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.
Keywords
StatisticsStatisticLikelihood-ratio testMathematicsReliability (semiconductor)Maximum likelihoodRepresentation (politics)Restricted maximum likelihoodFactor (programming language)Likelihood principleFactor analysisPopulationMaximum likelihood sequence estimationLikelihood functionEconometricsQuasi-maximum likelihoodComputer sciencePower (physics)
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Publication Info
- Year
- 1973
- Type
- article
- Volume
- 38
- Issue
- 1
- Pages
- 1-10
- Citations
- 7099
- Access
- Closed
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Cite This
Ledyard R Tucker,
Charles Lewis
(1973).
A Reliability Coefficient for Maximum Likelihood Factor Analysis.
Psychometrika
, 38
(1)
, 1-10.
https://doi.org/10.1007/bf02291170
Identifiers
- DOI
- 10.1007/bf02291170