臨床薬理
Online ISSN : 1882-8272
Print ISSN : 0388-1601
ISSN-L : 0388-1601
The Relationship between the Mantel-Haenszel Statistic and the Wilcoxon Two-Sample Statistic
Akira SAKUMAToshihiko MORIKAWA
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1982 年 13 巻 3 号 p. 449-455

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The Mantel-Haenszel statistic is one of the most important statistics related to a 2×2 contingency table and utilized in combining many 2×2 tables as applied to the life-table analysis. The Wilcoxon two-sample statistic, often referred to as the Mann-Whitney statistic, is one of the most well-known statistics related to the data collected by group comparison study and particularly useful when the data are obtained in a 2×c ordered-categorical format.
The poststratified analyses are commonly perfomed of the data obtained in the randomized controlled clinical trials. Many of the analyses are directed toward such an exploratory approach as to force to find out in which strata the test drug is superior to the control.
In this paper we compared the two statistics from the standpoint of subdividing the sum of chi-square statistics into the quadratic forms relevant to the summary and the residual components, and indicated that the two statistics are closely alike in the case of 2-categorical data. Giving weight to the other aspects of stratified analysis than exploring, we discussed the nature of the summary statistic.
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© The Japanese Society of Clinical Pharmacology and Therapeutics
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