On the modelling and estimation of attribute rankings with ties in the Thurstonian framework |
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| Authors: | Wai‐Yin Poon Liang Xu |
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| Affiliation: | 1. Department of Statistics, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong;2. Department of Mathematics, Southeast University, Nanjing, China |
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| Abstract: | A Thurstonian type approach is applied to modelling ranking data with ties. It uses a non‐totally differentiable discriminational process instead of the conventional totally differential one to relate the observed rankings and the underlying subjective values. A Monte Carlo expectation–maximization algorithm is proposed to find the maximum likelihood estimates together with the standard errors of the parameters. The approach is examined numerically by means of an artificial example and a simulation study and is applied to a study of attribute assessment. |
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