t-designs involving treatment combinations for animal experimentation


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Authors

  • SAYANTANI KARMAKAR ICAR-Indian Agricultural Research Institute, Pusa, New Delhi
  • CINI VARGHESE ICAR-Indian Agricultural Statistics Research Institute, Pusa, New Delhi
  • SEEMA JAGGI HRD, KAB II, Indian Council of Agricultural Research, New Delhi
  • MOHD HARUN ICAR-Indian Agricultural Statistics Research Institute, Pusa, New Delhi

https://doi.org/10.56093/ijans.v93i3.122949

Keywords:

3-designs, Compound cattle feed, Incomplete block designs, Integrated farming system, Partially balanced, Triangular association scheme

Abstract

Small and marginal farmers in India prefer an Integrated Farming System (IFS) approach i.e. a mixture of crop and livestock that enables them to maintain a stable income throughout the year. Identifying the best location-specific t-component crop-livestock combination to generate maximum profit is the major concern. t-designs can play a vital role in bringing out those best combinations. However, in many situations, combinations derived from specific components may not be practically feasible in a certain locality. Partially balanced t-designs with few selected combinations may prove to be useful in such situations. t-designs are special type of partially balanced incomplete block (PBIB) designs with some additional properties. Here, two series of partially balanced t-designs with some interesting characterization properties have been obtained by using the triangular association scheme. These designs find high application potential in crop and animal experimentation, especially in IFS research involving both crop and livestock components.

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References

Bose R C and Nair K R. 1939. Partially balanced incomplete block designs. Sankhyā: The Indian Journal of Statistics 337–372.

Calvin L D. 1954. Doubly balanced incomplete block designs for experiments in which the treatment effects are correlated. Biometrics 10: 61–88. DOI: https://doi.org/10.2307/3001664

Clatworthy W H. 1973. Tables of Two-associate-class Partially Balanced Designs (Vol. 63). US National Bureau of Standards, New York.

David A. 2017. Construction of some resolvable t-designs. Science Journal of Applied Mathematics and Statistics 5(1): 49–53. DOI: https://doi.org/10.11648/j.sjams.20170501.17

Hedayat A and Kageyama S. 1980. The family of t-designs-part I. Journal of Statistical Planning and Inference 4: 173–212. DOI: https://doi.org/10.1016/0378-3758(80)90006-3

Kageyama S and Hedayat A. 1983. The family of t-designs-part II. Journal of Statistical Planning and Inference 7: 257–87. DOI: https://doi.org/10.1016/0378-3758(83)90019-8

Karmakar S, Varghese C, Jaggi S and Harun M. 2021. Partially balanced t-designs. Communications in Statistics-Simulation and Computation (In Press). https://www.tandfonline.com/doi/abs/10.1080/03610918.2021.2008436 DOI: https://doi.org/10.1080/03610918.2021.2008436

Naik P K, Swain B K and Beura C K. 2022. Duck production in India-A review. Indian Journal of Animal Sciences 92(8): 917–26. DOI: https://doi.org/10.56093/ijans.v92i8.118712

Ravisankar N, Ansari M A, Shamim M, Prusty A K, Singh R, Panwar A S, Dutta D, Bhaskar S, Bindhu J S, Sanjay M T, Kaur J, Varghese C, Dash S, Bhowmik A and Bal S K. 2022. Sustainable livelihood security of small farmers improved through a resilient farming system in the semiarid region of India. Land Degradation and Development, 1–13. DOI: https://doi.org/10.1002/ldr.4358

Shrikhande S S. 1952. On the dual of some balanced incomplete block designs. Biometrics 66-72. DOI: https://doi.org/10.2307/3001527

Singh S P, Gill M S, Gangwar B and Singh M P. 2011. Livestock in irrigated farming systems of Uttar Pradesh. Indian Journal of Animal Sciences 79(9): 925–31.

Trung T V. 2001. Recursive constructions for 3-designs and resolvable 3-designs. Journal of Statistical Planning and Inference 95: 341–58. DOI: https://doi.org/10.1016/S0378-3758(00)00308-6

Trung T V. 2017. Simple t-designs: A recursive construction for arbitrary t. Designs, Codes and Cryptography 83(3): 493–502. DOI: https://doi.org/10.1007/s10623-016-0238-z

Trung T V. 2019. Recursive constructions for s-resolvable t-designs. Design, Codes and Cryptography 87: 2835–45. DOI: https://doi.org/10.1007/s10623-019-00653-6

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Submitted

2022-04-01

Published

2023-04-12

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Articles

How to Cite

KARMAKAR, S., VARGHESE, C., JAGGI, S., & HARUN, M. (2023). t-designs involving treatment combinations for animal experimentation. The Indian Journal of Animal Sciences, 93(3), 314–317. https://doi.org/10.56093/ijans.v93i3.122949
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