Symmetric Orientations for Simplex Designs

Article

Crosier, Ronald B.   (1996, ASQC)   U.S. Army Edgewood Research, Development & Engineering Center, Aberdeen Proving Ground, MD

Journal of Quality Technology    Vol. 28    No. 2
QICID: 11445    April 1996    pp. 148-152

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Article Abstract

Designs for fitting first-order response surfaces over spherical regions are often constructed from the vertices of regular geometric figures. The well-known method of generating a simplex design for any number of factors gives the factors unequal, asymmetric ranges. The unequal, asymmetric ranges of the coded design factors create a problem in applying the designs: the geometric and statistical properties of the design must be distorted to give the experimental factors the desired ranges. Symmetric orientations are given for the simplex designs for 4-6, 8-10, 12, and 13 factors. In the new orientations, the simplex designs have up to six levels of the factors.

Keywords

Plackett and Burman designs,Simplex,Response surface methodology (RSM),Design of experiments (DOE)


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