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van de Velden, Michel; Bijmolt, Tammo H. A. – Psychometrika, 2006
A method is presented for generalized canonical correlation analysis of two or more matrices with missing rows. The method is a combination of Carroll's (1968) method and the missing data approach of the OVERALS technique (Van der Burg, 1988). In a simulation study we assess the performance of the method and compare it to an existing procedure…
Descriptors: Multivariate Analysis, Matrices, Simulation, Comparative Testing
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Dzhafarov, Ehtibar N.; Colonius, Hans – Psychometrika, 2006
We describe a principled way of imposing a metric representing dissimilarities on any discrete set of stimuli (symbols, handwritings, consumer products, X-ray films, etc.), given the probabilities with which they are discriminated from each other by a perceiving system, such as an organism, person, group of experts, neuronal structure, technical…
Descriptors: Psychometrics, Stimuli, Probability, Discriminant Analysis
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Augustin, Thomas – Psychometrika, 2006
Stevens postulated that we can use the responses of a participant in a ratio scaling experiment directly to construct a psychophysical function representing the participant's sensations. Although Stevens' methods of constructing measurement scales are widely used in the behavioral sciences, the problem of which scale type is appropriate to…
Descriptors: Scaling, Mathematical Concepts, Responses, Measures (Individuals)
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Alf, Edward F., Jr.; Abrahams, Norman M. – Psychometrika, 1975
In applied and experimental research, it has been demonstrated that the extreme groups procedure is more powerful than the standard correlational approach for some values of the correlation and extreme group size. Methods are provided for using the covariance information that is usually discarded in the classical extreme groups approach.…
Descriptors: Comparative Analysis, Correlation, Experimental Groups, Mathematical Models
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Lenk, Peter; Wedel, Michel; Bockenholt, Ulf – Psychometrika, 2006
This paper presents a hierarchical Bayes circumplex model for ordinal ratings data. The circumplex model was proposed to represent the circular ordering of items in psychological testing by imposing inequalities on the correlations of the items. We provide a specification of the circumplex, propose identifying constraints and conjugate priors for…
Descriptors: Bayesian Statistics, Models, Psychological Testing, Correlation