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On the modelling and estimation of attribute rankings with ties in the Thurstonian framework
1Department of Statistics, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong. wypoon@cuhk.edu.hk
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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