A reliability coefficient for maximum likelihood factor analysis

by: Ledyard Tucker, Charles Lewis

Psychometrika, Vol. 38, No. 1. (1 March 1973), pp. 1-10.

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Abstract

Abstract Maximum likelihood factor analysis provides an effective method for estimation of factor matrices and a useful test statistic in the likelihood ratio for rejection of overly simple factor models. A reliability coefficient is proposed to indicate quality of representation of interrelations among attributes in a battery by a maximum likelihood factor analysis. Usually, for a large sample of individuals or objects, the likelihood ratio statistic could indicate that an otherwise acceptable factor model does not exactly represent the interrelations among the attributes for a population. The reliability coefficient could indicate a very close representation in this case and be a better indication as to whether to accept or reject the factor solution.

@article{tucker:lewis:1973, abstract = {Abstract\ \ Maximum likelihood factor analysis provides an effective method for estimation of factor matrices and a useful test statistic in the likelihood ratio for rejection of overly simple factor models. A reliability coefficient is proposed to indicate quality of representation of interrelations among attributes in a battery by a maximum likelihood factor analysis. Usually, for a large sample of individuals or objects, the likelihood ratio statistic could indicate that an otherwise acceptable factor model does not exactly represent the interrelations among the attributes for a population. The reliability coefficient could indicate a very close representation in this case and be a better indication as to whether to accept or reject the factor solution.}, author = {Tucker, Ledyard and Lewis, Charles }, citeulike-article-id = {3367551}, doi = {http://dx.doi.org/10.1007/BF02291170}, journal = {Psychometrika}, keywords = {factor\_analysis, latent\_variables, sem}, month = {March}, number = {1}, pages = {1--10}, posted-at = {2008-10-02 23:13:40}, priority = {2}, title = {A reliability coefficient for maximum likelihood factor analysis}, url = {http://dx.doi.org/10.1007/BF02291170}, volume = {38}, year = {1973} }

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TY - JOUR ID - tucker:lewis:1973 L3 - citeulike-article-id:3367551 N2 - Abstract  Maximum likelihood factor analysis provides an effective method for estimation of factor matrices and a useful test statistic in the likelihood ratio for rejection of overly simple factor models. A reliability coefficient is proposed to indicate quality of representation of interrelations among attributes in a battery by a maximum likelihood factor analysis. Usually, for a large sample of individuals or objects, the likelihood ratio statistic could indicate that an otherwise acceptable factor model does not exactly represent the interrelations among the attributes for a population. The reliability coefficient could indicate a very close representation in this case and be a better indication as to whether to accept or reject the factor solution. IS - 1 JF - Psychometrika EP - 10 TI - A reliability coefficient for maximum likelihood factor analysis VL - 38 SP - 1 KW - factor_analysis KW - latent_variables KW - sem AU - Tucker, Ledyard AU - Lewis, Charles PY - 1973/03/01/ UR - http://dx.doi.org/10.1007/BF02291170 ER -

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