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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)
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Miller, 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)