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Efficient Designs for Paired Comparisons with a Polynomial Factor

  • H. Großmann
  • H. Holling
  • U. Graßhoff
  • R. Schwabe
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 51)

Abstract

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.

Keywords

paired comparisons optimal design equivalence theorem symmetrization polynomial regression additive model marginal design 

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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • H. Großmann
    • 1
  • H. Holling
    • 1
  • U. Graßhoff
    • 2
  • R. Schwabe
    • 3
  1. 1.Psychologisches Institut IVWestfälische Wilhelms-UniversitätMünsterGermany
  2. 2.Institut für Mathematik IFreie Universität BerlinBerlinGermany
  3. 3.Institut für Medizinische BiometrieEberhard-Karls-UniversitätTübingenGermany

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