On the empirical equivalence of regression components and common factors | Zendy

Steiger James H. | Zendy

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On the empirical equivalence of regression components and common factors

Author(s) -

Steiger James H.

Publication year - 1980

Publication title -

british journal of mathematical and statistical psychology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.157

H-Index - 51

eISSN - 2044-8317

pISSN - 0007-1102

DOI - 10.1111/j.2044-8317.1980.tb00608.x

Subject(s) - mathematics , equivalence (formal languages) , factor regression model , factor analysis , regression analysis , regression , statistics , econometrics , factor (programming language) , component (thermodynamics) , set (abstract data type) , polynomial regression , discrete mathematics , proper linear model , computer science , physics , thermodynamics , programming language

Schönemann & Steiger (1976, Theorem 5) proved that the common factor model fits a given set of observed variables if and only if a restricted regression component model fits the same variables. In the present paper a number of results, relating factor score estimates and the class of all sets of ‘factor‐equivalent’ regression components, are presented. These results clarify and extend a result given by McDonald (1977).

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