. When (n₁ + n₂)/p = 20, Yao’s test was robust when n₁: n₂ was 5:1, 3:1, and 4:1 and p was 2, 6, and 10, respectively.

Journal of Educational and Behavioral Statistics, Vol. 13, No. 3, 281-290 (1988)
DOI: 10.3102/10769986013003281


CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    Twitter    What's this?