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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
Tucker, Ledyard R. – Psychometrika, 1972
Descriptors: Factor Analysis, Factor Structure, Mathematical Models, Mathematics
Peer reviewed Peer reviewed
De Ayala, R. J.; Hertzog, Melody A. – Multivariate Behavioral Research, 1991
Multidimensional scaling (MDS) and exploratory and confirmatory factor analyses were compared in the assessment of the dimensionality of data sets, using sets generated to be one-dimensional or two-dimensional and differing in degree of interdimensional correlation and number of items defining a dimension. (SLD)
Descriptors: Comparative Analysis, Correlation, Equations (Mathematics), Factor Structure
Doody, Evelyn N. – 1985
The effects of varying degrees of correlation between abilities and of various correlation configurations between item parameters on ability and item parameter estimation using the three parameter logistic model were examined. Ten two-trait configurations and one unidimensional test configuration for 30 item tests were simulated. Each…
Descriptors: Computer Simulation, Estimation (Mathematics), Factor Structure, Item Analysis
Peer reviewed Peer reviewed
Marsh, Herbert W.; Richards, Gary E. – Multivariate Behavioral Research, 1987
The factorial structure of the Rotter Internal-External (IE) scale was examined. While there was strong evidence against the unidimensionality of the Rotter scale, the findings suggested that the first-order factors do define a single higher-order construct that may represent the generalized IE construct. (Author/LMO)
Descriptors: Construct Validity, Factor Analysis, Factor Structure, Goodness of Fit
Bart, William M.; Airasian, Peter W. – 1976
The question of whether test factor structure is indicative of the test item hierarchy was examined. Data from 1,000 subjects on two sets of five bivalued Law School Admission Test items, which were analyzed with latent trait methods of Bock and Lieberman and of Christoffersson in Psychometrika, were analyzed with an ordering-theoretic method to…
Descriptors: Comparative Analysis, Correlation, Factor Analysis, Factor Structure
Peer reviewed Peer reviewed
Kenny, David A.; Zautra, Alex – Journal of Consulting and Clinical Psychology, 1995
Describes a new approach for analyzing an individual's responses made at multiple times. Proposes that three sources of variance determine a person's current standing on a variable: trait (term does not change), state (term changes), and error (random term). Shows how structural equation modeling can be used and presents an extended example. (RJM)
Descriptors: Clinical Psychology, Factor Analysis, Factor Structure, Item Analysis
Muraki, 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)