Open AccessPairwise Balanced Designs From Cyclic PBIB Designs
Author(s) -
Dilip Kumar Ghosh,
Nisha Desai,
Shreya Ghosh
Publication year - 2021
Publication title -
journal of modern applied statistical methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.169
H-Index - 28
ISSN - 1538-9472
DOI - 10.22237/jmasm/1608552960
Subject(s) - pairwise comparison , mathematics , block (permutation group theory) , block design , combinatorics , table (database) , construct (python library) , discrete mathematics , statistics , computer science , data mining , programming language
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.