A reliability coefficient for maximum likelihood factor analysis (original) (raw)
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.
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Authors and Affiliations
- University of Illinois, USA
Ledyard R Tucker & Charles Lewis
Authors
- Ledyard R Tucker
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Additional information
This research was supported by the Personnel and Training Research Programs Office of the Office of Naval Research under contract US NAVY/00014-67-A-0305-0003. Critical review of the development and suggestions by Richard Montanelli were most helpful.
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Tucker, L.R., Lewis, C. A reliability coefficient for maximum likelihood factor analysis.Psychometrika 38, 1–10 (1973). https://doi.org/10.1007/BF02291170
- Received: 30 June 1971
- Revised: 02 February 1972
- Issue Date: March 1973
- DOI: https://doi.org/10.1007/BF02291170