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Weighted A-efficiency of block designs for making treatment-control and treatment-treatment comparisons. (English) Zbl 0930.62079
Summary: The problem of comparing \(v\) test treatments and a control in \(b\) blocks of size \(k\) is considered. Two different sets of contrasts, test treatment-control and test treatment-test treatment contrasts, are considered. Conditions under which a design is weighted A-optimal for estimating these two sets of contrasts with unequal precision are derived. A general method of construction of BTIB designs is given and their weighted A-efficiencies are worked out. A catalogue of weighted A-efficient BTIB designs is also given.

MSC:
62K05 Optimal statistical designs
62K10 Statistical block designs
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