REDUCED RESIDUE CLASSES CYCLIC PBIB DESIGNS |
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Authors: | H C Agrawal C R Nair |
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Institution: | Department of Mathematics, Punjabi University, Patiala India |
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Abstract: | A new general class of m-class cyclic association scheme is defined for v treatments, where v is a composite number. A simple method of construction of PBIB designs having this association scheme using more than one initial block and some methods using only one initial block are proposed. A complete analysis of this type of PBIB designs is given. Also given is a list of 39 useful PBIB designs of this type having v≤15 and r≤10 and having only three associate classes together with their efficiency factors for all types of comparisons and over all efficiency factors. |
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Keywords: | PBIB design Association scheme Euler's function Composite number Initial block Greatest common divisor Circulant CIB design |
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