Hostname: page-component-77c89778f8-vsgnj Total loading time: 0 Render date: 2024-07-16T21:48:35.691Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Distribution of the Direction and Collinearity Factors in Discriminant Analysis

Published online by Cambridge University Press:  20 November 2018

R. P. Gupta  and
R. D. Gupta
R. P. Gupta
Affiliation:
Dalhousie University, Halifax, N. S., Canada
R. D. Gupta
Affiliation:
Dalhousie University, Halifax, N. S., Canada
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

If the samples of sizes n1, n2,…, nq+1 are available from (q+1) normal populations with different mean vectors μα, α=l, 2,…, q+1 and the same covariance matrix ∑ and if x’=(x1, x2, …, xp) denotes the vector of p variates on which the measurements are made, then we obtain the following multivariate analysis of variance table.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 2 , 01 June 1974 , pp. 277 - 281
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Bartlett, M. S., The goodness of fit of a single hypothetical discriminant function in the case of several groups. Ann. Eugen. 16 (1951) 199-214.Google Scholar
2. Gupta, R. P. and Kabe, D. G., Distribution of certain factors in discriminant analysis. Ann. Inst. Statist. Math. 23 (1971) 97-103.Google Scholar
3. Radcliffe, J., The distribution of certain factors occurring in discriminant analysis. Proc. Camb. Phil. Soc. 64 (1968) 731-740.Google Scholar
4. Williams, , Some, E. J. exact tests in multivariate analysis. Biometrika. 39 (1952) 17-31.Google Scholar