A Probabilistic Model for the Multidimensional Scaling of Proximity and Preference Data/Commentaries/Reply: Considerations in the Use of Probabilistic Multidimensional Scaling Models

A probabilistic multidimensional scaling model that estimates both location and variance parameters for proximity and preference data is presented and compared to a deterministic scaling model. Simulated and empirical choice data are employed to compare the models. Variance estimates from the probab...

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Veröffentlicht in:Marketing science (Providence, R.I.) R.I.), 1986-10, Vol.5 (4), p.325
Hauptverfasser: MacKay, David B, Zinnes, Joseph L, McMennamin, John L, Windal, Pierre M
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container_title Marketing science (Providence, R.I.)
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creator MacKay, David B
Zinnes, Joseph L
McMennamin, John L
Windal, Pierre M
description A probabilistic multidimensional scaling model that estimates both location and variance parameters for proximity and preference data is presented and compared to a deterministic scaling model. Simulated and empirical choice data are employed to compare the models. Variance estimates from the probabilistic model are applied to test a hypothesis about the homogeneity of stimulus perception under alternative modes of stimulus presentation. McMennamin comments that the mathematical analysis systems in MacKay and Zinnes (M-Z) are superb, but the input material too often is not. Windal regards M-Z's work as a useful extension of deterministic multidimensional scaling models, and M-Z reply that the probabilistic model they present is only a start, not the ultimate solution.
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source Informs; EBSCOhost Business Source Complete; Jstor Complete Legacy
subjects Mathematical models
Multiple
Probability
Scaling
Statistical analysis
Statistical methods
title A Probabilistic Model for the Multidimensional Scaling of Proximity and Preference Data/Commentaries/Reply: Considerations in the Use of Probabilistic Multidimensional Scaling Models
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