Construction and existence of constant block sum PBIB designs
Date
2022
Authors
Bansal, N.
Garg, D.K.
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Journal article
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Communications in Statistics - Theory and Methods, 2022; 51(7):2231-2241
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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.
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Copyright 2020 Taylor & Francis Group