Zig-Zag matrix for resolvable nested balanced incomplete block designs

  • A. Jamiu Saka Obafemi Awolowo University
  • B. Lateef Adeleke University of Ilorin
  • T. Gbolahan Jaiyeola Obafemi Awolowo University

Abstract

This paper presents a method of construction of designs which utilizes special matrix structures referred to as Zig-zag. The Zig-zag matrix structures give rise to initial blocks for resolvable nested balanced incomplete block designs (RNBIBDs). The construction of the designs for \((v)\) treatment number being a perfect square with specific interest on \((k)\) block size as a prime number are presented. The designs constructed are of high efficiency with minimum blocks. A generalized information matrix is also obtained.

Published
2017-05-13
How to Cite
SAKA, A. Jamiu; ADELEKE, B. Lateef; JAIYEOLA, T. Gbolahan. Zig-Zag matrix for resolvable nested balanced incomplete block designs. International Journal of Algebra and Statistics, [S.l.], v. 6, n. 1-2, p. 81-94, may 2017. ISSN 2314-4556. Available at: <http://m-sciences.com/index.php?journal=ijas&page=article&op=view&path%5B%5D=1233>. Date accessed: 16 oct. 2017. doi: https://doi.org/10.20454/ijas.2017.1233.
Section
Articles