A class of unidimensional choice models is described.
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 estimating
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-category
models, a class which includes the law of categorical
Davison, Mark L & Wood, Phillip K. (1983). Fitting unidimensional choice models with nonmetric multidimensional scaling. Applied Psychological Measurement, 7, 333-340. doi:10.1177/014662168300700309
Davison, Mark L.; Wood, Phillip K..
Fitting unidimensional choice models with nonmetric multidimensional scaling.
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