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Estimating and contextualizing the attenuation of odds ratios due to non-collapsibility


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Publication Date: 2016-02-24

Journal Title: Communications in Statistics - Theory and Methods

Publisher: Taylor & Francis

Language: English

Type: Article

Metadata: Show full item record

Citation: Burgess, S. (2016). Estimating and contextualizing the attenuation of odds ratios due to non-collapsibility. Communications in Statistics - Theory and Methods

Description: This is the author accepted manuscript. The final version is available from Taylor & Francis via http://dx.doi.org/10.1080/03610926.2015.1006778

Abstract: The odds ratio is a measure commonly used for expressing the association between an exposure and a binary outcome. A feature of the odds ratio is that its value depends on the choice of the distribution over which the probabilities in the odds ratio are evaluated. In particular, this means that an odds ratio conditional on a covariate may have a different value from an odds ratio marginal on the covariate, even if the covariate is not associated with the exposure (not a confounder). We define the individual and population odds ratios as the ratio of the odds of the outcome for a unit increase in the exposure respectively for an individual in the population, and for the whole population, in which case the odds are averaged across the population. The attenuation of conditional, marginal and population odds ratios from the individual odds ratio is demonstrated in a realistic simulation exercise. The degree of attenuation differs in the whole population and in a case-control sample, and the property of invariance to outcome-dependent sampling is only true for the individual odds ratio. The relevance of the non-collapsibility of odds ratios in a range of methodological areas is discussed.

Keywords: odds ratios, non-collapsibility, confounding, case-control sampling

Sponsorship: Stephen Burgess is supported by the Wellcome Trust (grant number 100114). No specific funding was received for the writing of this manuscript.

Identifiers:

This record's URL: http://www.repository.cam.ac.uk/handle/1810/247201http://dx.doi.org/10.1080/03610926.2015.1006778





Autor: Burgess, Stephen

Fuente: https://www.repository.cam.ac.uk/handle/1810/247201



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