Nearly balanced incomplete block designs

SUMMARY A class of nearly balanced incomplete block designs is defined. This extends the concept of regular graph designs of John & Mitchell (1977) to the unequally replicated case. Some necessary conditions for the existence of such designs are derived. Methods of construction are given for som...

Full description

Saved in:
Bibliographic Details
Published in:Biometrika 1981-08, Vol.68 (2), p.493-500
Main Authors: CHENG, CHING-SHUI, WU, CHIEN-FU
Format: Article
Language:English
Subjects:
Adjacency matrix
Design efficiency
Efficiency metrics
Integers
Logical givens
Necessary conditions
Vertices
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:SUMMARY A class of nearly balanced incomplete block designs is defined. This extends the concept of regular graph designs of John & Mitchell (1977) to the unequally replicated case. Some necessary conditions for the existence of such designs are derived. Methods of construction are given for some special cases. For five or six varieties, the ‘best’ nearly balanced incomplete block designs and their efficiencies are tabulated.
ISSN:0006-3444
1464-3510
DOI:10.1093/biomet/68.2.493