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A common modeling assumption for such experiments is that responses from units within a block are dependent. Accounting for such dependencies in both the design of the experiment and the modeling of the resulting data when the response is not normally distributed can be challenging, particularly in terms of the computation required to find an optimal design. The application of copulas and marginal modeling provides a computationally efficient approach for estimating population\u2010average treatment effects. Motivated by an experiment from materials testing, we develop and demonstrate designs with blocks of size two using copula models. Such designs are also important in applications ranging from microarray experiments to experiments on human eyes or limbs with naturally occurring blocks of size two. We present a methodology for design selection, make comparisons to existing approaches in the literature, and assess the robustness of the designs to modeling assumptions.<\/jats:p>","DOI":"10.1002\/asmb.2469","type":"journal-article","created":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T03:09:15Z","timestamp":1559272155000},"page":"210-219","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Copula\u2010based robust optimal block designs"],"prefix":"10.1002","volume":"36","author":[{"given":"A.","family":"Rappold","sequence":"first","affiliation":[{"name":"Institute of Applied Statistics Johannes Kepler University Linz Linz Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3564-766X","authenticated-orcid":false,"given":"W.G.","family":"M\u00fcller","sequence":"additional","affiliation":[{"name":"Institute of Applied Statistics Johannes Kepler University 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