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Multiple comparisons of several heteroscedastic multivariate populations

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  • Kakizawa, Yoshihide

Abstract

This paper presents several statistics appearing in multiple comparisons of heteroscedastic multivariate populations. Due to the very slow convergence of these statistics to their limiting distributions, the large sample Bonferroni or DL-based procedures reveal poor coverage probabilities even in the normal case. Thus, the second-order asymptotic expansions with estimated cumulants are applied to improve their coverage probabilities. A large simulation study illustrates the performance of the second-order corrected procedures.

Suggested Citation

  • Kakizawa, Yoshihide, 2008. "Multiple comparisons of several heteroscedastic multivariate populations," Statistics & Probability Letters, Elsevier, vol. 78(11), pages 1328-1338, August.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:11:p:1328-1338
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    References listed on IDEAS

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    1. Fujikoshi, Yasunori, 1997. "An Asymptotic Expansion for the Distribution of Hotelling'sT2-Statistic under Nonnormality," Journal of Multivariate Analysis, Elsevier, vol. 61(2), pages 187-193, May.
    2. Yanagihara, Hirokazu, 2007. "A family of estimators for multivariate kurtosis in a nonnormal linear regression model," Journal of Multivariate Analysis, Elsevier, vol. 98(1), pages 1-29, January.
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