Bradley-Terry Models in R: The BradleyTerry2 Package. This is a short overview of the R add-on package BradleyTerry2, which facilitates the specification and fitting of Bradley-Terry logit, probit or cauchit models to pair-comparison data. Included are the standard ‘unstructured’ Bradley-Terry model, structured versions in which the parameters are related through a linear predictor to explanatory variables, and the possibility of an order or ‘home advantage’ effect or other ‘contest-specific’ effects. Model fitting is either by maximum likelihood, by penalized quasi-likelihood (for models which involve a random effect), or by bias-reduced maximum likelihood in which the first-order asymptotic bias of parameter estimates is eliminated. Also provided are a simple and efficient approach to handling missing covariate data, and suitably-defined residuals for diagnostic checking of the linear predictor.

References in zbMATH (referenced in 22 articles , 1 standard article )

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  1. Collingwood, James A. P.; Wright, Michael; Brooks, Roger J.: Evaluating the effectiveness of different player rating systems in predicting the results of professional snooker matches (2022)
  2. David Issa Mattos, Érika Martins Silva Ramos: Bayesian Paired-Comparison with the bpcs Package (2021) arXiv
  3. Gunther Schauberger; Gerhard Tutz: BTLLasso: A Common Framework and Software Package for the Inclusion and Selection of Covariates in Bradley-Terry Models (2019) not zbMATH
  4. Mair, Patrick: Modern psychometrics with R (2018)
  5. Pruim, Randall: Foundations and applications of statistics. An introduction using R (2018)
  6. Schauberger, Gunther; Groll, Andreas; Tutz, Gerhard: Analysis of the importance of on-field covariates in the German Bundesliga (2018)
  7. Vitelli, Valeria; Sørensen, Øystein; Crispino, Marta; Frigessi, Arnoldo; Arjas, Elja: Probabilistic preference learning with the Mallows rank model (2018)
  8. Gottard, Anna; Calzolari, Giorgio: Estimating multiple-membership logit models with mixed effects: indirect inference versus data cloning (2017)
  9. Schauberger, Gunther; Tutz, Gerhard: Subject-specific modelling of paired comparison data: a Lasso-type penalty approach (2017)
  10. Ekhine Irurozki and Borja Calvo and Jose Lozano: PerMallows: An R Package for Mallows and Generalized Mallows Models (2016) not zbMATH
  11. Casalicchio, Giuseppe; Tutz, Gerhard; Schauberger, Gunther: Subject-specific Bradley-Terry-Luce models with implicit variable selection (2015)
  12. Jones, Ian; Inglis, Matthew: The problem of assessing problem solving: can comparative judgement help? (2015) MathEduc
  13. Ogden, Helen E.: A sequential reduction method for inference in generalized linear mixed models (2015)
  14. Tutz, Gerhard; Schauberger, Gunther: Extended ordered paired comparison models with application to football data from German Bundesliga (2015)
  15. Kateri, Maria: Contingency table analysis. Methods and implementation using R (2014)
  16. Cattelan, Manuela; Varin, Cristiano: Hybrid pairwise likelihood analysis of animal behavior experiments (2013)
  17. Cattelan, Manuela: Models for paired comparison data: a review with emphasis on dependent data (2012)
  18. Heather Turner; David Firth: Bradley-Terry Models in R: The BradleyTerry2 Package (2012) not zbMATH
  19. Masarotto, Guido; Varin, Cristiano: The ranking lasso and its application to sport tournaments (2012)
  20. Reinhold Hatzinger, Regina Dittrich: prefmod: An R Package for Modeling Preferences Based on Paired Comparisons, Rankings, or Ratings (2012) not zbMATH

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