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Exploratory Analysis of Ranking Data

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Statistical Methods for Ranking Data

Part of the book series: Frontiers in Probability and the Statistical Sciences ((FROPROSTAS))

Abstract

Descriptive statistics present an overall picture of ranking data. Not only do they provide a summary of the ranking data, but they are also often suggestive of the appropriate direction to analyze the data. Therefore, it is suggested that researchers consider descriptive analysis prior to any sophisticated data analysis.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, Canada

    Mayer Alvo

  2. Department of Statistics and Actuarial Science, The University of Hong Kong, Hong Kong, China

    Philip L. H. Yu

Authors
  1. Mayer Alvo
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  2. Philip L. H. Yu
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Chapter Notes

Chapter Notes

Alvo and Ertas (1992) extended MDPREF to visualize rankings obtained from more than one population. Yu and Chan (2001) and Leung (2003) developed a probabilistic extension of MDPREF and MDU, respectively, so that statistical inference on model parameters can be made. Other graphical representation techniques include Ye and McCullagh (1993), Han and Huh (1995), Baba (1986), and Hirst and Naes (1994). For examining agreement or diversity among three or more populations of judges, see Chap. 4 and Marden (1995) for some distance-based methods and MANOVA-like methods.

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Alvo, M., Yu, P.L.H. (2014). Exploratory Analysis of Ranking Data. In: Statistical Methods for Ranking Data. Frontiers in Probability and the Statistical Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1471-5_2

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