کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1150830 | 1489809 | 2016 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A family of association measures for 2×22×2 contingency tables based on the ϕϕ-divergence A family of association measures for 2×22×2 contingency tables based on the ϕϕ-divergence](/preview/png/1150830.png)
The odds ratio is the predominant measure of association in 2×22×2 contingency tables, which, for inferential purposes, is usually considered on the log-scale. Under an information theoretic set-up, it is connected to the Kullback–Leibler divergence. Considering a generalized family of divergences, the ϕϕ divergence, alternative association measures are derived for 2×22×2 contingency tables. Their properties are studied and asymptotic inference is developed. For some members of this family, the estimated association measures remain finite in the presence of a sampling zero while for a subset of these members the estimators of these measures have finite variance as well. Special attention is given to the power divergence, which is a parametric family. The role of its parameter λλ, in terms of the asymptotic confidence intervals’ coverage probability and average relative length, is further discussed. In special probability table structures, for which the performance of the asymptotic confidence intervals for the classical log odds ratio is poor, the measure corresponding to λ=1/3λ=1/3 is suggested as an alternative.
Journal: Statistical Methodology - Volume 30, May 2016, Pages 45–61