Some optimal designs for comparing a set of test treatments with a set of controls.

*(English)*Zbl 0703.62074Summary: We give a detailed study of the problem of optimally comparing a set of t test treatments to a set of s controls under a 0-way elimination of heterogeneity model. The relationships between designs that are A and MV- optimal for comparing the test treatments to the controls and those that are A and MV-optimal for comparing all treatments are also studied.

##### MSC:

62K05 | Optimal statistical designs |

##### Keywords:

A(c)-optimal designs; MV(c)-optimal designs; A-optimal designs; test treatments; controls; 0-way elimination of heterogeneity model; MV- optimal
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\textit{M. Jacroux}, Ann. Inst. Stat. Math. 42, No. 1, 173--185 (1990; Zbl 0703.62074)

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##### References:

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[12] | Notz, W. (1985). Optimal designs for treatment-control comparisons in the presence of two-way heterogeneity, J. Statist. Plann. Inference, 12, 61-73. · Zbl 0572.62061 |

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