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Biometrika 1981 68(3):647-651; doi:10.1093/biomet/68.3.647
© 1981 by Biometrika Trust
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Normalizing transformations of some statistics in multivariate analysis

SADANORI KONISHI

Institute of Statistical Mathematics Tokyo

A general procedure for finding normalizing transformations is applied to various statistics in multivariate analysis. It is shown that Fisher's z transformation for a sample correlation coefficient in a normal sample and Wilson & Hilferty's approximation for a chi-squared variate can be derived by the same line of approach.

Key Words: Canonical correlation • Fisher's z transformation • Latent root • Normalizing transformation • Sample covariance matrix


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Fisher's Tanh 1 Transformation of the Correlation Coefficient and a Test for Complete Independence in a Multivariate Normal Population
Journal of Educational and Behavioral Statistics, January 1, 1987; 12(3): 294 - 300.
[Abstract] [PDF]



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