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Some New Test Criteria in Multivariate Analysis
Open accessAbstract
Three new test criteria are proposed for overall tests of hypotheses in multivariate analysis. They are based on the characteristic roots of certain matrices obtained from the product moment matrices of samples drawn from multivariate normal populations. The approximate distributions of the statistics involved in the tests are found as Type I or Type II Beta distributions.
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Cited by
A new method for non-parametric multivariate analysis of variance
Anderson, M. J. (2001) · Austral Ecology · doi:10.1111/j.1442-9993.2001.01070.pp.x · Cited by 13,828
FITTING MULTIVARIATE MODELS TO COMMUNITY DATA: A COMMENT ON DISTANCE-BASED REDUNDANCY ANALYSIS
McArdle, B. H., & Anderson, M. J. (2001) · Ecology · doi:10.1890/0012-9658(2001)082[0290:fmmtcd]2.0.co;2 · Cited by 4,001
On choosing a test statistic in multivariate analysis of variance
Olson, C. L. (1976) · Psychological Bulletin · doi:10.1037/0033-2909.83.4.579 · Cited by 649
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A note on a manova model applied to problems in growth curve
Khatri, C. G. (1966) · Annals of the Institute of Statistical Mathematics · doi:10.1007/bf02869518 · Cited by 371
Metadata
- Authors
- Pillai, K. C. S.
- Venue
- The Annals of Mathematical Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1955-03
- Volume
- 26
- Issue
- 1
- Pages
- 117-121
- ISSN
- 0003-4851 (ISSN-L)
- OpenAlex
- W2117613972
- Cited by
- 431
- References
- 0
- FWCI
- 1.74
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Pillai, K. C. S. (1955). Some New Test Criteria in Multivariate Analysis. The Annals of Mathematical Statistics. https://doi.org/10.1214/aoms/1177728599
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
