The DOI matches its Crossref record; 37 of the 37 references it cites were found in a registry or an index.
On choosing a test statistic in multivariate analysis of variance
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“Accordingly, Pillai's Trace was used as a multivariate test statistic to control for inflation in Type I error rate (45).”
From Improving Acceptability and Uptake Behavior for Internet-Based Cognitive-Behavioral Therapy (2021) · cites this paper as [45]
Citations
Cites
Statistical principles in experimental design.
Winer, B. J. (1962) · McGraw-Hill Book Company · doi:10.1037/11774-000 · Cited by 27,137
An Introduction to Multivariate Statistical Analysis
Muirhead, R. J., & Anderson, T. W. (1986) · Journal of Business and Economic Statistics · doi:10.2307/1391399 · Cited by 9,179
Scheffé, H. (1960) · Soil Science · doi:10.1097/00010694-196006000-00016 · Cited by 5,625
Advanced Statistical Methods In Biometric Research
Rao, C. R. (1952) · Birchandra State Central Library,tripura · Cited by 1,953
(2008) · Springer eBooks · doi:10.1007/978-1-4020-5614-7_2260 · Cited by 1,924
An analysis of transformations (with discussion)
Box, G. E. P. (1964) · Journal of the Royal Statistical Society Series A (Statistics in Society) · Cited by 1,891
Timm, N. H. (2004) · Springer eBooks · doi:10.1007/b98963 · Cited by 1,664
Bartlett, M. S. (1947) · Biometrics · doi:10.2307/3001536 · Cited by 1,253
CERTAIN GENERALIZATIONS IN THE ANALYSIS OF VARIANCE
Wilks, S. S. (1932) · Biometrika · doi:10.1093/biomet/24.3-4.471 · Cited by 1,011
Robust Estimates, Residuals, and Outlier Detection with Multiresponse Data
Gnanadesikan, R., & Kettenring, J. R. (1972) · Biometrics · doi:10.2307/2528963 · Cited by 826
Cited by
Sorted by citations
Distance‐Based Tests for Homogeneity of Multivariate Dispersions
Anderson, M. J. (2006) · Biometrics · doi:10.1111/j.1541-0420.2005.00440.x · Cited by 3,304
“However, the use of simulations to compare power among several statistical methods for particular alternative hypotheses is valid and useful, especially for multivariate tests such as those examined here, where potential alternative hypotheses have so many facets (Olson, 1976; Rencher, 1998).”
MethodLegendre, P., & Anderson, M. J. (1999) · Ecological Monographs · doi:10.1890/0012-9615(1999)069[0001:dbratm]2.0.co;2 · Cited by 2,761
“For some comparisons of various parametric MANOVA statistics and their properties, see Johnson and Field (1993) and Olson (1974, 1976).”
MANOVA method for analyzing repeated measures designs: An extensive primer.
O'Brien, R. G., & Kaiser, M. K. (1985) · Psychological Bulletin · doi:10.1037/0033-2909.97.2.316 · Cited by 1,148
“Olson (1974, 1976) compared these statistics, along with other statistics, and recommended Pillai's for general use.”
Resultvan der Heijden, M. G. A., Boller, T., Wiemken, A., & Sanders, I. R. (1998) · Ecology · doi:10.1890/0012-9658(1998)079[2082:damfsa]2.0.co;2 · Cited by 784
“The robustness of multivariate test statistics with unequal covariance matrices is, however, relatively high, so that type I errors are negligible (Olson 1976, Stevens 1979).”
BackgroundPotvin, C., Lechowicz, M. J., & Tardif, S. (1990) · Ecology · doi:10.2307/1938276 · Cited by 657
Metadata
- Authors
- Olson, C. L.
- Affiliations
- McGill University (CA)
- Corresponding author
- Olson, Chester L.
- Venue
- Psychological Bulletin
- Published
- 1976-07
- Volume
- 83
- Issue
- 4
- Pages
- 579-586
- ISSN
- 0033-2909 (ISSN-L)
- 1939-1455
- OpenAlex
- W2059439688
- Cited by
- 649
- References
- 37
- Citations by year
- 2026: 31 · 2025: 18 · 2024: 20 · 2023: 19 · 2022: 12 · 2021: 17 · 2020: 18 · 2019: 17 · 2018: 20 · 2017: 13 · 2016: 37 · 2015: 21 · 2014: 20 · 2013: 7 · 2012: 19
- FWCI
- 16.37
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Psychological Bulletin (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Statistical Methods and Models
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Keywords
- multivariate analysis of variance, hypothesis testing
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