Fitting Unidimensional Choice Models with Nonmetric Multidimensional Scaling

Mark L. Davison; Phillip K. Wood

doi:10.1177/014662168300700309

Fitting Unidimensional Choice Models with Nonmetric Multidimensional Scaling

Mark L. Davison, Phillip K. Wood

Educational Psychology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A class of unidimensional choice models is de scribed. Thurstone's paired comparisons model, Case 5, and the Bradley-Terry-Luce model both fall into the class. A simple nonmetric method is presented for es timating scale values from choice data which satisfy any model in the class. In two examples, nonmetric scale values are compared to Thurstone estimates. The scaling method is extended to permit estimation of scale values in a class of unidimensional ordered-cate gory models, a class which includes the law of cate gorical judgment. © 1983, Sage Publications. All rights reserved.

Original language	English (US)
Pages (from-to)	333-340
Number of pages	8
Journal	Applied Psychological Measurement
Volume	7
Issue number	3
DOIs	https://doi.org/10.1177/014662168300700309
State	Published - 1983

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abstract = "A class of unidimensional choice models is de scribed. Thurstone's paired comparisons model, Case 5, and the Bradley-Terry-Luce model both fall into the class. A simple nonmetric method is presented for es timating scale values from choice data which satisfy any model in the class. In two examples, nonmetric scale values are compared to Thurstone estimates. The scaling method is extended to permit estimation of scale values in a class of unidimensional ordered-cate gory models, a class which includes the law of cate gorical judgment. {\textcopyright} 1983, Sage Publications. All rights reserved.",

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AB - A class of unidimensional choice models is de scribed. Thurstone's paired comparisons model, Case 5, and the Bradley-Terry-Luce model both fall into the class. A simple nonmetric method is presented for es timating scale values from choice data which satisfy any model in the class. In two examples, nonmetric scale values are compared to Thurstone estimates. The scaling method is extended to permit estimation of scale values in a class of unidimensional ordered-cate gory models, a class which includes the law of cate gorical judgment. © 1983, Sage Publications. All rights reserved.

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Fitting Unidimensional Choice Models with Nonmetric Multidimensional Scaling

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