Multiple imputation procedures using the GabrielEigen algorithm

摘要

GabrielEigen is a simple deterministic imputation system without structural or distributional assumptions, which uses a mixture of regression and lower-rank approximation of a matrix based on its singular value decomposition. We provide multiple imputation alternatives (MI) based on this system, by adding random quantities and generating approximate confidence intervals with different widths to the imputations using cross-validation (CV). These methods are assessed by a simulation study using real data matrices in which values are deleted randomly at different rates, and also in a case where the missing observations have a systematic pattern. The quality of the imputations is evaluated by combining the variance between imputations ( V_b ) and their mean squared deviations from the deleted values (B) into an overall measure ( T_acc ). It is shown that the best performance occurs when the interval width matches the imputation error associated with GabrielEigen.