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A Bootstrap Method for Using Imputation Techniques for Data With Missing Values
Authors:A. L. Bello
Abstract:Bootstrap is a time-honoured distribution-free approach for attaching standard error to any statistic of interest, but has not received much attention for data with missing values especially when using imputation techniques to replace missing values. We propose a proportional bootstrap method that allows effective use of imputation techniques for all bootstrap samples. Five detcnninistic imputation techniques are examined and particular emphasis is placed on the estimation of standard error for correlation coefficient. Some real data examples are presented. Other possible applications of the proposed bootstrap method are discussed.
Keywords:Bootstrap  Missing values  Imputation techniques  EM algorithm  Principal component analysis  Singular value decomposition
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