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Probability Models and Statistical Analyses for Ranking Data

  • Conference proceedings
  • © 1993


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

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About this book

In June of 1990, a conference was held on Probablity Models and Statisti­ cal Analyses for Ranking Data, under the joint auspices of the American Mathematical Society, the Institute for Mathematical Statistics, and the Society of Industrial and Applied Mathematicians. The conference took place at the University of Massachusetts, Amherst, and was attended by 36 participants, including statisticians, mathematicians, psychologists and sociologists from the United States, Canada, Israel, Italy, and The Nether­ lands. There were 18 presentations on a wide variety of topics involving ranking data. This volume is a collection of 14 of these presentations, as well as 5 miscellaneous papers that were contributed by conference participants. We would like to thank Carole Kohanski, summer program coordinator for the American Mathematical Society, for her assistance in arranging the conference; M. Steigerwald for preparing the manuscripts for publication; Martin Gilchrist at Springer-Verlag for editorial advice; and Persi Diaconis for contributing the Foreword. Special thanks go to the anonymous referees for their careful readings and constructive comments. Finally, we thank the National Science Foundation for their sponsorship of the AMS-IMS-SIAM Joint Summer Programs. Contents Preface vii Conference Participants xiii Foreword xvii 1 Ranking Models with Item Covariates 1 D. E. Critchlow and M. A. Fligner 1. 1 Introduction. . . . . . . . . . . . . . . 1 1. 2 Basic Ranking Models and Their Parameters 2 1. 3 Ranking Models with Covariates 8 1. 4 Estimation 9 1. 5 Example. 11 1. 6 Discussion. 14 1. 7 Appendix . 15 1. 8 References.

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Table of contents (18 papers)

  1. Ranking Models with Item Covariates

  2. Nonparametric Methods of Ranking from Paired Comparisons

  3. On the Babington Smith Class of Models for Rankings

  4. Latent Structure Models for Ranking Data

  5. Modelling and Analysing Paired Ranking Data

  6. Maximum Likelihood Estimation in Mallows’s Model Using Partially Ranked Data

  7. Extensions of Mallows’ ϕ Model

  8. Rank Correlations and the Analysis of Rank-Based Experimental Designs

  9. Applications of Thurstonian Models to Ranking Data

  10. Probability Models on Rankings and the Electoral Process

  11. Permutations and Regression Models

  12. Aggregation Theorems and the Combination of Probabilistic Rank Orders

  13. A Nonparametric Distance Model for Unidimensional Unfolding

  14. Miscellanea

Editors and Affiliations

  • Department of Statistics, The Ohio State University, Columbus, USA

    Michael A. Fligner, Joseph S. Verducci

Bibliographic Information

  • Book Title: Probability Models and Statistical Analyses for Ranking Data

  • Editors: Michael A. Fligner, Joseph S. Verducci

  • Series Title: Lecture Notes in Statistics

  • DOI:

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1993

  • Softcover ISBN: 978-0-387-97920-5Published: 05 November 1992

  • eBook ISBN: 978-1-4612-2738-0Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: XXIII, 306

  • Topics: Probability Theory and Stochastic Processes

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