Optimal design for the Bradley–Terry paired comparison model
Paired comparisons are a popular tool for questionnaires in psychological marketing research. The quality of the statistical analysis of the responses heavily depends on the design, i.e. the choice of the alternatives in the comparisons. In this paper we show that the structure of locally optimal de...
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| Veröffentlicht in: | Statistical methods & applications 2008-07, Vol.17 (3), p.275-289 |
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| creator | Graßhoff, Ulrike Schwabe, Rainer |
| description | Paired comparisons are a popular tool for questionnaires in psychological marketing research. The quality of the statistical analysis of the responses heavily depends on the design, i.e. the choice of the alternatives in the comparisons. In this paper we show that the structure of locally optimal designs changes substantially with the parameters in the underlying utility. This fact is illustrated by elementary examples, where the optimal designs can be completely characterized. As an alternative maximin efficient designs are proposed which perform well for all parameter settings. |
| doi_str_mv | 10.1007/s10260-007-0058-4 |
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| subjects | Bradley–Terry model Chemistry and Earth Sciences Comparative analysis Computer Science D-optimal design Design optimization Economics Finance Generalized linear models Health Sciences Humanities Insurance Law Logistic model Management Marketing Mathematics and Statistics Maximin efficient design Medicine Optimal design Original Article Paired comparison Physics Preferences Probability Psychology Statistical Theory and Methods Statistics Statistics for Business Statistics for Engineering Statistics for Life Sciences Statistics for Social Sciences Studies |
| title | Optimal design for the Bradley–Terry paired comparison model |
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