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A Comparison of Prediction Variance Criteria for Response Surface Designs

Among the numerous design evaluation criteria for response surface designs is the IV-criterion that is based on the average prediction variance (APV). In this paper the various APV measures generated by computing packages and their relationships to the IV-criterion are summarized and critiqued. The computer-generated APV criteria require averaging over either a fixed set or a random set of evaluation points. When a fixed set of points is used, the APV measure will be larger than the corresponding IV-criterion value and could lead to the selection of an inferior design based on the IV-criterion. A simple approach that provides exact evaluation of the IV-criterion value for response surface designs on the hypercube is discussed.