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Journal article
A complete class of balanced incomplete block designs beta (7,35,15,3,5) with repeated blocks
Statistics & probability letters, Vol.78(18), pp.3338-3343
12/15/2008
Web of Science ID: WOS:000261589300035
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.
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Details
- Title
- A complete class of balanced incomplete block designs beta (7,35,15,3,5) with repeated blocks
- Publication Details
- Statistics & probability letters, Vol.78(18), pp.3338-3343
- Resource Type
- Journal article
- Publisher
- Elsevier
- Number of pages
- 6
- Grant note
- Natural Sciences and Engineering Research Council of Canada; Natural Sciences and Engineering Research Council of Canada (NSERC); CGIAR
- Copyright
- © 2008 Elsevier B.V. All rights reserved.
- Identifiers
- WOS:000261589300035; 99381379052106600
- Academic Unit
- Mathematics and Statistics; Hal Marcus College of Science and Engineering
- Language
- English