Cited by 152Statistical Methods and Bayesian InferenceStatistical Methods and ApplicationsMeta-analysis and systematic reviews

Analysis of Variance of Multiply Imputed Data

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van Ginkel, Joost R., Kroonenberg, Pieter M.·2014·Multivariate Behavioral Research

Abstract

As a procedure for handling missing data, Multiple imputation consists of estimating the missing data multiple times to create several complete versions of an incomplete data set. All these data sets are analyzed by the same statistical procedure, and the results are pooled for interpretation. So far, no explicit rules for pooling F tests of (repeated-measures) analysis of variance have been defined. In this article we outline the appropriate procedure for the results of analysis of variance (ANOVA) for multiply imputed data sets. It involves both reformulation of the ANOVA model as a regression model using effect coding of the predictors and applying already existing combination rules for regression models. The proposed procedure is illustrated using 3 example data sets. The pooled results of these 3 examples provide plausible F and p values.

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  1. Winer BJ Statistical principles in experimental designs 1971 2nd ed New York McGraw-Hill

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Authors
van Ginkel, J. R., & Kroonenberg, P. M.
Affiliations
  • Leiden University
  • Leiden University (NL)
Venue
Multivariate Behavioral Research
Published
2014-01
Volume
49
Issue
1
Pages
78-91
ISSN
  • 0027-3171 (ISSN-L)
  • 1532-7906
OpenAlex
W2155931297
Cited by
152
References
33
Citations by year
2026: 6 · 2025: 9 · 2024: 11 · 2023: 12 · 2022: 12 · 2021: 13 · 2020: 13 · 2019: 17 · 2018: 16 · 2017: 20 · 2016: 12 · 2015: 5 · 2014: 5
FWCI
14.80
Type
journal article
Language
en
Open access
Locations
  • Multivariate Behavioral Research (publishedVersion)
  • PubMed (publishedVersion)
  • PubMed Central (acceptedVersion)
Funders
National Institute on Aging (R01AG008235)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
  • Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
Keywords
multiple imputation, analysis of variance, missing data, repeated measures ANOVA

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