Three-way cross designs for test lines vs. control line comparisons

  • Mohd Harun Indian Agricultural Statistics Research Institute, Library Avenue, New Delhi – 110 012
  • Cini Varghese ICAR-IASRI PUSA, NEW DELHI - 110 012
  • Eldho Varghese
  • Seema Jaggi
Keywords: Triangular association scheme, combining abilities, partially balanced incomplete block designs

Abstract

The selection of appropriate parental lines and crossing plans are the most important keys for a successful breeding programme. Three-way crosses are intermediate between single and double cross hybrids and hence are economical with respect to uniformity, yield, stability and the relative simplicity of selecting and testing. When a number of test lines are to be compared to a control line, the main interest of the experimenter centres around comparing test vs. control lines with a high precision. For such situations, two series of designs have been developed using partially balanced incomplete block designs and their association schemes. In the designs obtained, three-way crosses are arranged in incomplete blocks and hence heterogeneity in the experimental field can be controlled in blocks of smaller sizes. It is found that the proposed designs make test vs. control lines comparisons with a higher precision.

Author Biographies

Mohd Harun, Indian Agricultural Statistics Research Institute, Library Avenue, New Delhi – 110 012
Indian Agricultural Statistics Research Institute, Library Avenue,
New Delhi – 110 012
Cini Varghese, ICAR-IASRI PUSA, NEW DELHI - 110 012
Principal Scientist
Division of Design of Experiments
ICAR-IASRI
New Delhi - 12
Published
13-06-2016
Section
Research Article