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• W2799509076 abstract "Missing data are a common issue in statistical analyses. Multiple imputation is a technique that has been applied in countless research studies and has a strong theoretical basis. Most of the statistical literature on multiple imputation has focused on unbounded continuous variables, with mostly ad hoc remedies for variables with bounded support. These approaches can be unsatisfactory when applied to bounded variables as they can produce misleading inferences. In this paper, we propose a flexible quantile-based imputation model suitable for distributions defined over singly or doubly bounded intervals. Proper support of the imputed values is ensured by applying a family of transformations with singly or doubly bounded range. Simulation studies demonstrate that our method is able to deal with skewness, bimodality, and heteroscedasticity and has superior properties as compared to competing approaches, such as log-normal imputation and predictive mean matching. We demonstrate the application of the proposed imputation procedure by analysing data on mathematical development scores in children from the Millennium Cohort Study, UK. We also show a specific advantage of our methods using a small psychiatric dataset. Our methods are relevant in a number of fields, including education and psychology." @default.
• W2799509076 created "2018-05-17" @default.
• W2799509076 creator A5044976138 @default.
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• W2799509076 date "2018-04-26" @default.
• W2799509076 modified "2023-10-02" @default.
• W2799509076 title "Multiple Imputation for Bounded Variables" @default.
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• W2799509076 doi "https://doi.org/10.1007/s11336-018-9616-y" @default.
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