Optimal Designs for Second-Order Interactions in Paired Comparison Experiments with Binary Attributes

  • Eric NyarkoEmail author
  • Rainer Schwabe
Original Article


In applications often paired comparisons involving competing options of either full or partial profiles are used. For this situation, we introduce an appropriate model and derive optimal designs in the presence of second-order interactions when all attributes are dichotomous.


Attributes Full profile Interactions Optimal design Paired comparisons Partial profile Profile strength 

Mathematics Subject Classification

Primary: 62K05 Secondary: 62J15 62K15 



The authors wish to express their thanks to the referees and the Editor in Chief for helpful comments. This work was partially supported by Grant—Doctoral Programmes in Germany, 2016/2017 (57214224)—of the German Academic Exchange Service (DAAD).

Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Grace Scientific Publishing 2019

Authors and Affiliations

  1. 1.Institute for Mathematical StochasticsUniversity of MagdeburgMagdeburgGermany

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