# Article

 Title: The determination of factors in linear models of factor analysis (English) Author: Kratochvíl, Petr Language: English Journal: Aplikace matematiky ISSN: 0373-6725 Volume: 35 Issue: 5 Year: 1990 Pages: 350-355 Summary lang: English . Category: math . Summary: The author shows that a decomposition of a covariance matrix $\bold{\sum = AA'}$ implies the corresponding model, i.e. the existence of factors $f_j$ such that $\sum a_{ij}f_j$ is true. The result is applied to the general linear model of factor analysis. A procedure for computing the factor score is proposed. (English) Keyword: factor score Keyword: linear model Keyword: existence of factors Keyword: singular value decomposition Keyword: decomposition of a covariance matrix MSC: 62H05 MSC: 62H25 idZBL: Zbl 0721.62060 idMR: MR1072605 . Date available: 2008-05-20T18:39:44Z Last updated: 2015-05-31 Stable URL: http://hdl.handle.net/10338.dmlcz/104416 . Reference: [1] T. W. Anderson: An Introduction to Multivariate Statistical Analysis.Second Edition, John Wiley & sons, 1984. Zbl 0651.62041, MR 0771294 Reference: [2] T. W Anderson, Herman Rubin: Statistical inference in factor analysis.Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability (Jerzy Neyman, ed.), Vol. V, University of California, Berkeley and Los Angeles, 1956. MR 0084943 Reference: [3] P. Blahuš: Factor analysis and its generalization.Matematický seminář SNTL, sv. 21, Praha 1985 (in Czech, russian translation to appear). Reference: [4] P. Kratochvíl J. Nekola: Modelling of the research activity with the use of factor analysis.(Czech). Ekonomicko-matematický obzor 15 (1979), 295-309. .

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