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Communications in Statistics - Theory and Methods Volume 48, 2019 - Issue 20
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Original Articles

A note on the nonexistence of the constant block-sum balanced incomplete block designs

Ravindra KhattreeDepartment of Mathematics and Statistics, Center for Data Science and Big Data Analytics, Center for Biomedical Research, Oakland University, Rochester, MI, USACorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-9305-2365
ORCID Icon
Pages 5165-5168 | Received 05 Apr 2018, Accepted 31 Jul 2018, Published online: 11 Nov 2018
 
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Abstract

Due to important practical applications and considerations in biomedical clinical trials, fixed block-sum designs are of interest. We show that in general, the constant block-sum balanced incomplete block designs do not exist.

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