Subject-specific odds ratios in binomial GLMMs with continuous response |
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Authors: | Mariangela Sciandra Vito M R Muggeo Gianfranco Lovison |
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Institution: | (1) Dipartimento di Scienze Statistiche e Matematiche ‘S. Vianelli’, Università di Palermo, viale delle Scienze, 90128 Palermo, Italy |
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Abstract: | In a regression context, the dichotomization of a continuous outcome variable is often motivated by the need to express results
in terms of the odds ratio, as a measure of association between the response and one or more risk factors. Starting from the
recent work of Moser and Coombs (Stat Med 23:1843–1860, 2004) in this article we explore in a mixed model framework the possibility
of obtaining odds ratio estimates from a regression linear model without the need of dichotomizing the response variable.
It is shown that the odds ratio estimators derived from a linear mixed model outperform those from a binomial generalized
linear mixed model, especially when the data exhibit high levels of heterogeneity. |
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Keywords: | Odds ratio Random effects Logistic regression Dichotomizing Efficiency |
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