A complete class of balanced incomplete block designs [beta] (7, 35, 15, 3, 5) with repeated blocks

S. Mandal, D.K. Ghosh, R.K. Sharma and S.C. Bagui

Statistics & Probability Letters, 2008, vol. 78, issue 18, 3338-3343

Abstract: Raghavarao, Federer and Schwager [Raghavarao, D., Federer, W.T., Schwager, S.J., 1986. Characteristics for distinguishing among balanced incomplete block designs with repeated blocks. Journal of Statistical Planning and Inference 13, 151-163] obtained a class of balanced incomplete block (BIB) designs [beta] (7, 21, 9, 3, 3), where nine out of ten BIB designs are of repeated blocks. Ghosh and Shrivastava [Ghosh, D.K., Shrivastava, S.B., 2001. A class of BIB designs with repeated blocks. Journal of Applied Statistics 28, 821-833] obtained another class of BIB designs [beta] (7, 28, 12, 3, 4) with repeated blocks where fourteen out of fifteen BIB designs are of repeated blocks. In this article we present a complete class of BIB designs [beta] (7, 35, 15, 3, 5) where one BIB design has distinct blocks while the remaining thirty designs are of repeated blocks. These thirty-one BIB designs are compared on the basis of the number of repeated blocks and the frequencies of variance of block effect contrasts. Although the parameters of the thirty-one BIB designs are the same, some of them are found to be isomorphic design, and hence they are new solutions of the given plan.

Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(08)00324-6
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:78:y:2008:i:18:p:3338-3343

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().