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Biometrika 1996 83(4):923-927; doi:10.1093/biomet/83.4.923
© 1996 by Biometrika Trust
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MISCELLANEA

Higher order monotone Bartlett-type adjustment for some multivariate test statistics

YOSHIHIDE KAKIZAWA

Department of Mathematical Science, Faculty of Engineering Science, Osaka University Toyonaka 560, Japan

Suppose that the null distribution function of some test statistic S = Sn is expanded in terms of {chi}2 distributions. In this paper we provide a method for finding a ‘monotone’ transformation T(x) such that T(S) has chi-squared distribution to order n–k. This technique is applied to the special case of Hotelling's T2-statistic.

Key Words: Asymptotic expansion • Bartlett-type adjustment • Chi-squared distribution


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