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A Maximum Likelihood Method for Fitting the Wandering Vector Model

Published online by Cambridge University Press:  01 January 2025

Geert De Soete  and
J. D. Carroll
Geert De Soete*
Affiliation:
University of Ghent
J. D. Carroll*
Affiliation:
Bell Laboratories
*
Requests for reprints should be sent to either Geert De Soete, Department of Psychology, University of Ghent, Henri Dunantlaan 2, B-9000 Ghent, Belgium; or to J. Douglas Carroll, Bell Laboratories, Room 2C-553, 600 Mountain Avenue, Murray Hill, New Jersey 07974.
Requests for reprints should be sent to either Geert De Soete, Department of Psychology, University of Ghent, Henri Dunantlaan 2, B-9000 Ghent, Belgium; or to J. Douglas Carroll, Bell Laboratories, Room 2C-553, 600 Mountain Avenue, Murray Hill, New Jersey 07974.
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Abstract

After introducing some extensions of a recently proposed probabilistic vector model for representing paired comparisons choice data, an iterative procedure for obtaining maximum likelihood estimates of the model parameters is developed. The possibility of testing various hypotheses by means of likelihood ratio tests is discussed. Finally, the algorithm is applied to some existing data sets for illustrative purposes.

Keywords

preferencepaired comparisons datamaximum likelihood multidimensional scalingmethod of successive categories

Information

Type
Original Paper
Information
Psychometrika , Volume 48 , Issue 4 , December 1983 , pp. 553 - 566
Copyright
Copyright © 1983 The Psychometric Society

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Footnotes

The first author is “Aspirant” of the Belgian “Nationaal Fonds voor Wetenschappelijk Onderzoek.” Part of the research reported in this paper was done while the first author stayed at the L. L. Thurstone Psychometric Laboratory of the University of North Carolina at Chapel Hill supported by a CRB Fellowship of the Belgian American Educational Foundation, Inc. The authors wish to express their gratitude to Thomas S. Wallsten and Joseph B. Kruskal for helpful discussions.

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