Fitting paired comparison models in R

Hatzinger, Reinhold and Francis, Brian (2004) Fitting paired comparison models in R. Research Report Series / Department of Statistics and Mathematics, 3. Institut für Statistik und Mathematik, WU Vienna University of Economics and Business, Vienna.


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Paired comparison models in loglinear form are generalised linear models and can be fitted using the IWLS algorithm. Unfortunately, the design matrices can become very large and thus a method is needed to reduce computational load (relating to both space and time). This paper discusses an algorithm for fitting loglinear paired comparison models in the presence of many nuisance parameters which is based on partition rules for symmetric matrices and takes advantage of the special structure of the design matrix in Poisson loglinear models. The algorithm is implemented as an R function. Some simple examples illustrate its use for fitting both paired comparison models and (multinomial) logit models. (author's abstract)

Item Type: Paper
Keywords: paired comparisons / Bradley Terry models / multinomial logit models / nuisance parameters / R
Divisions: Departments > Finance, Accounting and Statistics > Statistics and Mathematics
Depositing User: Repository Administrator
Date Deposited: 18 May 2004 11:36
Last Modified: 22 Oct 2019 00:41


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