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On Enhancing Plausibility of the Missing at Random Assumption in Incomplete Data Analyses via Evaluation of Response-Auxiliary Variable Correlations
Authors:Tenko Raykov  Brady T West
Institution:1. Michigan State University;2. Survey Research Center, Institute for Social Research, University of Michigan
Abstract:A procedure for evaluating candidate auxiliary variable correlations with response variables in incomplete data sets is outlined. The method provides point and interval estimates of the outcome-residual correlations with potentially useful auxiliaries, and of the bivariate correlations of outcome(s) with the latter variables. Auxiliary variables found in this way can enhance considerably the plausibility of the popular missing at random (MAR) assumption if included in ensuing maximum likelihood analyses, or can alternatively be incorporated in imputation models for subsequent multiple imputation analyses. The approach can be particularly helpful in empirical settings where violations of the MAR assumption are suspected, as is the case in many longitudinal studies, and is illustrated with data from cognitive aging research.
Keywords:auxiliary variable  confidence interval  incomplete data set  longitudinal study  missing at random  missing data
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