A relation between pairwise balanced and variance balanced block designs

A. Hedayat; J. Stufken

doi:10.1080/01621459.1989.10478830

A relation between pairwise balanced and variance balanced block designs

A. Hedayat, J. Stufken

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We show that the problems of constructing pairwise balanced block designs and variance balanced block designs are equivalent. This provides incentive to study only the direct construction for the simplest of these designs—namely, pairwise balanced designs.

Original language	English (US)
Pages (from-to)	753-755
Number of pages	3
Journal	Journal of the American Statistical Association
Volume	84
Issue number	407
DOIs	https://doi.org/10.1080/01621459.1989.10478830
State	Published - Sep 1989
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1080/01621459.1989.10478830

Cite this

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title = "A relation between pairwise balanced and variance balanced block designs",

abstract = "We show that the problems of constructing pairwise balanced block designs and variance balanced block designs are equivalent. This provides incentive to study only the direct construction for the simplest of these designs—namely, pairwise balanced designs.",

author = "A. Hedayat and J. Stufken",

note = "Funding Information: • A. Hedayat is Professor, Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago, IL 60680. J. Stufken is Assistant Professor, Department of Statistics, Iowa State University, Ames, IA 50011. The research for this article was sponsored by U.S. Air Force Office of Scientific Research Grants 85-0320 and 89-0221.",

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AU - Stufken, J.

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PY - 1989/9

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N2 - We show that the problems of constructing pairwise balanced block designs and variance balanced block designs are equivalent. This provides incentive to study only the direct construction for the simplest of these designs—namely, pairwise balanced designs.

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ER -

A relation between pairwise balanced and variance balanced block designs

Abstract

ASJC Scopus subject areas

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