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Title: Dichotomous transformations for statistical inference about odds ratios
Authors: Huang, Xiangning
Li, Baibing
Keywords: Clinical trial
Cutpoint
Dichotomisation
Median test
Odds ratio
Issue Date: 2009
Publisher: © Taylor & Francis
Citation: LI, B., and HUANG, X., 2009. Dichotomous transformations for statistical inference about odds ratios. Journal of Nonparametric Statistics, 21 (1), pp. 41-48
Abstract: Dichotomous transformations for continuous outcomes are commonly used. In this paper, we investigate dichotomisation for statistical inference about odds ratios in a situation where two underlying distributions from which independent samples are drawn are skewed and unknown. Under some mild conditions it is shown that a suitable choice of the cutpoint of a dichotomous transformation must lie within the range bounded by the two medians of the two underlying distributions, within which there exists a unique optimal cutpoint in terms of the asymptotic efficiency of point estimation and hypothesis testing. The issue of selecting a cutpoint is also linked to the choice amongst some existing non-parametric tests.
Description: This article is closed access, it was published in the Journal of Nonparametric Statistics [© Taylor & Francis]. The definitive version is available from: http://www.tandfonline.com/doi/abs/10.1080/10485250802471551
Version: Accepted for publication
DOI: 10.1080/10485250802471551
URI: https://dspace.lboro.ac.uk/2134/9165
Publisher Link: http://www.tandfonline.com/doi/abs/10.1080/10485250802471551
ISSN: 1048-5252
Appears in Collections:Closed Access (Business School)

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