Three-way cross designs for animal breeding experiments

MOHD HARUN; CINI VARGHESE; ELDHO VARGHESE; SEEMA JAGGI

doi:10.56093/ijans.v86i6.59238

Authors

MOHD HARUN Indian Agricultural Statistics Research Institute, Library Avenue, New Delhi 110 012 India
CINI VARGHESE Indian Agricultural Statistics Research Institute, Library Avenue, New Delhi 110 012 India
ELDHO VARGHESE Indian Agricultural Statistics Research Institute, Library Avenue, New Delhi 110 012 India
SEEMA JAGGI Indian Agricultural Statistics Research Institute, Library Avenue, New Delhi 110 012 India

https://doi.org/10.56093/ijans.v86i6.59238

Keywords:

Association scheme, Combining abilities, Partially balanced incomplete block designs, Triallel crosses, Triangular designs

Abstract

Three-way crossbreeding has been a major tool for the development of present day commercial breeds. The hybrids thus produced are more stable and they exhibit individual as well as population buffering mechanism because of the broad genetic base. Here, 2 methods of constructing designs for breeding trials involving complete/ partial three-way crosses were developed. Among these, first method is based on mutually orthogonal Latin squares, which yield three-way crosses arranged in blocks. The other method is derived from two-associate class partially balanced incomplete block designs. The efficiency factor in terms of information per cross pertaining to general combining ability effects of half parents as well as full parents in comparison to a complete triallel cross plan, assuming the error variance to be same for both the plans, was computed. All these designs have a good efficiency. Parameters of the designs constructed are listed together with the efficiency factors.

Downloads

Download data is not yet available.

References

Arora B S and Aggarwal K R. 1984. Confounded triallel experiments and their applications. Sankhya B46: 54-63.

Bose R C and Nair K R. 1939. Partially balanced incomplete block designs. Sankhya 4: 337-72.

Dharmalingam M. 2002. Construction of partial triallel crosses based on Trojan square designs. Journal of Applied Statistics 29 (5): 695-702. DOI: https://doi.org/10.1080/02664760120098757

Hinkelmann K. 1965. Partial triallel crosses. Sankhya 27: 173–96.

Hoffmann I. 2005. Research and investment in poultry genetic resources-challenges and options for sustainable use. World Poultry Science Journal 61: 57-69. DOI: https://doi.org/10.1079/WPS200449

Khawaja T, Khan S H, Mukhtar N, Parveen A G and Fareed A. 2013. Production performance, egg quality and biochemical parameters of three way crossbred chickens with reciprocal F1 crossbred chickens in sub-tropical environment. Italian Journal of Animal Science 12 (1): 178-89. DOI: https://doi.org/10.4081/ijas.2013.e21

Ponnuswamy K N. 1971. ‘Some contributions to design and analysis of diallel and triallel crosses.’ Unpublished Ph.D. Thesis, IARI, New Delhi.

Ponnuswamy K N and Srinivasan M R. 1991. Construction of partial triallel crosses (PTC) using a class of balanced incomplete block designs (BIBD). Communications in Statistics - Theory and Methods A20: 3315-23. DOI: https://doi.org/10.1080/03610929108830704

Sharma M K, Atsedeweyn A and Misganaw B. 2012. Optimal partial triallel cross designs. Model Assisted Statistics and Applications 7 (2): 99-106. DOI: https://doi.org/10.3233/MAS-2011-0216

Sharma A, Varghese C and Jaggi S. 2013. A web solution for partially balanced incomplete block experimental designs. Computers and Electronics in Agriculture 99: 132-34. DOI: https://doi.org/10.1016/j.compag.2013.09.004

Varghese C and Jaggi S. 2011. Mating designs using generalized incomplete Trojan-type designs. Journal of Statistics and Applications 6 (3-4): 85-93.