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

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，$是,$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$是$. 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$W$在$X$. 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$是$给出。^1个