Characterization of Group Divisible Designs

Authors

  • yoti Sharma Centre for Mathematical Sciences, Banasthali University, Rajasthan
  • Jagdish Prasad Co-ordinator of Amity School of Applied Sciences,Amity University, Rajasthan, Jaipur
  • D. K. Ghosh Department of Statistics, Saurashtra University, Rajkot

DOI:

https://doi.org/10.15415/mjis.2016.42014

Keywords:

Association Scheme, Group Divisible designs

Abstract

In this paper, some inequalities of PBIB designs have been given. In this paper, the characterization of all the three types of GD designs, by finding some equalities and inequalities among the parameters of GD designs is obtained.

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References

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Bose, R.C. and Nair, K.R. Partially Balanced Incomplete Block Designs. Sankhya. 4, 307- 372 , (1939).

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Ghosh, D. K. and Divecha, Jyoti. Some new semi-regular GD designs, Sankhya, 57, 453-455, (1995).

Kageyama, S. A structural classification of semi-regular group divisible designs, Journal of Statist. and Prob. Letters, 3, 25-27, (1985a). http://dx.doi.org/10.1016/0167-7152(85)90007-0

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Nair, K. R. and Rao, C. R. A Note on Partially Balanced Incomplete Block Designs, Journal of Science and Culture, 7, 568-569, (1942).

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Published

2016-03-30

How to Cite

yoti Sharma, Jagdish Prasad, and D. K. Ghosh. 2016. “Characterization of Group Divisible Designs”. Mathematical Journal of Interdisciplinary Sciences 4 (2):161-75. https://doi.org/10.15415/mjis.2016.42014.

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