Regression Reconstruction from a Retrospective Sample

Christiana Kartsonaki and D. R. Cox

Econometrics and Statistics, 2023, vol. 25, issue C, 87-92

Abstract: The simplest form of retrospective study allows the reconstruction of the dependence between a binary outcome, Y, representing the contrast between cases and controls, and one or more explanatory variables. A different objective for such situations is considered, in which there are distinct explanatory variables, say (W,X) determining Y. Reconstruction of the originating distribution of (W,X) from the case-control data is considered for both continuous and binary variables. Emphasis is on the linear regression coefficient of W on X. That coefficient, but not the relevant intercept, shows considerable stability, as shown by theory and simulations. An approximation to the value of the coefficient not conditioning on Y is given.11Supplementary appendix with simulation code and results.

Keywords: Bias removal; Case-control study; Indirect sampling (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecosta:v:25:y:2023:i:c:p:87-92

DOI: 10.1016/j.ecosta.2020.10.003

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