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Peer reviewedDavidson, John – Psychometrika, 1973
The present paper generalizes the results obtained by Davidson (1972) for nondegenerate stimulus configurations. (Author)
Descriptors: Geometric Concepts, Models, Multidimensional Scaling, Psychometrics
Peer reviewedBechtel, Gordon G. – Psychometrika, 1973
It is the purpose of this paper to suggest the orthogonal analysis of variance as a device for simplifying either the analytic or iterative problem of finding LS (least squares) estimates for the parameters of particular nonlinear models. (Author/RK)
Descriptors: Analysis of Variance, Models, Multidimensional Scaling, Psychometrics
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 reviewedSrinivasan, V.; Shocker, Allan D. – Psychometrika, 1973
This paper offers a new methodology for analyzing individual differences in preference judgments with regard to a set of stimuli. (Author)
Descriptors: Algorithms, Goodness of Fit, Models, Multidimensional Scaling
Peer reviewedWang, Margaret C. – Child Development, 1973
Study is part of an ongoing research program whose cumulatime aim is to generate empirically validated hierarchical curriculum sequences in several basic skill areas appropriate to an early learning curriculum. (Author)
Descriptors: Curriculum Design, Elementary School Mathematics, Measurement, Multidimensional Scaling
Peer reviewedSpence, Ian – Psychometrika, 1972
Discusses the different strategies employed by three practical nonmetric multidimensional scaling algorithms using Monte Carlo techniques. (Author/RK)
Descriptors: Algorithms, Computer Programs, Error of Measurement, Evaluation Methods
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
