A note on optimal directional neighbour designs with random block effect

Abstract

This article deals with the optimality aspects of directional neighbor balanced block design under the assumption of randomness of block effects, both under additive and neighbor × direct effects non-additive model. Some classes of designs have been shown to be universally optimal for the estimation of direct effects of treatments as well as neighbor effects for the above situations.

Keywords:

• Direct Effect
• Neighbour effect
• Mixed effect
• Non-additive
• Circular
• Balanced
• Universal optimality

Mathematics Subject Classification:

• 62Kxx
• 62K05
• 62K10

Acknowledgments

We are very much thankful to all the Reviewers, Editorial Board and Editor for providing opportunity and guiding us to improve our manuscript. Facilities provided by Director, ICAR-Indian Agricultural Statistics Research Institute is duly acknowledged.

Additional information

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.