Much ado about nothing: Multiple imputation to balance unbalanced designs for two-way analysis of variance
Author(s) / Creator(s)
van Ginkel, Joost R.
Kroonenberg, Pieter M.
Abstract / Description
In earlier literature, multiple imputation was proposed to create balance in unbalanced designs, as an alternative to Type III sum of squares in two-way ANOVA. In the current simulation study we studied four pooled statistics for multiple imputation, namely D₀, D₁, D₂, and D₃ in unbalanced data, and compared these statistics with Type III sum of squares. Statistics D₀ and D₂ generally performed best regarding Type-I error rates, and had power rates closest to that of Type III sum of squares. However, none of the statistics produced power rates higher than Type III sum of squares. The results lead to the conclusion that for multiply imputed datasets D₀ and D₂ may be the best methods for pooling the results of multiparameter estimates in multiply imputed datasets, and that for unbalanced data, Type III sum of square is to be preferred over using multiple imputation in obtaining ANOVA results.
This article has been retracted by agreement between the authors, the Editors-in-Chief (Jost Reinecke, José-Luis Padilla) and the publisher of the journal (Leibniz
Institute for Psychology). See: Retraction of: Van Ginkel, J. R., & Kroonenberg, P. M. (2020). Much ado about nothing: Multiple imputation to balance unbalanced designs for two-way analysis of variance. Methodology, 16(4), 335-353. https://doi.org/10.5964/meth.4327
Keyword(s)
unbalanced designs multiple imputation two-way analysis of variance missing data type III sum of squaresPersistent Identifier
Date of first publication
2020-12-22
Journal title
Methodology
Volume
16
Issue
4
Page numbers
335–353
Publisher
PsychOpen GOLD
Publication status
publishedVersion
Review status
peerReviewed
Is version of
Citation
van Ginkel, J. R., & Kroonenberg, P. M. (2020). Much ado about nothing: Multiple imputation to balance unbalanced designs for two-way analysis of variance. Methodology, 16(4), 335-353. https://doi.org/10.5964/meth.4327
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meth.v16i4.4327.pdfAdobe PDF - 324.06KBMD5: 6eca9b5c6b81469522d5679bda859aaf
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There are no other versions of this object.
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Author(s) / Creator(s)van Ginkel, Joost R.
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Author(s) / Creator(s)Kroonenberg, Pieter M.
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PsychArchives acquisition timestamp2022-04-14T11:24:46Z
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Made available on2022-04-14T11:24:46Z
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Date of first publication2020-12-22
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Abstract / DescriptionIn earlier literature, multiple imputation was proposed to create balance in unbalanced designs, as an alternative to Type III sum of squares in two-way ANOVA. In the current simulation study we studied four pooled statistics for multiple imputation, namely D₀, D₁, D₂, and D₃ in unbalanced data, and compared these statistics with Type III sum of squares. Statistics D₀ and D₂ generally performed best regarding Type-I error rates, and had power rates closest to that of Type III sum of squares. However, none of the statistics produced power rates higher than Type III sum of squares. The results lead to the conclusion that for multiply imputed datasets D₀ and D₂ may be the best methods for pooling the results of multiparameter estimates in multiply imputed datasets, and that for unbalanced data, Type III sum of square is to be preferred over using multiple imputation in obtaining ANOVA results.en_US
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Abstract / DescriptionThis article has been retracted by agreement between the authors, the Editors-in-Chief (Jost Reinecke, José-Luis Padilla) and the publisher of the journal (Leibniz Institute for Psychology). See: Retraction of: Van Ginkel, J. R., & Kroonenberg, P. M. (2020). Much ado about nothing: Multiple imputation to balance unbalanced designs for two-way analysis of variance. Methodology, 16(4), 335-353. https://doi.org/10.5964/meth.4327en
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Publication statuspublishedVersion
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Review statuspeerReviewed
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Citationvan Ginkel, J. R., & Kroonenberg, P. M. (2020). Much ado about nothing: Multiple imputation to balance unbalanced designs for two-way analysis of variance. Methodology, 16(4), 335-353. https://doi.org/10.5964/meth.4327en_US
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ISSN1614-2241
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Persistent Identifierhttps://hdl.handle.net/20.500.12034/5698
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Persistent Identifierhttps://doi.org/10.23668/psycharchives.6302
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Language of contenteng
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PublisherPsychOpen GOLD
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Is version ofhttps://doi.org/10.5964/meth.4327
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Is related tohttps://doi.org/10.23668/psycharchives.4422
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Is related tohttps://doi.org/10.23668/psycharchives.6305
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Keyword(s)unbalanced designsen_US
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Keyword(s)multiple imputationen_US
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Keyword(s)two-way analysis of varianceen_US
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Keyword(s)missing dataen_US
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Keyword(s)type III sum of squaresen_US
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Dewey Decimal Classification number(s)150
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TitleMuch ado about nothing: Multiple imputation to balance unbalanced designs for two-way analysis of varianceen_US
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DRO typearticle
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Issue4
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Journal titleMethodology
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Page numbers335–353
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Volume16
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Visible tag(s)Version of Recorden_US