The unreasonable effectiveness of a biased logistic regression procedure in the analysis of pair-matched case-control studies |
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| Affiliation: | 1. School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China;2. School of Science, Henan University of Engineering, Zhengzhou 451191, China;1. Faculty of Mathematics and Statistics, Central China Normal University, PR China;2. Department of Statistics, Visva-Bharati University, Santiniketan, India;1. Dipartimento di Matematica, Università di Pisa, Italy;2. Département d''Informatique, Université libre de Bruxelles, Belgium;1. Department of Mathematics and Applications “R. Caccioppoli”, University of Naples Federico II, via Cinthia – Complesso Universitario Monte Sant''Angelo, 80126 Naples, Italy;2. Aix Marseille Univ., CNRS, Centrale Marseille, I2M, Marseille, France;3. Université de Limoges, Laboratoire XLIM, UMR-CNRS 6172, France;4. Centre for Informatics and Applied Optimization, Federation University, Australia |
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| Abstract: | We examine the rationale of prospective logistic regression analysis for pair-matched case-control data using explicit, parametric terms for matching variables in the model. We show that this approach can yield inconsistent estimates for the disease-exposure odds ratio, even in large samples. Some special conditions are given under which the bias for the disease-exposure odds ratio is small. It is because these conditions are not too uncommon that this flawed analytic method appears to possess an (unreasonable) effectiveness. |
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