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September, 1963 Multivariate Theory for General Stepwise Methods
A. P. Dempster
Ann. Math. Statist. 34(3): 873-883 (September, 1963). DOI: 10.1214/aoms/1177704010


This paper presents null hypothesis distribution theory for certain methods of significance testing applicable to multivariate data. This theory is derived in Sections 2 and 3 using simple geometrical reasoning. Section 3 derives theory related to stepwise methods in a form sufficiently general to include both the standard methods of Section 4 and certain new methods based on principal variables of Section 5. The generality in Section 3 is made possible by the independence results proved in Section 2.


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A. P. Dempster. "Multivariate Theory for General Stepwise Methods." Ann. Math. Statist. 34 (3) 873 - 883, September, 1963.


Published: September, 1963
First available in Project Euclid: 27 April 2007

zbMATH: 0116.36602
MathSciNet: MR152058
Digital Object Identifier: 10.1214/aoms/1177704010

Rights: Copyright © 1963 Institute of Mathematical Statistics

Vol.34 • No. 3 • September, 1963
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