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| Pham, Tuan Dinh | 1 |
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Peer reviewedPham, Tuan Dinh; Mocks, Joachim – Psychometrika, 1992
Sufficient conditions are derived for the consistency and asymptotic normality of the least squares estimator of a trilinear decomposition model for multiway data analysis. The limiting covariance matrix is computed. (Author/SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Factor Analysis, Least Squares Statistics
Chan, Jason C. – 1991
The following seven statistical procedures are compared in terms of the ability to recover a unidimensional latent trait from Likert-type data: (1) factor analysis based on Pearson correlations (FA-PR); (2) factor analysis based on polychoric correlations (FA-PL); (3) the graded response model in item response theory (IRT-GRM); (4) internal…
Descriptors: Comparative Analysis, Computer Simulation, Correlation, Equations (Mathematics)
Download full textMuraki, Eiji; Carlson, James E. – 1993
A multidimensional item response theory (IRT) model for polytomously scored items, based on the graded response model and using the normal ogive, is developed; and an EM algorithm that may be used to estimate the parameters of the model is also discussed. The model is illustrated through a simulation study in which the polytomous item responses of…
Descriptors: Computer Graphics, Computer Simulation, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedMiller, Timothy R.; Hirsch, Thomas M. – Applied Measurement in Education, 1992
A procedure for interpreting multiple-discrimination indices from a multidimensional item-response theory analysis is described and demonstrated with responses of 1,635 high school students to a multiple-choice test. The procedure consists of converting discrimination parameter estimates to direction cosines and analyzing the angular distances…
Descriptors: Ability, Cluster Analysis, Comparative Analysis, Estimation (Mathematics)
