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Peer reviewedSchonemann, Peter H.; Wang, Ming Mei – Psychometrika, 1972
A model for the analysis of paired comparison data is presented which is metric, mathematically tractable, and has an exact algebraic solution. (Authors/MB)
Descriptors: Algorithms, Individual Differences, Mathematical Models, Multidimensional Scaling
Peer reviewedSchonemann, Peter H. – Psychometrika, 1972
Paper shows that an obvious generalization of the subjective metrics model by Bloxom, Horan, Carroll and Chang has a very simple algebraic solution which was previously considered by Meredith in a different context. (Author)
Descriptors: Algebra, Analytic Geometry, Mathematical Models, Measurement Techniques
Peer reviewedYoung, Forrest W.; Cliff, Norman – Psychometrika, 1972
A metric multidimensional scaling (MDS) procedure based on computer-subject interaction is developed, and an experiment designed to validate the procedure is presented. (Author)
Descriptors: Algorithms, Mathematical Models, Multidimensional Scaling, Predictive Measurement
Download full textReckase, Mark D.; McKinley, Robert L. – 1982
This paper reviews the existing multidimensional item response theory (IRT) models and demonstrates how one of the models can be applied to estimation of abilities from a test measuring more than one dimension. The purposes of this paper were threefold. First, the fundamental concepts required when considering multidimensional models for the…
Descriptors: Estimation (Mathematics), Higher Education, Latent Trait Theory, Mathematical Models
Peer reviewedSherman, Charles R. – Psychometrika, 1972
Results provide a first step toward the establishment of guidelines for the experimenter who wishes to use nonmetric multidimensional scaling effectively, especially when an underlying configuration is hypothesized. (Author)
Descriptors: Analysis of Covariance, Analysis of Variance, Evaluation, Goodness of Fit
