Optimal allocation for comparing \(k\) test treatments to positive and negative control with unequal weighting under A-optimality and MV-optimality.

*(English)*Zbl 1105.62075Summary: Experiments in real life often involve comparisons of test treatments to more than one control. However, the controls may not always be of equal importance. We introduce a weighted MV optimality criterion and present a detailed study using both weighted A and MV optimality criteria for the problem of optimally comparing a set of test treatments to two controls (positive and a negative) that are of unequal importance to the experimenter.

##### MSC:

62K05 | Optimal statistical designs |

62J15 | Paired and multiple comparisons; multiple testing |

62P10 | Applications of statistics to biology and medical sciences; meta analysis |

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\textit{N. Dasgupta} and \textit{R. SahaRay}, Metrika 65, No. 1, 83--92 (2007; Zbl 1105.62075)

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