Chapter 19

Response Surfaces

The focus of this chapter is the development of first-order and second-order (central composite) designs employed for fitting response surfaces. The topics covered are:

• First-order designs
• Second-order designs
• Central composite designs (CCD)
• Some other first-order and second-order designs
• Determination of the optimum or near optimum point
• The method of steepest ascent
• Analysis of a fitted second-order response surface

Learning Outcomes:

After studying this chapter, the reader will be able to

• Select appropriate designs to fit-first-order and second-order models.
• Use the least-squares method to fit a desired model.
• Use analysis of variance techniques to verify the adequacy of the fitted models.
• Analyze the fitted response surface to determine the nature of the response surface.