Construction and existence of constant block sum PBIB designs

Namisha Bansal and Davinder Kumar Garg

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 7, 2231-2241

Abstract: The present article proposes three series of partially balanced incomplete constant block sum designs constructed using regular graphs. Two series develop a three-associate class PBIB designs and one develops a five-associate class PBIB design. Moreover, we were able to show the existence of constant block sum PBIB designs with their parameters for a specified association scheme. Towards the end, we have discussed few possible designs, the blocks of which may be constructed from the association schemes discussed in the present research paper.

Date: 2022
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DOI: 10.1080/03610926.2020.1772308

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