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Biometrika 2001 88(3):874-880; doi:10.1093/biomet/88.3.874
© 2001 by Biometrika Trust
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Miscellaneous

Conditional test for rank in bivariate canonical correlation analysis

B.Nielsen1

1 Nuffield College, Oxford OX1 1NF, U.Kbent.nielsen{at}nuf.ox.ac.uk

The likelihood ratio test for the hypothesis that the smaller of two canonical correlations is zero is nonsimilar; the distribution of the test statistic depends on the value of the largest canonical correlation.In applications the nuisance parameter usually has to be estimated, and this paper describes the distributional properties of the test, conditional on the estimator. Although these properties depend on the nuisance parameter, the dependency seems to be negligible for practical purposes.

Key Words: Canonical correlation; Conditional test; Nonsimilar test; Nuisance parameter


Received December 1998. Revised February 2001


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