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Factor analysis of multiple batteries by maximum likelihood
Author(s) -
Browne M. W.
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.tb00607.x
Subject(s) - generalization , canonical correlation , battery (electricity) , factor (programming language) , identification (biology) , maximum likelihood , mathematics , computer science , algorithm , statistics , mathematical optimization , mathematical analysis , power (physics) , physics , botany , quantum mechanics , biology , programming language
McDonald's (1970) generalization of Tucker's (1958) inter‐battery factor analysis model to multiple batteries is considered. The identification of parameters is examined and an iterative algorithm for obtaining maximum‐likelihood estimates is provided. Consideration of the relationship between inter‐battery factor analysis and canonical correlation analysis in the case of two batteries suggests a generalization of canonical coefficients to the situation where there are several batteries. Examples of the application of the procedure are given.