A note on generalization of distinct representatives
type: Item
instance of: scholarly article
title: A note on generalization of distinct representatives
zbMATH Open document ID: 1094.62518
DOI: 10.1016/S0167-7152(98)00063-7
author: Feng Shun Chai
published in: Statistics \& Probability Letters
publication date: 1998-01-01T00:00:00Z
review text: \textit{H. Agrawal} [Ann. Math. Stat. 37, 525--528 (1966; Zbl 0134.36602)] 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.
Mathematics Subject Classification ID: 62K10
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 1202790
zbMATH Keywords: Systems of distinct representatives
zbMATH Keywords: Block designs
MaRDI profile type: Publication
cites work: Some Generalizations of Distinct Representatives with Applications to Statistical Designs
cites work: An existence theorem for latin squares
cites work: Systems of Distinct Representatives
cites work: Some Generalizations of the Problem of Distinct Representatives
full work available at URL: s0167-7152(98)00063-7
OpenAlex ID: W1969647184
description: scientific article; zbMATH DE number 1202790