The robustness of resolvable block designs against the loss of whole blocks or replicates

摘要

This paper considers the robustness of resolvable incomplete block designs in the event of two patterns of missing observations; loss of whole blocks and loss of whole replicates. The approach used to assess designs is based on the concept of block intersection which exploits the resolvability property of the design. This improves on methods using minimal treatment concurrence which have been used previously. It is shown that several classes of designs, including affine resolvable designs, square and rectangular lattice designs and two-category concurrence alpha-designs and alpha(n)-designs, are maximally robust; some of these classes of designs are also shown to be most replicate robust. (C) 2015 Elsevier B.V. All rights reserved.