A multistage ranking model |
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Authors: | Xu Liqun |
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Institution: | (1) University of Toronto, Canada;(2) 2077 De Maisonneuve Blvd. West, Apt.45, H3H 1K9 Montreal, QC, Canada |
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Abstract: | In this paper, we propose a (n–1)2 parameter, multistage ranking model, which represents a generalization of Luce's model. We propose then×n item-rank relative frequency matrix (p-matrix) as a device for summarizing a set of rankings. As an alternative to the traditional maximum likelihood estimation, for the proposed model we suggest a method which estimates the parameters from thep-matrix. An illustrative numerical example is given. The proposed model and its differences from Luce's model are briefly discussed. We also show some specialp-matrix patterns possessed by the Thurstonian models and distance-based models. |
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Keywords: | random ranking model permutation preference random ranking generation c-matrix p-matrix collective ranking |
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