The mathematical theory of factorial invariance under selection View Full Text


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Article Info

DATE

1954-03

AUTHORS

Yrjö Ahmavaara

ABSTRACT

It is first demonstrated that Aitken's selection formulas are equivalent to a linear transformation in the factor space. On this basis the Thomson-Ledermann theorem concerning the invariance of the number of common factors under selection, and a theorem concerning the invariance of factor loadings under selection are derived. A mathematical proof of the results of Thurstone, which are concerned with the invariance of simple structure under selection, is given. The paper provides a conclusive answer to the question, considered by Thurstone and Thomson, whether a multivariate selection is always reducible to successive univariate selections. More... »

PAGES

27-38

Journal

TITLE

Psychometrika

ISSUE

1

VOLUME

19

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02288991

DOI

http://dx.doi.org/10.1007/bf02288991

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1004900711


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