Multiple Imputation to Balance Unbalanced Designs for Two-Way Analysis of Variance

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. https://meth.psychopen.eu/index.php/meth/article/view/6085

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Multiple Imputation to Balance Unbalanced Designs for Two-Way Analysis of Variance ; volume:17 ; number:1 ; day:31 ; month:03 ; year:2021
Methodology ; 17, Heft 1 (31.03.2021)

Urheber
van Ginkel, Joost R.
Kroonenberg, Pieter M.

DOI
10.5964/meth.6085
URN
urn:nbn:de:101:1-2021050105090749963236
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 10:55 MESZ

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Beteiligte

  • van Ginkel, Joost R.
  • Kroonenberg, Pieter M.

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