On efficient exact experimental designs for ordered treatments

Singh, Satya Prakash and Davidov, Ori (2021) On efficient exact experimental designs for ordered treatments. Computational Statistics & Data Analysis, 164 (107305). ISSN 01679473

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In a recent paper Singh and Davidov (2019) derive approximate optimal designs for experiments with ordered treatments. Specifically, maxi–min and intersection–union designs were explored. These designs, which address different types of hypothesis testing problems, provide a substantial improvement over standard designs in terms of power, or equivalently, sample size requirements. In practice however, exact, not approximate designs are used. Therefore, in this paper, we develop methods for finding efficient exact designs for the testing problems considered in Singh and Davidov (2019). The proposed designs are compared numerically to some well known existing designs and it is shown that the new designs require fewer experimental units to attain prespecified power. A thorough sensitivity analysis shows that the proposed designs are robust against possible misspecification of the parameters under the alternative and the order relation among the treatment groups.

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IITH Creators:
IITH CreatorsORCiD
Singh, Satya PrakashUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Efficient exact designs; Intersection Union Tests; Likelihood ratio test; Order restricted inference; Rounding methods; Sensitivity analysis
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: . LibTrainee 2021
Date Deposited: 05 Jul 2021 04:07
Last Modified: 05 Jul 2021 04:07
URI: http://raiith.iith.ac.in/id/eprint/8075
Publisher URL: http://doi.org/10.1016/j.csda.2021.107305
OA policy: https://v2.sherpa.ac.uk/id/publication/27883
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