Parametric Collapsibility and the Lack of Moderating Effects in Contingency Tables with a Dichotomous Response Variable
- 1 July 1987
- journal article
- research article
- Published by Oxford University Press (OUP) in Journal of the Royal Statistical Society Series B: Statistical Methodology
- Vol. 49 (3) , 353-364
- https://doi.org/10.1111/j.2517-6161.1987.tb01706.x
Abstract
SUMMARY: We consider contingency tables having one variable specified as a response with just two categories. We look at conditions for collapsibility of a symmetric and a directed measure of association, the odds-ratio and the relative risk: situations are discussed under which equal partial associations coincide with the corresponding marginal association. Contrary to the odds-ratio the relative risk is collapsible, if there are independencies in the marginal distribution of the influencing variables. This fact is exploited to derive conditions for the lack of a moderating effect, the latter being a much discussed concept in the social science literature.This publication has 17 references indexed in Scilit:
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