Some characterization of locally resistant BIB designs of degree one

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1987 English Publisher:Springer Science and Business Media LLCJournal:Annals of the Institute of Statistical Mathematics, volume 39, pages 661-669 (issn: 0020-3157, eissn: 1572-9052,

Copyright policy )

Authors: Kageyama, Sanpei;

doi: 10.1007/bf02491498

Some characterization of locally resistant BIB designs of degree one

- Summary
- Subjects
- Metrics

Abstract

This paper investigates locally resistant balanced incomplete block (LRBIB) designs of degree one. A new necessary condition for the existence of such an LRBIB design is presented. This condition yields a complete characterization of affine α-resolvable LRBIB designs of degree one. Furthermore, regarding construction methods of LRBIB designs of degree one, it is shown that Shah and Gujarathi's method (1977,Sankhya, B39, 406–408) yields the same parameters as Hedayat and John's method (1974,Ann. Statist.,2, 148–158), but their block structures are different and interesting.

Related Organizations

Hiroshima University
Japan

Keywords

Statistical block designs

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	7
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average