Robust Tests for Trend in Binomial Proportions

R. T. Smythe, D. Krewski and A. Dewanji
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R. T. Smythe: George Washington University, Department of Statistics
D. Krewski: Health and Welfare Canada, Health Protection Branch
A. Dewanji: Health and Welfare Canada, Health Protection Branch

A chapter in Probability and Bayesian Statistics, 1987, pp 443-454 from Springer

Abstract: Abstract Recent modifications to the Cochran-Armitage statistic used to test for trend in binomial proportions in carcinogenicity bioassays for which a series of historical control data is available employ a beta distribution for the between study variation in the binomial response rate in the control group. In this paper, the use of robust distributions with heavier tails than the beta is proposed as a means of accommodating the uncertainty as to the actual historical distribution of the binomial response rate. The robust distributions are selected from within a class of mixed distributions using a r-minimax criterion to select the most appropriate value of the mixing proportion. These tests are shown to be more robust than the existing tests with respect to inclusion or exclusion of individual historical control data points.

Keywords: Historical Control; Beta Distribution; Score Statistic; Heavy Tail; Mixed Distribution (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-1-4613-1885-9_45

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