Uniform Collapsibility of Distribution Dependence Over a Nominal, Ordinal or Continuous Background

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collapsibility
distribution dependence
Yule-Simpson paradox
Statistical Methodology

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Abstract

Cox and Wermuth proposed that the partial derivative of the conditional distribution function of a random variable Y given another X is used for measuring association between two variables with arbitrary distributions. This paper shows the condition for collapsibility of the association measure.

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2006-02-01

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Journal of the Royal Statistical Society: Series B

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