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Regression Reconstruction from a Retrospective Sample
Econometrics and Statistics ( IF 2.0 ) Pub Date : 2020-11-18 , DOI: 10.1016/j.ecosta.2020.10.003
Christiana Kartsonaki 1 , D R Cox 2
Affiliation  

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.1



中文翻译:

回顾性样本的回归重建

最简单的回顾性研究形式允许重建二元结果之间的依赖关系,,表示病例和对照之间的对比,以及一个或多个解释变量。考虑了这种情况的不同目标,其中有不同的解释变量,比如(W,X)决定. 重建原始分布(W,X)病例对照数据中的连续变量和二元变量都被考虑在内。重点是线性回归系数WX. 如理论和模拟所示,该系数而非相关截距显示出相当大的稳定性。不以条件为条件的系数值的近似值给出。1个

更新日期:2020-11-18
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