A CONSERVATIVE USE OF HISTORICAL DATA FOR A TREND TEST IN PROPORTIONS

Takashi Yanagawa; David G. Hoel; Gary T. Brooks

doi:10.11329/jjss1970.19.83

Journal of the Japan Statistical Society, Japanese Issue

Online ISSN : 2189-1478
Print ISSN : 0389-5602
ISSN-L : 0389-5602

A CONSERVATIVE USE OF HISTORICAL DATA FOR A TREND TEST IN PROPORTIONS

Takashi Yanagawa, David G. Hoel, Gary T. Brooks

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Keywords: Beta-binomial distribution, Carcinogenicity bioassay, Cochran-Armitage test, Historical control, Hoel-Yanagawa test

JOURNAL FREE ACCESS

1989 Volume 19 Issue 1 Pages 83-94

DOI https://doi.org/10.11329/jjss1970.19.83

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Abstract

The exact conditional tests for incorporating historical controls in testing for a trend in proportions, which were developed recently by Hoel and Yanagawa (1986), depend on Beta-binomial parameters which are estimated from historical data. This paper considers the conditional test for logistic response by Hoel and Yanagawa, shows the test is sensitive to this source of variability, and discusses a conservative use of the test.

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