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Martin, James K.; McDonald, Roderick P. – Psychometrika, 1975
A Bayesian procedure is given for estimation in unrestricted common factor analysis. A choice of the form of the prior distribution is justified. The procedure achieves its objective of avoiding inadmissible estimates of unique variances, and is reasonably insensitive to certain variations in the shape of the prior distribution. (Author/BJG)
Descriptors: Bayesian Statistics, Factor Analysis, Factor Structure, Mathematical Models
Peer reviewed Peer reviewed
Harper, Dean – Psychometrika, 1972
A procedure is outlined showing how the axiom of local independence for latent structure models can be weakened. (CK)
Descriptors: Algorithms, Factor Analysis, Factor Structure, Mathematical Applications
Peer reviewed Peer reviewed
Bloxom, Bruce – Psychometrika, 1972
Paper develops a model which expresses pair comparisons as a function of (a) affective values which form a perfect simplex, (b) systematic (constant over replications) deviations from the simplex-structured affective values, and (c) errors of measurement for the pair comparisons. (Author)
Descriptors: Analysis of Covariance, Factor Structure, Goodness of Fit, Mathematical Models
Peer reviewed Peer reviewed
Clarkson, Douglas B. – Psychometrika, 1979
The jackknife by groups and modifications of the jackknife by groups are used to estimate standard errors of rotated factor loadings for selected populations in common factor model maximum likelihood factor analysis. Simulations are performed in which t-statistics based upon these jackknife estimates of the standard errors are computed.…
Descriptors: Error of Measurement, Factor Analysis, Factor Structure, Mathematical Models
Peer reviewed Peer reviewed
Anderson, Carolyn J. – Psychometrika, 1996
Generalizations of L. A. Goodman's RC(M) association model (1991 and earlier) are presented for three-way tables. These three-mode association models use L. R. Tucker's three-mode components model (1964, 1966) to represent the three-factor interaction or the combined effects of two- and three-factor interactions. (SLD)
Descriptors: Classification, Data Analysis, Developmental Psychology, Equations (Mathematics)
Peer reviewed Peer reviewed
Tucker, Ledyard R. – Psychometrika, 1972
Descriptors: Factor Analysis, Factor Structure, Mathematical Models, Mathematics
Peer reviewed Peer reviewed
Anderson, James C.; Gerbing, David W. – Psychometrika, 1984
This study of maximum likelihood confirmatory factor analysis found effects of practical significance due to sample size, the number of indicators per factor, and the number of factors for Joreskog and Sorbom's (1981) goodness-of-fit index (GFI), GFI adjusted for degrees of freedom, and the root mean square residual. (Author/BW)
Descriptors: Factor Analysis, Factor Structure, Goodness of Fit, Mathematical Models