Abstract
Ranking by row-sum scores in the case of balanced paired-comparison experiments was generalized to unbalanced experiments in David [7]. Statistical properties of the proposed scores and associated tests of significance are developed in Andrews and David [2], where extensions to unbalanced ranked data are also treated. A brief account of this work is given and a possible generalization is introduced and examined. The simple methods here advanced make no assumptions on the pairwise preference probabilities. A secondary aim of this paper is to provide a critical review of competing methods also involving no such assumptions as well as of related methods requiring only mild assumptions. Many of the procedures discussed are illustrated on a worked example.
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David, H.A., Andrews, D.M. (1993). Nonparametric Methods of Ranking from Paired Comparisons. 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_2
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DOI: https://doi.org/10.1007/978-1-4612-2738-0_2
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