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Winsberg, Suzanne; Carroll, J. Douglas – Psychometrika, 1989
An Extended Two-Way Euclidean Multidimensional Scaling (MDS) model that assumes both common and specific dimensions is described and contrasted with the "standard" (Two-Way) MDS model. Illustrations with both artificial and real data on the judged similarity of nations are provided. (TJH)
Descriptors: Algorithms, Chi Square, Maximum Likelihood Statistics, Multidimensional Scaling
Peer reviewed Peer reviewed
ten Berge, Jos M. F. – Psychometrika, 1991
A globally optimal solution is presented for a class of functions composed of a linear regression function and a penalty function for the sums of squared regression weights. A completing-the-squares approach is used, rather than calculus, because it yields global minimality easily in two of three cases examined. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Mathematical Models, Matrices
Peer reviewed Peer reviewed
Takane, Yoshio; And Others – Psychometrika, 1995
A model is proposed in which different sets of linear constraints are imposed on different dimensions in component analysis and classical multidimensional scaling frameworks. An algorithm is presented for fitting the model to the data by least squares. Examples demonstrate the method. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Factor Analysis, Least Squares Statistics
Peer reviewed Peer reviewed
Zielman, Berrie; Heiser, Willem J. – Psychometrika, 1993
An algorithm based on the majorization theory of J. de Leeuw and W. J. Heiser is presented for fitting the slide-vector model. It views the model as a constrained version of the unfolding model. A three-way variant is proposed, and two examples from market structure analysis are presented. (SLD)
Descriptors: Algorithms, Classification, Equations (Mathematics), Estimation (Mathematics)
Peer reviewed Peer reviewed
Jedidi, Kamel; DeSarbo, Wayne S. – Psychometrika, 1991
A stochastic multidimensional scaling procedure is presented for analysis of three-mode, three-way pick any/"J" data. The procedure fits both vector and ideal-point models and characterizes the effect of situations by a set of dimension weights. An application in the area of consumer psychology is discussed. (SLD)
Descriptors: Algorithms, Consumer Economics, Equations (Mathematics), Estimation (Mathematics)
Peer reviewed Peer reviewed
Bissett, Randall; Schneider, Bruce – Psychometrika, 1991
The algorithm developed by B. A. Schneider (1980) for analysis of paired comparisons of psychological intervals is replaced by one proposed by R. M. Johnson. Monte Carlo simulations of pairwise dissimilarities and pairwise conjoint effects show that Johnson's algorithm can provide good metric recovery. (SLD)
Descriptors: Algorithms, Comparative Analysis, Computer Simulation, Equations (Mathematics)
Peer reviewed Peer reviewed
Bockenholt, Ulf; Bockenholt, Ingo – Psychometrika, 1991
A reparameterization of a latent class model is presented to classify and scale nomial and ordered categorical choice data simultaneously. The model extension represents a nonhomogeneous population as a mixture of homogeneous subpopulations. Simulated data and data from a magazine preference survey of 347 college students illustrate the model.…
Descriptors: Algorithms, Classification, College Students, Computer Simulation