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Vera, J. Fernando; Macias, Rodrigo; Heiser, Willem J. – Psychometrika, 2009
In this paper, we propose a cluster-MDS model for two-way one-mode continuous rating dissimilarity data. The model aims at partitioning the objects into classes and simultaneously representing the cluster centers in a low-dimensional space. Under the normal distribution assumption, a latent class model is developed in terms of the set of…
Descriptors: Multidimensional Scaling, Probability, Item Response Theory, Models
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Wainer, Howard; Schacht, Stephen – Psychometrika, 1978
Tukey's scheme for finding separations in univariate data strings is described and tested. It is found that one can use the size of a data gap coupled with its ordinal position in the distribution to determine the likelihood of its having arisen by chance. (Author/JKS)
Descriptors: Data Analysis, Goodness of Fit, Probability, Statistical Analysis
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Smith, Robert A. – Psychometrika, 1971
Descriptors: Data Analysis, Data Collection, Groups, Probability
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McClelland, Gary; Coombs, Clyde H. – Psychometrika, 1975
ORDMET is applicable to structures obtained from additive conjoint measurement designs, unfolding theory, general Fechnerian scaling, types of multidimensional scaling, and ordinal multiple regression. A description is obtained of the space containing all possible numerical representations which can satisfy the structure, size, and shape of which…
Descriptors: Algorithms, Computer Programs, Data Analysis, Matrices
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Hettmansperger, Thomas P.; Thomas, Hoben – Psychometrika, 1973
This paper presents a procedure for estimating J scale (latent continuum) probabilities given a set of I scales (preference judgements). (Editor/RK)
Descriptors: Child Psychology, Computers, Data Analysis, Models
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Lewis, Charles; And Others – Psychometrika, 1975
A Bayesian Model II approach to the estimation of proportions in m groups is extended to obtain posterior marginal distributions for the proportions. The approach is extended to allow greater use of prior information than previously and the specification of this prior information is discussed. (Author/RC)
Descriptors: Bayesian Statistics, Data Analysis, Individualized Instruction, Models
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Erosheva, Elena A. – Psychometrika, 2005
This paper focuses on model interpretation issues and employs a geometric approach to compare the potential value of using the Grade of Membership (GoM) model in representing population heterogeneity. We consider population heterogeneity manifolds generated by letting subject specific parameters vary over their natural range, while keeping other…
Descriptors: Mathematical Formulas, Research Methodology, Models, Comparative Analysis