Bhartiya Krishi Anusandhan Patrika
  • Year: 2020
  • Volume: 35
  • Issue: 1and2

Three-associate class partially balanced incomplete block designs through kronecker product

  • Author:
  • Cini Varghese, Seema Jaggi, Mohd Harun, Devendra Kumar
  • Total Page Count: 4
  • Page Number: 102 to 105

ICAR-Indian Agricultural Statistics Research Institute, Pusa, New Delhi-110 012, India

*Corresponding author's E-mail:cini2204@gmail.com

Online published on 25 May, 2021.

Abstract

Kronecker product of matrices can be advantageously used to obtain three-associate class partially balanced incomplete block (PBIB) designs from two-associate class PBIB designs, for a larger number of treatments. This method has been described here and two such series of PBIB designs are obtained. If the experimenter is constrained of resources, theses designs can be used as an alternative to balanced incomplete block designs or 2-associate class partially balanced incomplete block designs.

Keywords

Incomplete block design, Kronecker product, Nested group divisible association scheme, Partially balanced, Triangular (3) association scheme