Abstract
Mallows’ ϕ model is a one-parameter exponential family model for vectors of ranks. Fligner and Verducci have extended this model to multistage ranking situations. In this paper we introduce a class of models based on so-called orthogonal contrasts of the objects to be ranked, which we use to analyze three sets of data. The first set, from the GRE, consists of 98 students’ ranking of five words according to their association with the word idea. The second is the American Psychological Association’s 1980 presidential election data. The final set illustrates an approach to rank-based analysis-of-variance.
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Chung, L., Marden, J.I. (1993). Extensions of Mallows’ ϕ Model. In: Fligner, M.A., Verducci, J.S. (eds) Probability Models and Statistical Analyses for Ranking Data. Lecture Notes in Statistics, vol 80. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2738-0_7
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DOI: https://doi.org/10.1007/978-1-4612-2738-0_7
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