Second-Order Response Surface Model with Neighbor Effects

Abstract

This article considers the second-order response surface model in which the experimental units, i.e., plots experience the neighbor effects from immediate left and right neighboring plots assuming the plots to be placed adjacent linearly with no gaps. Conditions have been derived for the estimation of coefficients of second-order response surface model. A method of constructing designs for fitting second-order response surface in the presence of neighbor effects has been developed. The designs so obtained are found to be rotatable.

Keywords:

• Border plots
• Neighbor effects
• Response surface
• Rotatable design
• Second-order model

Mathematics Subject Classification:

• Primary 62K20
• Secondary 62K15

Acknowledgment

The authors are grateful to the referee for many helpful comments that have led to considerable improvement in the article.