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Fourth order rotatability
Authors:Norman R Draper  Agnes M Herzberg
Institution:1. Statistics Department , University of Wisconsin , 1210 West Dayton Street, Madison, WI, 53706;2. Mathematics Department , Imperial College of Science and Technology University of London , London, SW7 2BZ
Abstract:Fourth order rotatable designs are discussed. A general k, design moment inequality is given. The variance function for two-factor designs is derived, and plotted for a specific design. A minimum point set requirement for two-factor designs is established, thus enabling one to form an infinity of such designs. Some difficulties in obtaining deLigns for k>2 are described. Some questions are posed for future work.
Keywords:first order designs  reponse surface designs  second order designs  third order designs
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