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COMPARISON BETWEEN TREATMENTS IN A REPEATED‐MEASUREMENT DESIGN: ANOVA AND MULTIVARIATE METHODS
Abstract
This paper investigates several methods available for testing comparisons between treatments in a repeated‐measurement design, within the framework of the general multinormal model. Various ratios are considered, and the weakest assumptions required for the validity of each F ratio are presented. When several F ratios are valid, power considerations are introduced for purposes of choice. Methods enabling the testing of validity assumptions are also presented, together with alternative multivariate statistics which can be used when no F ratio is valid. All procedures presented in the paper are illustrated by a numerical example.
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Citations
Cited by
Confidence intervals in within-subject designs: A simpler solution to Loftus and Masson's method
Cousineau, D. (2005) · Tutorials in Quantitative Methods for Psychology · doi:10.20982/tqmp.01.1.p042 · Cited by 1,874
Frison, L., & Pocock, S. J. (1992) · Statistics in Medicine · doi:10.1002/sim.4780111304 · Cited by 593
Color and emotion: effects of hue, saturation, and brightness
Wilms, L., & Oberfeld, D. (2018) · Psychological Research · doi:10.1007/s00426-017-0880-8 · Cited by 401
Save, E., Poucet, B., Foreman, N., & Buhot, M.-C. (1992) · Behavioral Neuroscience · doi:10.1037//0735-7044.106.3.447 · Cited by 385
The analysis of repeated measures designs: A review
Keselman, H. J., Algina, J., & Kowalchuk, R. K. (2001) · British Journal of Mathematical and Statistical Psychology · doi:10.1348/000711001159357 · Cited by 306
Metadata
- Authors
- Rouanet, H., & Lépine, D.
- Venue
- British Journal of Mathematical and Statistical Psychology
- Publisher
- Wiley
- Published
- 1970-11
- Volume
- 23
- Issue
- 2
- Pages
- 147-163
- ISSN
- 0007-1102 (ISSN-L)
- 2044-8317
- OpenAlex
- W2023174345
- Cited by
- 196
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: COMPARISON BETWEEN TREATMENTS IN A REPEATED‐MEASUREMENT DESIGN: ANOVA AND MULTIVARIATE METHODS. https://app.cochat.ai/papers/10.1111/j.2044-8317.1970.tb00440.x
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- Rouanet, H., & Lépine, D. (1970). COMPARISON BETWEEN TREATMENTS IN A REPEATED‐MEASUREMENT DESIGN: ANOVA AND MULTIVARIATE METHODS. British Journal of Mathematical and Statistical Psychology. https://doi.org/10.1111/j.2044-8317.1970.tb00440.x
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
