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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Liqun, X. A multistage ranking model. Psychometrika 65, 217–231 (2000). https://doi.org/10.1007/BF02294375
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DOI: https://doi.org/10.1007/BF02294375