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Communications in Statistics - Theory and Methods Volume 47, 2018 - Issue 9
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Original Articles

Group divisible designs with block size five from Clatworthy's table

Dinesh SarvateDepartment of Mathematics, College of Charleston, Charleston, SC, USA
,
Nutan MishraDepartment of Mathematics and Statistics, University of South Alabama, Mobile, AL, USACorrespondence[email protected]
&
Kasifa NamyaloDepartment of Mathematics, Mbarara University of Science and Technology, Mbarara, Uganda
Pages 2085-2097 | Received 04 Nov 2015, Accepted 13 Apr 2016, Published online: 01 Feb 2018

References

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  • Clatworthy, W. H. 1973. Tables of two-associate-class partially balanced designs. NBS Applied Mathematics Series, 63, U.S. Department of Commerce, National Bureau of Standards, Washington, D.C.
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  • Hurd, S. P., N. Mishra, and D. G. Sarvate. 2007. A new construction for group divisible designs with block size five and few groups. ARS Comb. 84:243–245.
  • Hurd, S. P., N. Mishra, and D. G. Sarvate. 2009. Group divisible designs with two groups and block size five with fixed block configurations. J. Combin. Math. Combin. Comput. 70:15–31.
  • Hurd, S. P., and D. G. Sarvate. 2008. Group divisible designs with block size four and two groups. Discrete Math. 308:2663–2673.
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  • Mwesigwa, R., D. G. Sarvate, and L. Zhang. 2016. Group divisible designs of four groups and block size five with configuration (1, 1, 1, 2). J. Algebra Comb. Discrete Struct. Appl. Accepted.
  • Raghavarao, D. 1988. Constructions and Combinatorial Problems in Design of Experiments (Corrected Reprint of the 1971 Wiley ed.). New York: Dover.
  • Rodger, C. A., and J. Rogers. 2010. Generalizing Clatworthy group divisible designs. J. Stat. Plann. Inference 140 (9):2442–2447.
  • Rodger, C. A., and J. Rogers. 2012. Generalizing Clatworthy group divisible designs. JCMCC 80:299–320.
  • Stinson, D. R. 2004. Combinatorial Designs: Constructions and Analysis. New York: Springer-Verlag.

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