Uniformity of incomplete block designs
by Min-Qian Liu, Ling-Yau Chan
International Journal of Materials and Product Technology (IJMPT), Vol. 20, No. 1/2/3, 2004

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.

Online publication date: Mon, 10-May-2004

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