Journal of
Agricultural Biotechnology and Sustainable Development

  • Abbreviation: J. Agric. Biotech. Sustain. Dev.
  • Language: English
  • ISSN: 2141-2340
  • DOI: 10.5897/JABSD
  • Start Year: 2009
  • Published Articles: 143

Full Length Research Paper

Variance balanced designs for complete diallel cross

M. K. Sharma* and Sileshi Fanta
Addis Ababa University, Addis Ababa, Ethiopia.
Email: [email protected]

  •  Accepted: 11 January 2010
  •  Published: 30 April 2010

Abstract

 

Optimal block designs for complete diallel cross system IV was investigated by several authors in presence and absence of specific combining ability parameters in the model. But there are drawbacks in their designs. Firstly, their designs consume more experimental units when these are used for experiments to estimate general and specific combining ability effects and secondly, these designs are not available for every value of p of parental lines. In the present paper we are proposing a simple method of construction of balanced and orthogonal block designs for every value for p of parental lines for complete diallel cross plans connected for cross effects through cycle permutation of initial block with minimum possible number of experimental units and at the same time these designs allow same precision for estimation of contrasts of general and specific combining ability of participating lines. The analysis is presented for data obtainable from proposed designs. The statistical analysis includes the analysis of variance and the estimation of general and specific combining abilities.

 

Key words: Incomplete block design, complete diallel cross, general combining ability, specific combining ability, mating-environment design, variance balanced.