Optimal and efficient treatment control design in the heteroscedastic one-way layout with covariates
Article Type
Research Article
Publication Title
Statistics
Abstract
In this article, we take up the experimental situation of a heteroscedastic one-way layout model in the presence of a set of controllable covariates. For the joint estimation of the elementary contrasts of a set of test treatments with a control and the effects of covariates, sufficient conditions for the existence of an A-optimal design are identified. When these sufficient conditions are not met, we propose highly A-efficient designs. The methods of construction of A-optimal and highly A-efficient designs are discussed. For different values of the parameters of the design, A-efficiency of the proposed designs are tabulated for a comparative study.
First Page
459
Last Page
469
DOI
10.1080/02331888.2019.1573821
Publication Date
3-4-2019
Recommended Citation
SahaRay, Rita and Dutta, Ganesh, "Optimal and efficient treatment control design in the heteroscedastic one-way layout with covariates" (2019). Journal Articles. 921.
https://digitalcommons.isical.ac.in/journal-articles/921