Pairwise Balanced Designs From Cyclic PBIB Designs
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May 1, 2020
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D. K. Ghosh
UGC BSR Faculty Fellow, Department of Statistics, Saurashtra University, Rajkot, India
N. R. Desai
Dep. of Statistics, H. & H. Kotak Institute of Science, Rajkot, India
Shreya Ghosh
Department of Information system security, University of Cumberland, Williamberg, KY, USA
Abstract
A pairwise balanced designs was constructed using cyclic partially balanced incomplete block designs with either (λ1 – λ2) = 1 or (λ2 – λ1) = 1. This method of construction of Pairwise balanced designs is further generalized to construct it using cyclic partially balanced incomplete block design when |(λ1 – λ2)| = p. The methods of construction of pairwise balanced designs was supported with examples. A table consisting parameters of Cyclic PBIB designs and its corresponding constructed pairwise balanced design is also included.
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