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Multiple Confounded and Orthogonal Replicated Full Factorial BIB Designs Mathematics and Computer Sciences Journal (MCSJ), Volume 2, Mar 2017 View Abstract Hide Abstract Abstract
The sn factorial design, where s is a prime number like 2, 3, 5, etc., generally confounds a set of diferent orthogonal factorial efects with sr blocks (n > r > 1) under one replicate. Thus there will be a complete set of orthogonal replicates of different group of orthogonal factorial efects for constructing a partially confounded sn factorial design in sr blocks. The factorial design, in general, when it partially confounds different orthogonal sets of diferent groups of orthogonal factorial efects under the complete set of different orthogonal replicates constitutes a BIB design having their individual properties, same result and detailed information of all factorial efects. The procedure is illustrated with some examples and one practical application. Author(s): M. Shamsuddin, M. Albassam |
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