1. Multiple Imputation to Balance Unbalanced Designs for Two-Way Analysis of Variance
- Author
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Joost R. van Ginkel and Pieter M. Kroonenberg
- Subjects
unbalanced designs ,multiple imputation ,two-way analysis of variance ,missing data ,type-iii sum of squares ,Psychology ,BF1-990 - Abstract
A balanced ANOVA design provides an unambiguous interpretation of the F-tests, and has more power than an unbalanced design. In earlier literature, multiple imputation was proposed to create balance in unbalanced designs, as an alternative to Type-III sum of squares. In the current simulation study we studied four pooled statistics for multiple imputation, namely D₀, D₁, D₂, and D₃ in unbalanced data, and compared them with Type-III sum of squares. Statistics D₁ and D₂ generally performed best regarding Type-I error rates, and had power rates closest to that of Type-III sum of squares. Additionally, for the interaction, D₁ produced power rates higher than Type-III sum of squares. For multiply imputed datasets D₁ and D₂ may be the best methods for pooling the results in multiply imputed datasets, and for unbalanced data, D₁ might be a good alternative to Type-III sum of squares regarding the interaction.
- Published
- 2021
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