A Class of Three-Level Experimental Designs for Response Surface Modeling.

Most empirically constructed response surface models are based on polynomials containing terms of order 2 or less. Experimental designs involving three equally spaced levels of each factor are popular choices for collecting data to fit such models. Because complete three-level factorial plans require more experimental runs than can usually be accommodated in practice, smaller designs are typically used. The families of three-level designs most often used in this context are the Box-Behnken plans and various forms of the central composite designs. This article introduces a different method for constructing composite designs, motivated by notions of sequential experimentation and ...

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