An alternative approach to minimize model inadequacy

Abstract

In this article Bock's (1975) approach is used to fit a class of lower order polynomials to a higher order response function. For a wide class of conditions our fitted models offer greater protection, in some sense, against model inadequacies than the one fitted by Karson, Manson and Hader (1969). However, our approach is applicable to the situations where the assumption of normality about the distribution of the response variable is appropriate.

Keywords:

• Response surface
• design matrix
• risk
• monotone nondecreasing function
• least squares