Abstract
We consider multiple comparison procedures among mean effects in heteroscedastic k-sample models. We propose closed testing procedures based on the maximum values of some two-sample Welch t-test statistics. The results reveal that the proposed procedures are more powerful than single-step procedures of Games and Howell (J Educ Stat 1:113–125, 1976).
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References
Games PA, Howell JF (1976) Pairwise multiple comparison procedures with unequal N’s and/or variances: a Monte Carlo study. J Educ Stat 1:113–125
Shiraishi T (2011) Multiple comparison procedures under continuous distributions. Kyoritsu-Shuppan Co., Ltd., Tokyo (in Japanese)
Shiraishi T, Hayakawa Y (2014) Closed testing procedures for pairwise multiple comparisons in multi-sample models with unequal variances. Biom Soc Jpn 35:55–68 (in Japanese)
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Shiraishi, Ta., Sugiura, H., Matsuda, Si. (2019). Multiple Comparisons in Heteroscedastic Multi-sample Models. In: Pairwise Multiple Comparisons. SpringerBriefs in Statistics(). Springer, Singapore. https://doi.org/10.1007/978-981-15-0066-4_2
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DOI: https://doi.org/10.1007/978-981-15-0066-4_2
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Online ISBN: 978-981-15-0066-4
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