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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
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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
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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