, Volume 48, Issue 4, pp 553-566

A maximum likelihood method for fitting the wandering vector model

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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.

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.