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Part of the book series: Lecture Notes in Statistics ((LNS,volume 80))

Abstract

Two models for paired rankings are presented. They describe two different ways in which a post-ranking is related to its pre-ranking for each case (or subject). These models are compared to regression models in order to help motivate their forms. Analysis of paired ranking data is considered in the light of testing for that type of departure from a null model that corresponds to either of the proposed models. The procedure suggested uses a bootstrap method to ascertain the strength of the departure from the null model, and helps one to decide which departure is more strongly indicated. Some analyses of simulated test data sets are described, as well as the analysis of data due to Rogers [7] which is also analysed in Critchlow and Verducci [3].

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References

  1. Critchlow, D.E. Metric Methods for Analyzing Partially Ranked Data, Lecture Notes in Statistics, 34, 1985. Springer-Verlag, Berlin.

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  2. Critchlow, D.E., Fligner, M.A. and Verducci, J.S. Probability models on rankings, J. Math. Psych., 35:294–318, 1991.

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  4. Diaconis, P. Group Representations in Probability and Statistics, Lecture Notes — Monograph Series, Vol. 11, 1988. Institute of Mathematical Statistics, Hayward, CA.

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  5. Feigin, P.D. Analysis of paired rankings, Preprint, 1987.

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  6. Feigin, P.D. and Alvo, M. Intergroup diversity and concordance for ranking data: an approach via metrics for permutations, Ann. Statist., 14:691–707, 1986.

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  7. Rogers, T. Students as literary critics: A case study of the interpretive theories, processes and communities of ninth grade students. To appear in J. Reading Behavior.

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  8. Thompson, G.L. Graphical techniques for ranked data, This volume — discussion paper, 1992.

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© 1993 Springer-Verlag New York, Inc.

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Feigin, P.D. (1993). Modelling and Analysing Paired Ranking Data. 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_5

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  • DOI: https://doi.org/10.1007/978-1-4612-2738-0_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97920-5

  • Online ISBN: 978-1-4612-2738-0

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