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Paired comparison, triple comparison, and ranking experiments as generalized linear models, and their implementation on GLIM

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  • Douglas Critchlow
  • Michael Fligner

Abstract

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Suggested Citation

  • Douglas Critchlow & Michael Fligner, 1991. "Paired comparison, triple comparison, and ranking experiments as generalized linear models, and their implementation on GLIM," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 517-533, September.
  • Handle: RePEc:spr:psycho:v:56:y:1991:i:3:p:517-533
    DOI: 10.1007/BF02294488
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    References listed on IDEAS

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    1. William Harris, 1957. "A revised law of comparative judgment," Psychometrika, Springer;The Psychometric Society, vol. 22(2), pages 189-198, June.
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    Cited by:

    1. Firth, David, 2005. "Bradley-Terry Models in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 12(i01).
    2. repec:jss:jstsof:12:i01 is not listed on IDEAS
    3. Amadou Sawadogo & Simplice Dossou-Gbété & Dominique Lafon, 2017. "Ties in one block comparison experiments: a generalization of the Mallows–Bradley–Terry ranking model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(14), pages 2621-2644, October.
    4. Hatzinger, Reinhold & Dittrich, Regina, 2012. "prefmod: An R Package for Modeling Preferences Based on Paired Comparisons, Rankings, or Ratings," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i10).
    5. Araki, Kenji & Hirose, Yoshihiro & Komaki, Fumiyasu, 2019. "Paired comparison models with age effects modeled as piecewise quadratic splines," International Journal of Forecasting, Elsevier, vol. 35(2), pages 733-740.
    6. Mark Glickman, 2001. "Dynamic paired comparison models with stochastic variances," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(6), pages 673-689.
    7. Eugster, Manuel J.A. & Leisch, Friedrich & Strobl, Carolin, 2014. "(Psycho-)analysis of benchmark experiments: A formal framework for investigating the relationship between data sets and learning algorithms," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 986-1000.
    8. Amadou Sawadogo & Dominique Lafon & Simplice Dossou-Gbété, 2021. "On the Classification of Colored Textures From a Texture-Ranking Experiment: Observers Ability of Discrimination Quantification," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(1), pages 1-1, January.
    9. Carolin Strobl & Florian Wickelmaier & Achim Zeileis, 2011. "Accounting for Individual Differences in Bradley-Terry Models by Means of Recursive Partitioning," Journal of Educational and Behavioral Statistics, , vol. 36(2), pages 135-153, April.

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