The analysis of rank order preference data based on Bradley-Terry type models
Type Research Project
Duration since Jan. 1, 1997
- Mathematical Methods in Statistics AE (Former organization)
Tags
Press 'enter' for creating the tag- Dittrich, Regina (Former researcher) Project Head
- Hatzinger, Reinhold (Former researcher)
- Katzenbeisser, Walter (Former researcher)
Abstract (German)
statistische Analyse, Log-lineare Modelle von entsprechend definierten Kontingenztafeln
Abstract (English)
The intention of this work is to demonstrate how to analyse complete rank ordered data by means of Bradley-Terry type models. The main idea is to transform the rankings into paired comparison data, which can be modelled within a log-linear framework. This approach allows to estimate object-specific parameters, which in the marketing context can be interpreted as attractions of the analysed objects. Additionally, the effects of subject-specific covariates on the attractions can be estimated by the presented models. The estimated subject parameters offer a statistically motivated approach for customer segmentation. The outlined methodology will be applied to preference judgements within the Austrian daily newspaper market. It is shown that certain socio-economic characteristics of the customers have significant influences on their preference structure.
Publications
Journal article
| 2015 | Grand, Alexandra, Dittrich, Regina, Francis, Brian. 2015. Markov models of dependence in longitudinal paired comparisons: anapplication to course design. Advances in Statistical Analysis 99 (2): S. 237-257. | (Details) | |
Grand, Alexandra, Dittrich, Regina. 2015. Modelling assumed metric paired comparison data: Application to learning related emotions. Austrian Journal of Statistics 44 (1): S. 3-15.
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Classification
- 1113 Mathematical statistics (Details)
Expertise
- Bradley-Terry model