Optimal and efficient treatment control design in the heteroscedastic one-way layout with covariates. Issue 2 (4th March 2019)

• Record Type: Journal Article
• Authors: SahaRay, Rita; Dutta, Ganesh
• Is Part Of: Statistics. Volume 53:Issue 2(2019)
• Page Start: 459
• Page End: 469
• Publication Date: 2019-03-04
• Subjects: One-way layout model -- covariates -- Hadamard matrix -- Kronecker product; 62K05; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2019.1573821
• Languages: English
• ISSNs: 0233-1888

Abstract

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.