計量生物学
Online ISSN : 2185-6494
Print ISSN : 0918-4430
ISSN-L : 0918-4430
原著
2×2表の条件付検定:工藤・垂水検定の漸近検出力
牧之角 陽一白葉 飛鳥柳川 堯
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ジャーナル フリー

2003 年 24 巻 1 号 p. 5-16

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Kudô and Tarumi (1978) proposed a conditional test for testing equivalence of two proportions in 2 × 2 tables by assuming the date collected by a negative binomial sampling. The test is undoubtedly a counterpart of the Fisher exact test, but no comparison has been made of the two tests. In this paper we obtain asymptotic power of the Kudô-Tarumi test and compare it with the Fisher exact test by means of the Pitman asymptotic efficiency. It will be shown that the Kudô-Tarumi test is the most powerful similar test for a risk ratio, whereas the Fisher exact test is, the most powerful similar test for a risk ratio, whereas the Fisher exact test is, as well known, the most powerful similar test for an odds ratio. It is also shown that the Kudô-Tarumi test has higher efficiency than the Fisher exact test in many cases.

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© 2003 日本計量生物学会
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