Weighted A-efficiency of block designs for making treatment-control and treatment-treatment comparisons.

*(English)*Zbl 0930.62079Summary: 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.

##### Keywords:

treatment-control comparison; treatment-treatment comparisons; weighted A-optimality; weighted A-efficiency; BTIB designs; tables
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\textit{V. K. Gupta} et al., J. Stat. Plann. Inference 77, No. 2, 301--319 (1999; Zbl 0930.62079)

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