Optimal and efficient treatment control design in the heteroscedastic one-way layout with covariates
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.
SahaRay, Rita and Dutta, Ganesh, "Optimal and efficient treatment control design in the heteroscedastic one-way layout with covariates" (2019). Journal Articles. 921.