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Specification and Estimation of Mean- and Covariance-Structure Models

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Handbook of Statistical Modeling for the Social and Behavioral Sciences

Abstract

The analysis of moment structures originated with the factor analysis model and with some simple pattern hypotheses concerning equality of elements of mean vectors and covariance matrices. They have more recently received considerable attention and been expanded to incorporate a variety of additional models. Covariance structures, some with associated mean structures, occur in psychology, economics, education, marketing, sociology, biometrics, and other disciplines. Most models involving covariance structures that are in current use are related to the factor analysis model in some way, either by being special cases with restrictions on parameters or, more commonly, extensions incorporating additional assumptions.

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Authors and Affiliations

  1. Department of Psychology, Ohio State University, 142 Townshend Hall, 1885 Neil Avenue Mall, Columbus, OH, 43210, USA

    Michael W. Browne

  2. Department of Economics, Bergische Universität—GH Wuppertal, 42097, Wuppertal, Germany

    Gerhard Arminger

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  1. Michael W. Browne
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Editors and Affiliations

  1. Department of Economics, Bergische Universität-GH Wuppertal, D-42097, Wuppertal, Germany

    Gerhard Arminger

  2. Department of Sociology and Department of Statistics, Late of Pennsylvania State University, 16802, University Park, Pennsylvania, USA

    Clifford C. Clogg

  3. Department of Sociology, University of Arizona, 85721, Tucson, Arizona, USA

    Michael E. Sobel

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Browne, M.W., Arminger, G. (1995). Specification and Estimation of Mean- and Covariance-Structure Models. In: Arminger, G., Clogg, C.C., Sobel, M.E. (eds) Handbook of Statistical Modeling for the Social and Behavioral Sciences. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1292-3_4

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