Mating plans for breeding trials using generalized row-column designs


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Authors

  • ANINDITA DATTA ICAR-Indian Agricultural Statistics Research Institute, New Delhi 110 012, India
  • SEEMA JAGGI Krishi Anusandhan Bhavan II, New Delhi
  • CINI VARGHESE ICAR-Indian Agricultural Statistics Research Institute, New Delhi 110 012, India
  • ELDHO VARGHESE ICAR-Central Marine Fisheries Research Institute, Kochi
  • MOHD HARUN ICAR-Indian Agricultural Statistics Research Institute, New Delhi 110 012, India
  • ARPAN BHOWMIK ICAR-Indian Agricultural Statistics Research Institute, New Delhi 110 012, India

https://doi.org/10.56093/ijas.v91i10.117525

Keywords:

Degree of fractionation, Partial diallel cross, Partial triallel cross, Row-column design

Abstract

Generalized Row-Column (GRC) designs are used where there is more than one unit in each row-column intersection. Mating plan is a systematic procedure of producing the progenies. Diallel and triallel crosses are some examples of mating plans. In literature there are many mating plans which are developed using block/row-column designs. The objective of the present study is to obtain mating plans using GRC designs. The research work has been done at ICAR-IASRI during 2019-20. Here, methods of obtaining partial diallel crosses (PDC) and partial triallel crosses (PTC) plans using different classes of GRC designs have been described. The plans obtained using these designs will yield smaller degree of fractionation thereby reducing resources.

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References

Bailey R A. 1988. Semi Latin squares. Journal of Statistical Planning and Inference 18: 299–312. DOI: https://doi.org/10.1016/0378-3758(88)90107-3

Bailey R A. 1992. Efficient semi-Latin squares. Statistica Sinica 2: 413–37.

Bailey R A and Monod H. 2001. Efficient semi-Latin rectangles: Designs for plant disease experiments. Scandanavian Journal of Statistics 28: 257–70. DOI: https://doi.org/10.1111/1467-9469.00235

Bedford D and Whitaker R M. 2001. A new construction for efficient semi-Latin squares. Journal of Statistical Planning and Inference 98: 287–92. DOI: https://doi.org/10.1016/S0378-3758(00)00303-7

Datta A, Jaggi S, Varghese C and Varghese E. 2014. Structurally incomplete row-column designs with multiple units per cell. Statistics and Applications 12(1&2): 71–79.

Datta A, Jaggi S, Varghese C and Varghese E. 2015. Some series of row-column designs with multiple units per cell. Calcutta Statistical Association Bulletin 67(265-266): 89–99. DOI: https://doi.org/10.1177/0008068320150107

Datta A, Jaggi S, Varghese C and Varghese E. 2016. Series of incomplete row-column designs with two units per cell. Advances in Methodology and Statistics 13(1): 17–25. DOI: https://doi.org/10.51936/jhrj9152

Datta A, Jaggi S, Varghese E and Varghese C. 2017. Generalized confounded row-column designs. Communication in Statistics: Theory and Methods 46(12): 6213–21. DOI: https://doi.org/10.1080/03610926.2015.1122062

Edmondson R N. 1998. Trojan square and incomplete Trojan square design for crop research. Journal of Agricultural Science 131: 135–42. DOI: https://doi.org/10.1017/S002185969800567X

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

Jaggi S, Varghese C, Varghese E and Sharma V K. 2010. Generalized incomplete Trojan-type designs. Statistics and Probability Letters 80: 706–10. DOI: https://doi.org/10.1016/j.spl.2009.12.028

Varghese C and Jaggi S. 2011. Construction of mating plans for breeding experiments using generalized incomplete Trojan type designs. Journal of Statistics and Application 6(3-4): 85–93.

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Submitted

2021-11-02

Published

2021-11-02

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How to Cite

DATTA, A., JAGGI, S., VARGHESE, C., VARGHESE, E., HARUN, M., & BHOWMIK, A. (2021). Mating plans for breeding trials using generalized row-column designs. The Indian Journal of Agricultural Sciences, 91(10), 1542–1545. https://doi.org/10.56093/ijas.v91i10.117525
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