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We thank Liublinska and Rubin (1) for their interest in our article on missing outcome data in randomized trials and observational research (2). In medical research, different methods are being used to handle missing data. In our article, we illustrated that in some settings, multiple imputation and complete case analysis with covariate adjustment (CCA-CA) yield the same unbiased results. We evaluated settings in which multiple imputation and CCA-CA utilized exactly the same amount of information on covariates or predictors of missingness. It therefore does not come as a surprise that results were the same for the 2 methods, as Liublinska and Rubin rightfully point out. Furthermore, we focused on situations in which only outcome data were missing (i.e., no missing data on covariates or treatment status), and these missing outcome data were also missing at random, meaning that missingness depended on observed variables only. We showed that in cases conditional on these observed variables (e.g., after covariate adjustment), missingness is completely at random and a CCA-CA thus yields unbiased estimates, similar to those from multiple imputation.
机译:我们感谢Liublinska和Rubin(1)对我们关于随机试验和观察性研究中缺少结果数据的文章的兴趣(2)。在医学研究中,正在使用不同的方法来处理丢失的数据。在我们的文章中,我们说明了在某些情况下,多重插补和带有协变量调整的完整案例分析(CCA-CA)产生相同的无偏结果。我们评估了多个插补和CCA-CA利用协变量或缺失预测因子的信息量完全相同的设置。因此,如Liublinska和Rubin正确指出的那样,两种方法的结果相同并不令人惊讶。此外,我们关注的是仅缺少结果数据的情况(即,没有关于协变量或治疗状态的数据),并且这些丢失的结果数据也是随机丢失的,这意味着缺失仅取决于观察到的变量。我们表明,在以这些观察变量为条件的情况下(例如,在进行协变量调整后),缺失完全是随机的,因此CCA-CA得出的估计是无偏的,类似于多次插补的估计。

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