Response surface analysis incorporating neighbour effects from adjacent units

Abstract

The response surface analysis from a design with factorial treatment structure in which the experimental units exhibit the overlap effects from the neighbouring units has been dealt with. The analysis has been illustrated by fitting first order and second order response surfaces incorporating neighbour effects from adjacent units. The results show that if the neighbour effects are present and are included in the response model, there is a substantial reduction in residual sum of squares and the response is predicted more precisely. Besides, the parameters of the model are estimated with high precision.