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A note on generalization of distinct representatives

โœ Scribed by Feng-Shun Chai

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
211 KB
Volume
39
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

โœฆ Synopsis

Agrawal (1966 Ann. Math. Statist. 37, 525-528) explored the concept of systems of distinct representatives to show that the treatments in a binary equireplicated incomplete block design can be rearranged within blocks such that the treatments occur as close to equally often as possible in every row. In this note, examples are given to show that Agrawal's proof is incomplete and a complete proof is presented. It follows from our modified proof that the same result also holds for non-binary or unequireplicated block designs. (~

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