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].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Critchlow, D.E. Metric Methods for Analyzing Partially Ranked Data, Lecture Notes in Statistics, 34, 1985. Springer-Verlag, Berlin.
Critchlow, D.E., Fligner, M.A. and Verducci, J.S. Probability models on rankings, J. Math. Psych., 35:294–318, 1991.
Critchlow, D.E. and Verducci, J.S. Detecting a trend in paired rankings. To appear in J. Roy. Statist. Soc., Ser. C, 41, 1992.
Diaconis, P. Group Representations in Probability and Statistics, Lecture Notes — Monograph Series, Vol. 11, 1988. Institute of Mathematical Statistics, Hayward, CA.
Feigin, P.D. Analysis of paired rankings, Preprint, 1987.
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.
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.
Thompson, G.L. Graphical techniques for ranked data, This volume — discussion paper, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag New York, Inc.
About this paper
Cite this paper
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
Download citation
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
eBook Packages: Springer Book Archive