Construction of neighbor designs of block size 4 for all values of v ≥ 5 by using the method of addition |
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Authors: | I Iqbal P F Buzdar I Ahmed |
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Institution: | Department of Statistics, B.Z. University, Multan, Pakistan |
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Abstract: | In this article, a general method of construction of neighbor block designs is given. The designs are constructed using variation of a simple method which we refer to as the method of addition (renamed as the method of cyclic shifts). We give complete solution of neighbor balanced designs for k = 4 for any value of v. We also give many series of generalized neighbor designs (GNDs). In the last section, we have constructed GNDs in a sequential manner (as Did John 1981) for v ≤ 50 and r is multiple of k. |
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Keywords: | Generalized neighbor balanced block design Method of addition Neighbor balanced block designs Regular graph design Sequential design |
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