Three-Level Simplex Designs and Their Use in Second-Order Composite Designs
نویسنده
چکیده
This article first presents three-level simplex designs of n = k+1 runs for k factors. Each simplex design is composed of k treatment combinations from a two-level factorial design, plus an additional base run that represents a third level for each factor. These orthogonal, first-order designs are simple to construct. It is also noted that the k treatment combinations in each simplex design • form a subset of the saturated resolution V designs proposed by Rechtschaffner (1967) • coincide with the axial points in the second-order, asymmetric composite designs proposed by Box and Wilson (1951) and later discussed by Lucas (1974). Including the base point permits inclusion of a block effect in the fitted second-order model. Completed October 29, 1999 Dr. Mee is Professor in the Department of Statistics. He has been department head since 1997. He is a member of ASQ.
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Three-Level Simplex Designs and Their Use in Sequential Experimentation
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