The wandering ideal point model: A probabilistic multidimensional unfolding model for paired comparisons data

Geert De Soete; J. Douglas Carroll; Wayne S. DeSarbo

doi:10.1016/0022-2496(86)90040-4

The wandering ideal point model: A probabilistic multidimensional unfolding model for paired comparisons data

Geert De Soete, J. Douglas Carroll, Wayne S. DeSarbo

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Abstract

In analogy with the wandering vector model, a probabilistic multidimensional unfolding model is proposed for representing paired comparisons data. It is shown that contrary to other stochastic multidimensional unfolding models, the present model does not imply strong stochastic transitivity, only moderate stochastic transitivity. A maximum likelihood parameter estimation procedure is developed and an illustrative application is presented.

Original language	English (US)
Pages (from-to)	28-41
Number of pages	14
Journal	Journal of Mathematical Psychology
Volume	30
Issue number	1
DOIs	https://doi.org/10.1016/0022-2496(86)90040-4
State	Published - Mar 1986

All Science Journal Classification (ASJC) codes

Psychology(all)
Applied Mathematics

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10.1016/0022-2496(86)90040-4

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title = "The wandering ideal point model: A probabilistic multidimensional unfolding model for paired comparisons data",

abstract = "In analogy with the wandering vector model, a probabilistic multidimensional unfolding model is proposed for representing paired comparisons data. It is shown that contrary to other stochastic multidimensional unfolding models, the present model does not imply strong stochastic transitivity, only moderate stochastic transitivity. A maximum likelihood parameter estimation procedure is developed and an illustrative application is presented.",

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N2 - In analogy with the wandering vector model, a probabilistic multidimensional unfolding model is proposed for representing paired comparisons data. It is shown that contrary to other stochastic multidimensional unfolding models, the present model does not imply strong stochastic transitivity, only moderate stochastic transitivity. A maximum likelihood parameter estimation procedure is developed and an illustrative application is presented.

AB - In analogy with the wandering vector model, a probabilistic multidimensional unfolding model is proposed for representing paired comparisons data. It is shown that contrary to other stochastic multidimensional unfolding models, the present model does not imply strong stochastic transitivity, only moderate stochastic transitivity. A maximum likelihood parameter estimation procedure is developed and an illustrative application is presented.

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The wandering ideal point model: A probabilistic multidimensional unfolding model for paired comparisons data

Abstract

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