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Nested designs with block size five and subblock size two

✍ Scribed by Sanpei Kageyama; Ying Miao

Book ID: 104340369
Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 605 KB
Volume: 64
Category: Article
ISSN: 0378-3758
DOI: 10.1016/s0378-3758(96)00210-8

No coin nor oath required. For personal study only.

✦ Synopsis

The block designs considered here are nested in the unified sense of Preece (Biometrika 54 (1967) 479 486) and Federer (in: Statistical Papers in Honour of George W. Snedecor, 1972), i.e. each block of the larger design contains several distinguished families of mutually disjoint subblocks, the subblocks of the same family belonging to the same system, such that each system forms the collection of blocks of some design. In this paper, nested balanced incomplete block designs and nested group divisible designs are investigated. It is shown that the necessary conditions for the existence of nested balanced incomplete block designs are also sufficient for block size 5 and subblock size 2.

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