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Pattern of PBIB Design Having Higher Associated Class by Juxtapositions in Association Matrices

Pattern of PBIB Design Having Higher Associated Class by Juxtapositions in Association Matrices
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Author(s): Gurinder Pal Singh (Chandigarh University, India)and Amandeep Singh (Chitkara Business School, Chitkara University, India)
Copyright: 2024
Pages: 10
Source title: Sustainable Investments in Green Finance
Source Author(s)/Editor(s): Sanjay Taneja (Graphic Era University (Deemed), India), Pawan Kumar (Chandigarh University, India), Simon Grima (Department of Insurance, Faculty of Economics Management and Accountancy, University of Malta, Msida, Malta & Faculty of Business, Management and Economics, University of Latvia, Riga, Latvia), Ercan Ozen (Usak University, Turkey)and Kiran Sood (Chitkara Business School, Chitkara University, India & Research Fellow at the Women Researchers Council (WRC) at Azerbaijan State University of Economics (UNEC), Azerbaijan)
DOI: 10.4018/979-8-3693-1388-6.ch008

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Abstract

This chapter represents two new series of partially balanced incomplete block (PBIB) designs. Association matrices based on incidence relation of vertices of a bi-partite graph of order s (s>=3) are being taken as base design. The foundation series of given PBIB designs are used to construct two more series of PBIB patterns, having three and four associated class, respectively, through promoting an idea of juxtapositions in association matrices of base design. To better comprehend the construction procedures, association schemes, P – matrices, efficiency factors of all types, as well as total efficiency, factors have been examined with examples from above series.

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