Efficient designs for paired comparisons with a polynomial factor. (English) Zbl 1423.62078
Atkinson, Anthony (ed.) et al., Optimum design 2000. Papers at the conference optimum design 2000: prospects for the new millenium, Cardiff, GB, April 12–14, 2000. Dedicated to Valeri Fedorov on the occasion of his 60th birthday. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 51, 45-56 (2001).
Summary: In psychological research paired comparisons, which demand judges to evaluate the trade-off between two alternatives, have been shown to yield valid estimates of the judges’ preferences. For this situation we present optimal and efficient designs in a response surface setting where the alternatives are modelled by a polynomial.
For the entire collection see [Zbl 0961.00023].
For the entire collection see [Zbl 0961.00023].
MSC:
| 62K05 | Optimal statistical designs |
| 62J15 | Paired and multiple comparisons; multiple testing |
| 62K20 | Response surface designs |
Keywords:
paired comparisons; optimal design; equivalence theorem; symmetrization; polynomial regression; additive model; marginal designReferences:
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