Li-B-dichotomisationNONPARA2009[1].pdf (246.42 kB)
Dichotomous transformations for statistical inference about odds ratios
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.
History
School
- Business and Economics
Department
- Business
Published in
Journal of Nonparametric StatisticsVolume
21Issue
1Pages
41 - 48Citation
LI, B., and HUANG, X., 2009. Dichotomous transformations for statistical inference about odds ratios. Journal of Nonparametric Statistics, 21 (1), pp. 41-48Publisher
© Taylor & FrancisVersion
- AM (Accepted Manuscript)
Publication date
2009Notes
This article was published in the Journal of Nonparametric Statistics [© Taylor & Francis]. The definitive version is available from: http://www.tandfonline.com/doi/abs/10.1080/10485250802471551ISSN
1048-5252Publisher version
Language
- en