Optimal block designs with non additive mixed effects interference

ABSTRACT

This paper deals with optimality aspects of block designs balanced for interference effects from neighboring units on both sides under a general non additive model along with random block effects. Here, a class of complete, circular block designs strongly balanced for interference effects has been shown to be universally optimal for the estimation of direct effects and interference effects (left and right) of treatments under a non additive mixed effects model.

KEYWORDS:

• Direct effects
• Interference
• Mixed model
• Neighboring units
• Non additive
• Optimality.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62Kxx
• 62K05
• 62K10

Acknowledgments

Authors are also grateful to editor-in-chief, associate editor, and all the reviewers for their useful comments and suggestions for improving the quality of the manuscript. The facilities provided by Director, ICAR-Indian Agricultural Statistics Research Institute is duly acknowledged.

Funding

This work was supported by the Department of Science and Technology, Government of India under grant vide Sanction No. SR/S4/MS:650/09. The financial support provided to carry out this research work is duly acknowledged.