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prefmod: An R Package for Modeling Preferences Based on Paired Comparisons, Rankings, or Ratings

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  • Hatzinger, Reinhold
  • Dittrich, Regina

Abstract

The first part of this paper describes a series of loglinear preference models based on paired comparisons, a method of measurement whose aim is to order a set of objects according to an attribute of interest by asking subjects to compare pairs of objects. Based on the basic Bradley-Terry specification, two types of models, the loglinear Bradley-Terry model and a pattern approach are presented. Both methods are extended to include subject and object-specific covariates and some further structural effects. In addition, models for derived paired comparisons (based on rankings and ratings) are also included. Latent classes and missing values can be included. The second part of the paper describes the package prefmod that implements the above models in R. Illustrational applications are provided in the last part of the paper.

Suggested Citation

  • 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).
    • Handle: RePEc:jss:jstsof:v:048:i10
    DOI: http://hdl.handle.net/10.18637/jss.v048.i10
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    References listed on IDEAS

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    1. 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.
    2. Dittrich, Regina & Francis, Brian & Hatzinger, Reinhold & Katzenbeisser, Walter, 2006. "Modelling dependency in multivariate paired comparisons: A log-linear approach," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 197-209, September.
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    3. Yu-Shan Shih & Kuang-Hsun Liu, 2019. "Regression trees for detecting preference patterns from rank data," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 13(3), pages 683-702, September.
    4. Irurozki, Ekhine & Calvo, Borja & Lozano, Jose A., 2016. "PerMallows: An R Package for Mallows and Generalized Mallows Models," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 71(i12).
    5. Weichen Wu & Nynke Niezink & Brian Junker, 2022. "A diagnostic framework for the Bradley–Terry model," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(S2), pages 461-484, December.
    6. repec:cup:judgdm:v:17:y:2022:i:6:p:1229-1254 is not listed on IDEAS
    7. repec:jdm:journl:v:17:y:2022:i:6:p:1229-1254 is not listed on IDEAS
    8. Cristina Mollica & Luca Tardella, 2017. "Bayesian Plackett–Luce Mixture Models for Partially Ranked Data," Psychometrika, Springer;The Psychometric Society, vol. 82(2), pages 442-458, June.
    9. Tessa Haesevoets & Alain Van Hiel & Mario Pandelaere & Dries H. Bostyn & David De Cremer, 2017. "How much compensation is too much? An investigation of the effectiveness of financial overcompensation as a means to enhance customer loyalty," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 12(2), pages 183-197, March.
    10. Heather L. Turner & Jacob Etten & David Firth & Ioannis Kosmidis, 2020. "Modelling rankings in R: the PlackettLuce package," Computational Statistics, Springer, vol. 35(3), pages 1027-1057, September.
    11. Wickelmaier, Florian & Strobl, Carolin & Zeileis, Achim, 2012. "Psychoco: Psychometric Computing in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i01).
    12. Alessandro Barbiero, 2021. "Inducing a desired value of correlation between two point-scale variables: a two-step procedure using copulas," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 105(2), pages 307-334, June.
    13. Turner, Heather & Firth, David, 2012. "Bradley-Terry Models in R: The BradleyTerry2 Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i09).
    14. Gerhard Tutz & Gunther Schauberger, 2015. "Extended ordered paired comparison models with application to football data from German Bundesliga," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(2), pages 209-227, April.
    15. Sprengholz, Philipp & Felgendreff, Lisa & Buyx, Alena & Betsch, Cornelia, 2023. "Toward future triage regulations: Investigating preferred allocation principles of the German public," Health Policy, Elsevier, vol. 134(C).

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