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The analysis of repeated measures designs: A review
Abstract
Repeated measures ANOVA can refer to many different types of analysis. Specifically, this vague term can refer to conventional tests of significance, one of three univariate solutions with adjusted degrees of freedom, two different types of multivariate statistic, or approaches that combine univariate and multivariate tests. Accordingly, it is argued that, by only reporting probability values and referring to statistical analyses as repeated measures ANOVA, authors convey neither the type of analysis that was used nor the validity of the reported probability value, since each of these approaches has its own strengths and weaknesses. The various approaches are presented with a discussion of their strengths and weaknesses, and recommendations are made regarding the ‘best’ choice of analysis. Additional topics discussed include analyses for missing data and tests of linear contrasts.
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“Under the MAR assumption, the maximum likelihood approach and multiple imputation will yield sensible parameter estimates.62”
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Metadata
- Authors
- Keselman, H. J., Algina, J., & Kowalchuk, R. K.
- Affiliations
- University of Manitoba (CA)
- University of Florida (US)
- Corresponding author
- Keselman, H. J.
- ORCID
- Algina, James
- Venue
- British Journal of Mathematical and Statistical Psychology
- Publisher
- Wiley
- Published
- 2001-05
- Volume
- 54
- Issue
- 1
- Pages
- 1-20
- ISSN
- 0007-1102 (ISSN-L)
- 2044-8317
- OpenAlex
- W2125118056
- Cited by
- 306
- References
- 76
- Citations by year
- 2026: 16 · 2025: 18 · 2024: 20 · 2023: 14 · 2022: 8 · 2021: 12 · 2020: 6 · 2019: 6 · 2018: 10 · 2017: 9 · 2016: 13 · 2015: 13 · 2014: 16 · 2013: 18 · 2012: 15
- FWCI
- 12.12
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- British Journal of Mathematical and Statistical Psychology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Life Sciences › Agricultural and Biological Sciences › Agronomy and Crop Science › Agriculture, Soil, Plant Science
- Keywords
- repeated measures ANOVA, multivariate analysis of variance, univariate analysis, missing data, linear contrasts, statistical reporting
- MeSH terms
- Analysis of Variance, Data Interpretation, Statistical, Humans, Probability, Psychometrics, Reproducibility of Results
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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