Abstract
In this paper we consider the problem of determining and constructing E- and MV-optimal block designs to use in experimental settings where ν treatments are applied to experimental units occurring in b blocks of size k, k≥ν. It is shown that some of the well-known methods for constructing E- and MV-optimal unequally replicated designs having ν≥k fail to yield optimal designs in the case where ν<k. Some sufficient conditions are derived for the E- and MV-optimality of block designs having ν<k and methods for constructing designs satisfying these sufficient conditions are given.
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Jacroux, M., Whittinghill, D.C. On the E- and MV-optimality of block designs having k≥v . Ann Inst Stat Math 40, 407–418 (1988). https://doi.org/10.1007/BF00052354
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DOI: https://doi.org/10.1007/BF00052354