計量生物学
Online ISSN : 2185-6494
Print ISSN : 0918-4430
ISSN-L : 0918-4430
原著
順序制約のある場合の対照群との比較における 2統計量に基づく多重比較検定法
白石 高章松田 眞一
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ジャーナル フリー

2016 年 36 巻 2 号 p. 85-99

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Under the assumptions of continuous distribution and homogeneous variance, we consider multiple comparison tests for comparing several treatments with a control in k sample models under a simple ordered restriction.Williams (1971) proposed a closed testing procedure based on t-tests similar to two-sample t-tests under assuming normality. We propose closed testing procedures based on tests of Batholomew (1959). The powers of the proposed tests are superior to Williams (1971). Furthermore nonparametric closed testing procedures are discussed based on ranks. The procedures proposed in this paper are also applicable for the models with unequal sample sizes.

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© 2016 日本計量生物学会
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