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Yayın Fractional s n?k factorial BIB designs(Maltepe Üniversitesi, 2009) Shamsuddin, M.; Albassam, M.The partially confounded different s n?k fractional factorial designs under complete orthogonal replicates of different groups of factorial effects constitute different BIB designs with detailed but same factorial and BIB result. The method with some examples of different levels and one application are given..Yayın Multi-stage multi-phase BIB designs(Maltepe Üniversitesi, 2009) Shamsuddin, M.The multi-stage multi-phase BIB designs are the chain of BIB factorial designs produced at each of its different stages of fractional factorials. It is very interesting and important that it meets the scarcity of development of different types of BIB designs providing individual factorial treatment ss’s equivalent to BIB’s adjusted treatment ss for each. A chain example is given to illustrate procedure in details.Yayın Multiple confounded and orthogonal replicated full factorial BIB designs(Maltepe Üniversitesi, 2009) Shamsuddin, M.; Albassam, M.The s n factorial design, where s is a prime number like 2, 3, 5, etc., generally confounds a set of different orthogonal factorial effects 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 effects for constructing a partially confounded s n factorial design in s r blocks. The factorial design, in general, when it partially confounds different orthogonal sets of different groups of orthogonal factorial effects under the complete set of different orthogonal replicates constitutes a BIB design having their individual properties, same result and detailed information of all factorial effects. The procedure is illustrated with some examples and one practical application.
