The Mathematical Theory of Factorial Invariance Under Selection  

Oleh:

Ahmavaara, Yrjö

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 19 no. 1 (Mar. 1954), page 27-38.
Topik: Mathematical Theory; Factorial Invariance; Linear Transformation; Invariances; Numerical Example
Fulltext: Vol 19 No 1 Mar 1954 p.27-38.pdf (536.53KB)

Isi artikel

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.

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