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Research Article

Bhartiya Krishi Anusandhan Patrika, volume 34 issue 3-4 (september-december 2019) : 245-247

A Note on Linear Trend Free Designs in Two Plots Per Block

Rahul Kumar Gupta, Arpan Bhowmik, Seema Jaggi, Mohd. Harun, Cini Varghese, Anindita Datta, Devendra Kumar

Affiliations

¹ICAR- Indian Agricultural Statistic Research Institute, New Delhi-110 012, India.

Submitted03-02-2020|
Accepted02-03-2020|
First Online 27-03-2020|
doi 10.18805/BKAP186

Cite article:- Gupta Kumar Rahul, Bhowmik Arpan, Jaggi Seema, Harun Mohd., Varghese Cini, Datta Anindita, Kumar Devendra (2020). A Note on Linear Trend Free Designs in Two Plots Per Block. Bhartiya Krishi Anusandhan Patrika. 34(3): 245-247. doi: 10.18805/BKAP186.

ABSTRACT

In this article, we have discussed some aspects of block designs under systematic trend component. The necessary and sufficient condition for a block design to be trend free has been highlighted. A method of constructing linear trend free block designs in two plots per block have been discussed. The characterization properties of such designs have been investigated.

KEYWORDS

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REFERENCES

Bhowmik A. (2013). Experimental designs involving treatments exhibiting interference effects. Unpublished Ph.D. Thesis, IARI, New Delhi.
Bhowmik A., Jaggi S., Varghese C. and Varghese E. (2014). Trend free block designs balanced for interference effects from neighbouring experimental units. Journal of Combinatorics Information and System Sciences 39 (1-4): 117-133.
Bhowmik A., Jaggi S., Varghese C. and Varghese E. (2015). Trend free second order neighbour balanced block designs. Journal of Indian Statistical Association 53 (1 and 2): 63-78.
Bhowmik A., Jaggi S., Varghese E. and Yadav S. K. (2017). Trend free design under two-way elimination of Heterogeneity. RASHI 2(1): 34-38.
Bhowmik A., Varghese E., Jaggi S. and Yadav S. K. (2018a). Designs for animal experiments under two-way blocking structure in the presence of systematic trend. Indian Journal of Animal Sciences, 88 (1), 121–124.
Bhowmik A., Jaggi S., Varghese E., Yadav S. K., Harun M., Varghese C., Datta A. and Singh U. (2018b). Trend free designs under two source of heterogeneity useful for animal experiments. Bhartiya Krishi Anusandhan Patrika, 33(3), 200-202.
Bradley R. A. and Yeh C. M. (1980). Trend-free block designs: theory. Annals of Statistics, 8: 883-893.
Jacroux M., Majumdar D. and Shah K. R. (1995). Efficient block designs in the presence of trends. Statistica Sinica, 5, 605-615.
Majumdar D. and Martin R. J. (2002). Finding optimal designs in the presence of trends. Journal of Statistical Planning and Inference 106: 177-190.
Yeh C. M. and Bradley R. A. (1983). Trend-free block designs: existence and construction results. Communication in Statistics-Theory and Methods, 12(1): 1-24.

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This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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