Drs. Marco Geraci and Alexander McLain, faculty members of the epidemiology and biostatistics department at the University of South Carolina Arnold School of Public Health, have published a study developing a new multiple imputation approach for bounded variables with missing values. The study was funded by an Advanced Support for Innovative Research Excellence (ASPIRE) grant from the Office of the Vice President for Research. They published their resulting paper in Psychometrika.
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. There are methodological challenges in multiple imputation when the variable with missing values is bounded. Bounded variables are constrained to take values only on a limited range and are ubiquitous in all fields of research, including education, psychology, and public health. Examples of these variables include measurements of length, weight and volume, psychometric scales, clinical scores, survey questionnaire items, and school grades.
In this paper, the authors 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 the authors’ 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.Friday Letter Submission