Dichotomous transformations for statistical inference about odds ratios

Xiangning Huang and Baibing Li

Journal of Nonparametric Statistics, 2009, vol. 21, issue 1, 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.

Date: 2009
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DOI: 10.1080/10485250802471551

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