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Bentler, P. M.; Tanaka, Jeffrey S. – Psychometrika, 1983
Rubin and Thayer recently presented equations to implement maximum likelihood estimation in factor analysis via the EM algorithm. It is argued here that the advantages of using the EM algorithm remain to be demonstrated. (Author/JKS)
Descriptors: Algorithms, Factor Analysis, Maximum Likelihood Statistics, Research Problems
Peer reviewed Peer reviewed
Rubin, Donald B.; Thayer, Dorothy T. – Psychometrika, 1983
The authors respond to a criticism of their earlier article concerning the use of the EM algorithm in maximum likelihood factor analysis. Also included are the comments made by the reviewers of this article. (JKS)
Descriptors: Algorithms, Estimation (Mathematics), Factor Analysis, Maximum Likelihood Statistics
Peer reviewed Peer reviewed
Ichikawa, Masanori; Konishi, Sadanori – Psychometrika, 1995
A Monte Carlo experiment was conducted to investigate the performance of bootstrap methods in normal theory maximum likelihood factor analysis when the distributional assumption was satisfied or unsatisfied. Problems arising with the use of bootstrap methods are highlighted. (SLD)
Descriptors: Factor Analysis, Maximum Likelihood Statistics, Monte Carlo Methods, Statistical Distributions
Peer reviewed Peer reviewed
Etezadi-Amoli, Jamshid; McDonald, Roderick P. – Psychometrika, 1983
Nonlinear common factor models with polynomial regression functions, including interaction terms, are fitted by simultaneously estimating the factor loadings and common factor scores, using maximum likelihood and least squares methods. A Monte Carlo study gives support to a conjecture about the form of the distribution of the likelihood ratio…
Descriptors: Aphasia, Data Analysis, Estimation (Mathematics), Factor Analysis
Peer reviewed Peer reviewed
Ethington, Corinna A. – Journal of Experimental Education, 1987
This study examined the effect of type of correlation matrix on the robustness of LISREL maximum likelihood and unweighted least squares structural parameter estimates for models with categorical variables. The analysis of mixed matrices produced estimates that closely approximated the model parameters except where dichotomous variables were…
Descriptors: Computer Software, Estimation (Mathematics), Factor Analysis, Least Squares Statistics
Mislevy, Robert J. – 1985
This paper reviews recent work in factor analysis of categorical variables. Emphasis is on the generalized least squares solution. A section on maximum likelihood solution focuses on extensions of the classical model, especially the normal case. Many of the recent developments have taken place within this context, and it provides a unified…
Descriptors: Correlation, Estimation (Mathematics), Factor Analysis, Factor Structure
Peer reviewed Peer reviewed
Cattell, Raymond B.; Krug, Samuel E. – Educational and Psychological Measurement, 1986
Critics have occasionally asserted that the number of factors in the 16PF tests is too large. This study discusses factor-analytic methodology and reviews more than 50 studies in the field. It concludes that the number of important primaries encapsulated in the series is no fewer than the stated number. (Author/JAZ)
Descriptors: Correlation, Cross Cultural Studies, Factor Analysis, Maximum Likelihood Statistics
Rabinowitz, Stanley N.; Pruzek, Robert – 1978
Despite advances in common factor analysis, a review of 89 studies published in four selected journals between 1963 and 1976 indicated that behavioral scientists preferred principal components analysis, followed by varimax or orthogonal rotation. Resultant row sums of squares of factor matrices from principal component analyses of real data sets…
Descriptors: Bayesian Statistics, Comparative Analysis, Educational Research, Factor Analysis
Mislevy, Robert J. – Journal of Education Statistics, 1986
Recent work in factor analysis of categorical variables is reviewed, emphasizing a generalized least squares solution and a maximum likelihood approach. A common factor model for dichotomous items is introduced, and the estimation of factor loadings from matrices of tetracorrelations is discussed. (LMO)
Descriptors: Bayesian Statistics, Estimation (Mathematics), Factor Analysis, Goodness of Fit