BTLLasso: A Common Framework and Software Package for the Inclusion and Selection of Covariates in Bradley-Terry Models
In paired comparison models, the inclusion of covariates is a tool to account for the heterogeneity of preferences and to investigate which characteristics determine the preferences. Although methods for the selection of variables have been proposed no coherent framework that combines all possible t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Foundation for Open Access Statistics
2019-03-01
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| Series: | Journal of Statistical Software |
| Subjects: | |
| Online Access: | https://www.jstatsoft.org/index.php/jss/article/view/3005 |
| _version_ | 1819113660671328256 |
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| author | Gunther Schauberger Gerhard Tutz |
| author_facet | Gunther Schauberger Gerhard Tutz |
| author_sort | Gunther Schauberger |
| collection | DOAJ |
| description | In paired comparison models, the inclusion of covariates is a tool to account for the heterogeneity of preferences and to investigate which characteristics determine the preferences. Although methods for the selection of variables have been proposed no coherent framework that combines all possible types of covariates is available. There are three different types of covariates that can occur in paired comparisons, the covariates can either vary over the subjects, the objects or both the subjects and the objects of the paired comparisons. This paper gives an overview over all possible types of covariates in paired comparisons and introduces a general framework to include covariate effects into BradleyTerry models. For each type of covariate, appropriate penalty terms that allow for sparser models and, therefore, easier interpretation are proposed. The whole framework is implemented in the R package BTLLasso. The main functionality and the visualization tools of the package are introduced and illustrated by real data sets. |
| first_indexed | 2024-12-22T04:32:56Z |
| format | Article |
| id | doaj.art-c21fee63c9e6401780794e39994a0f2f |
| institution | Directory Open Access Journal |
| issn | 1548-7660 |
| language | English |
| last_indexed | 2024-12-22T04:32:56Z |
| publishDate | 2019-03-01 |
| publisher | Foundation for Open Access Statistics |
| record_format | Article |
| series | Journal of Statistical Software |
| spelling | doaj.art-c21fee63c9e6401780794e39994a0f2f2022-12-21T18:38:59ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602019-03-0188112910.18637/jss.v088.i091280BTLLasso: A Common Framework and Software Package for the Inclusion and Selection of Covariates in Bradley-Terry ModelsGunther SchaubergerGerhard TutzIn paired comparison models, the inclusion of covariates is a tool to account for the heterogeneity of preferences and to investigate which characteristics determine the preferences. Although methods for the selection of variables have been proposed no coherent framework that combines all possible types of covariates is available. There are three different types of covariates that can occur in paired comparisons, the covariates can either vary over the subjects, the objects or both the subjects and the objects of the paired comparisons. This paper gives an overview over all possible types of covariates in paired comparisons and introduces a general framework to include covariate effects into BradleyTerry models. For each type of covariate, appropriate penalty terms that allow for sparser models and, therefore, easier interpretation are proposed. The whole framework is implemented in the R package BTLLasso. The main functionality and the visualization tools of the package are introduced and illustrated by real data sets.https://www.jstatsoft.org/index.php/jss/article/view/3005bradley-terrypaired comparisonpenalizationvariable selectionbtllasso |
| spellingShingle | Gunther Schauberger Gerhard Tutz BTLLasso: A Common Framework and Software Package for the Inclusion and Selection of Covariates in Bradley-Terry Models Journal of Statistical Software bradley-terry paired comparison penalization variable selection btllasso |
| title | BTLLasso: A Common Framework and Software Package for the Inclusion and Selection of Covariates in Bradley-Terry Models |
| title_full | BTLLasso: A Common Framework and Software Package for the Inclusion and Selection of Covariates in Bradley-Terry Models |
| title_fullStr | BTLLasso: A Common Framework and Software Package for the Inclusion and Selection of Covariates in Bradley-Terry Models |
| title_full_unstemmed | BTLLasso: A Common Framework and Software Package for the Inclusion and Selection of Covariates in Bradley-Terry Models |
| title_short | BTLLasso: A Common Framework and Software Package for the Inclusion and Selection of Covariates in Bradley-Terry Models |
| title_sort | btllasso a common framework and software package for the inclusion and selection of covariates in bradley terry models |
| topic | bradley-terry paired comparison penalization variable selection btllasso |
| url | https://www.jstatsoft.org/index.php/jss/article/view/3005 |
| work_keys_str_mv | AT guntherschauberger btllassoacommonframeworkandsoftwarepackagefortheinclusionandselectionofcovariatesinbradleyterrymodels AT gerhardtutz btllassoacommonframeworkandsoftwarepackagefortheinclusionandselectionofcovariatesinbradleyterrymodels |