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A note on tests of significance in multivariate analysis
Abstract
Multivariate generalizations. In multivariate statistical analysis, common terms such as variances and correlation coefficients have received certain generalizations. Wilks (7) has called the determinant |V|, where V is the matrix of variances and covariances between several variates, a generalized variance; certain ratios of such determinants have been called by Hotelling(5) vector correlation coefficients and vector alienation coefficients. While these determinantal functions have properties which justify to some extent this kind of generalization, it sometimes seems more reasonable to leave any generalized parameters, or corresponding sample statistics, in the form of matrices of elementary quantities. This is stressed by the formal analogy which then often exists between the generalized and the elementary formulae.
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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
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
(2004) · Springer Texts in Statistics · doi:10.1007/b98963 · Cited by 517
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
- Bartlett, M. S.
- Venue
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publisher
- Cambridge University Press (CUP)
- Published
- 1939-04
- Volume
- 35
- Issue
- 2
- Pages
- 180-185
- ISSN
- 0305-0041 (ISSN-L)
- 1469-8064
- OpenAlex
- W2006926846
- Cited by
- 158
- References
- 0
- FWCI
- 1.77
- Type
- journal article
- Language
- en
- Open access
- closed
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- Bartlett, M. S. (1939). A note on tests of significance in multivariate analysis. Mathematical Proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/s0305004100020880
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