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A Missing Data Approach to Correct for Direct and Indirect Range Restrictions with a Dichotomous Criterion: A Simulation Study

机译:用二分法校正直接和间接距离限制的缺失数据方法:仿真研究

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摘要

A recurring methodological problem in the evaluation of the predictive validity of selection methods is that the values of the criterion variable are available for selected applicants only. This so-called range restriction problem causes biased population estimates. Correction methods for direct and indirect range restriction scenarios have widely studied for continuous criterion variables but not for dichotomous ones. The few existing approaches are inapplicable because they do not consider the unknown base rate of success. Hence, there is a lack of scientific research on suitable correction methods and the systematic analysis of their accuracies in the cases of a naturally or artificially dichotomous criterion. We aim to overcome this deficiency by viewing the range restriction problem as a missing data mechanism. We used multiple imputation by chained equations to generate complete criterion data before estimating the predictive validity and the base rate of success. Monte Carlo simulations were conducted to investigate the accuracy of the proposed correction in dependence of selection ratio, predictive validity, and base rate of success in an experimental design. In addition, we compared our proposed missing data approach with Thorndike’s well-known correction formulas that have only been used in the case of continuous criterion variables so far. The results show that the missing data approach is more accurate in estimating the predictive validity than Thorndike’s correction formulas. The accuracy of our proposed correction increases as the selection ratio and the correlation between predictor and criterion increase. Furthermore, the missing data approach provides a valid estimate of the unknown base rate of success. On the basis of our findings, we argue for the use of multiple imputation by chained equations in the evaluation of the predictive validity of selection methods when the criterion is dichotomous.
机译:选择方法的预测有效性评估中的一个反复出现的方法学问题是,标准变量的值仅适用于选择的申请人。这个所谓的范围限制问题导致总体估计偏差。直接和间接范围限制方案的校正方法已针对连续的标准变量进行了广泛研究,但对于二分法则没有进行研究。现有的几种方法不适用,因为它们没有考虑未知的基本成功率。因此,在自然或人为二分法的情况下,缺乏对合适的校正方法的科学研究,以及对其准确性的系统分析。我们旨在通过将范围限制问题视为丢失的数据机制来克服此缺陷。在估计预测效度和成功的基本率之前,我们使用链式方程的多次推算来生成完整的标准数据。进行了蒙特卡洛(Monte Carlo)模拟,以研究根据选择比率,预测有效性和成功率在实验设计中提出的校正的准确性。此外,我们将建议的缺失数据方法与Thorndike的知名校正公式进行了比较,该公式迄今仅在连续标准变量的情况下使用。结果表明,与Thorndike的校正公式相比,缺失数据方法在估计预测有效性方面更为准确。我们提出的修正的准确性随着选择率的增加以及预测变量和标准之间的相关性增加。此外,缺失数据方法提供了未知成功率的有效估计。根据我们的发现,我们认为当标准是二分法时,应采用链式方程多重插补来评估选择方法的预测有效性。

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