Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-25T13:14:25.968Z Has data issue: false hasContentIssue false

A note on the construction of confidence intervals for the coefficients of a second canonical variable

Published online by Cambridge University Press:  24 October 2008

J. Radcliffe
Affiliation:
University of Leeds

Extract

The goodness of fit of hypothetical discriminant functions has been discussed by Bartlett(1), Kshirsagar(2, 3), Radcliffe(4) and Williams (5–8). The associated problem of obtaining confidence intervals for the coefficients of a single discriminant function or canonical variable has been dealt with by Bartlett (1).

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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), 199214.CrossRefGoogle ScholarPubMed
(2)Kshirsagar, A. M.A note on direction and collinearity factors in canonical analysis. Biometrika 49 (1962), 255259.CrossRefGoogle Scholar
(3)Kshirsagar, A. M.Distributions of the direction and collinearity factors in discriminant analysis. Proc. Cambridge Philos. Soc. 60 (1964), 217225.CrossRefGoogle Scholar
(4)Radcliffe, J.Factorizations of the residual likelihood criterion in discriminant analysis. Proc. Cambridge Philos. Soc. 62 (1966), 743752.CrossRefGoogle Scholar
(5)Williams, E. J.Some exact tests in multivariate analysis. Biometrika 39 (1952), 1731.CrossRefGoogle Scholar
(6)Williams, E. J.Significance tests for discriminant functions and linear functional relationship. Biometrika 42 (1955), 360381.CrossRefGoogle Scholar
(7)Williams, E. J.Tests for discriminant functions. J. Austral. Math. Soc. 2 (1961), 243252.CrossRefGoogle Scholar
(8)Williams, E. J.The analysis of association among many variates. J. Roy. Statist Soc. 29 (1967), 199242.Google Scholar