Abstract
In this paper, we consider the problem of estimating a selected set of contrasts between v treatments using a block design consisting of b blocks of size k. Traditionally, the construction of A-optimal block designs for such situations has been carried out assuming a fixed effects model. In this paper, we show that A-optimal designs constructed under a fixed effects model are robust in the sense that these designs have maximal minimal efficiency when considered among all available designs and under all possible mixed effects models.
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AMS 1991 subject classifications: Primary 62K05; Secondary 62K10
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Jacroux, M. A note on the determination of A-optimal type block designs under fixed and mixed effects models. Metrika 58, 107–115 (2003). https://doi.org/10.1007/s001840200231
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DOI: https://doi.org/10.1007/s001840200231