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Bias in regression coefficient estimates when assumptions for handling missing data are violated: a simulation study

机译:模拟研究违反假设时的回归系数估计偏差

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Background The purpose of this simulation study is to assess the performance of multiple imputation compared to complete case analysis when assumptions of missing data mechanisms are violated. Methods The authors performed a stochastic simulation study to assess the performance of Complete Case (CC) analysis and Multiple Imputation (MI) with different missing data mechanisms (missing completely at random (MCAR), at random (MAR), and not at random (MNAR)). The study focused on the point estimation of regression coefficients and standard errors. Results When data were MAR conditional on Y, CC analysis resulted in biased regression coefficients; they were all underestimated in our scenarios. In these scenarios, analysis after MI gave correct estimates. Yet, in case of MNAR MI yielded biased regression coefficients, while CC analysis performed well. Conclusion The authors demonstrated that MI was only superior to CC analysis in case of MCAR or MAR. In some scenarios CC may be superior over MI. Often it is not feasible to identify the reason why data in a given dataset are missing. Therefore, emphasis should be put on reporting the extent of missing values, the method used to address them, and the assumptions that were made about the mechanism that caused missing data.
机译:背景技术本模拟研究的目的是在违反缺少数据机制的假设时,与完整案例分析相比,评估多重插补的性能。方法作者进行了一项随机模拟研究,以评估具有不同缺失数据机制(完全缺失(MCAR),随机(MAR)而不是随机缺失(MAR)的完整案例(CC)分析和多重插补(MI)的性能。 MNAR))。该研究集中在回归系数和标准误差的点估计上。结果当数据以MAR为条件,Y时,CC分析导致回归系数有偏差。在我们的场景中,它们都被低估了。在这些情况下,MI后的分析给出了正确的估计。但是,在MNAR的情况下,MI产生了有偏差的回归系数,而CC分析则表现良好。结论作者证明,只有在MCAR或MAR的情况下,MI才优于CC分析。在某些情况下,CC可能优于MI。确定给定数据集中的数据丢失的原因通常是不可行的。因此,应该重点报告缺失值的范围,解决缺失值的方法以及对导致缺失数据的机制的假设。

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