Optimal extended complete block designs for dependent observations

S. Pooladsaz and R. J. Martin ()

Metrika: International Journal for Theoretical and Applied Statistics, 2005, vol. 61, issue 2, 185-197

Abstract: Optimal designs under general dependence structures are usually difficult to specify theoretically or find algorithmically. However, they can sometimes be found for a specific dependence structure and a particular parameter value. In this paper, a class of generalized binary block designs with t treatments and b blocks of size k>t is considered. Each block consists of h consecutive complete blocks and, at the end, an incomplete block of size k−h t (if k > h t). For a suitable number of blocks, a universally optimal design is found for a first-order stationary autoregressive process with positive correlations. Optimal generalized binary designs and balanced block designs are also considered. Some constructions for a universally optimal design are described. A negative dependence parameter, and some other dependence structures, are also considered. Copyright Springer-Verlag 2005

Keywords: Balanced incomplete block designs; first-order autoregressive process; generalized binary designs; generalized least-squares; semi-balanced array; universal optimality (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:61:y:2005:i:2:p:185-197

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DOI: 10.1007/s001840400331

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