Optimal nested row-column designs for blocks of size 2×2 under dependence |
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| Authors: | N Chauhan R J Martin |
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| Institution: | (1) School of Biological Sciences, University of Manchester, Manchester, M13 9PT, UK. (email: n.chauhan@man.ac.uk), GB;(2) Department of Probability and Statistics, University of Sheffield, Sheffield, S3 7RH, UK., GB |
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| Abstract: | This paper examines nested 2 ×2 row-column designs when within-block observations are assumed to be dependent. The model
considered has fixed block effects, which may also include row and/or column effects. Optimal binary and non-binary designs,
constructed from semi-balanced arrays, are given under both generalised and ordinary least squares estimation. It is shown
that binary designs are optimal when dependence is low. In general, however, the optimal designs are highly specific to the
correlation values.
Received: October 1999 |
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| Keywords: | : nested row-column designs dependent observations universal optimality weak universal optimality semi-balanced arrays |
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