Uniformity of incomplete block designs. (24th February 2004)

• Record Type: Journal Article
• Authors: Liu, Min-Qian; Chan, Ling-Yau
• Is Part Of: International journal of material & product technology. Volume 20:Number 1-3(2004)
• Page Start: 143
• Page End: 149
• Publication Date: 2004-02-24
• Subjects: balanced incomplete block design -- uniformity -- uniform design -- discrepancy; Manufacturing processes -- Periodicals; Materials -- Testing -- Periodicals; 620.11
• Languages: English
• ISSNs: 0268-1900

Abstract

Incomplete block designs are a type of experimental design layout that has had widespread use in science and engineering. A balanced incomplete block design (BIB) can be characterised by the balanced arrangement of its design points. In this article, incomplete block designs will be investigated from a new perspective: the perspective of uniformity in distribution of design points. A design is of high uniformity, or low discrepancy, if its design points distribute uniformly over the entire design space. The authors use a general discrepancy measure to prove theoretically that BIBs are the most uniform ones among all binary incomplete block designs.