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Generating generalized cyclic designs with factorial balance
Authors:Sudhir C Gupta
Institution:Division of Statistics Department of Mathematical Sciences , Northern Illinois Univenity , DeKalb, IL, 60115
Abstract:An algorithm for generating paired comparison factorially balanced generalized cyclic designs is described. The algorithm is based upon the 2 n ? 1 class association scheme defined by Shah (1960) for n-factor experiments. The algorithm is highly successful in achieving its objective. Firstorder designs with block size greater than two can also be obtained using the algorithm.
Keywords:Paried comparison design  binary number association scheme  eigenvalue  generalized cyclic design  PBIB design  first-order design
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