Designs for animal experiments under two-way blocking structure in the presence of systematic trend
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Keywords:Latin square design, Systematic trend, Trend-free designs, Trend resistance, Two-way blocking
Designs under two-way blocking structure are quite useful in animal experiments. Further, in animal experiments, situations are also quite prevalent where there are evidences of systematic trend component influencing the response. These effects are generally neglected but they may have significant impact on the precision of the experiments, if considered. Suitably choosing a design will nullify the effect of such systematic trend. The present article describes the model under two-way blocking structure incorporating systematic trend component. The condition to nullify the effects of trend component when they are present in the experimental material has been obtained and illustrated under a two-way blocking structure. The analytical procedure has been explained through a hypothetical dataset to show the significance of such effects. The results shows that systematic trend component have significant impact on the precision of the experiments and hence will affect the inference.
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 Unpublished Ph.D. Thesis, IARI, New Delhi.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): 117–33.
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.
Jacroux M, Majumdar D and Shah K R. 1997. On the determination and construction of optimal block designs in the presence of linear trend. Journal of the American Statistical Association 92: 375–82. DOI: https://doi.org/10.1080/01621459.1997.10473636
Lal K, Parsad R and Gupta V K. 2007. Trend-free nested balanced incomplete block designs and designs for diallel cross experiments. Calcutta Statistical Association Bulletin 59: 203– 21. DOI: https://doi.org/10.1177/0008068320070306
Majumdar D and Martin R J. 2002. Finding optimal designs in the presence of trends. Journal of Statistical Planning and Inference 106: 177–90. DOI: https://doi.org/10.1016/S0378-3758(02)00211-2
Sarkar K A, Jaggi S, Bhowmik A, Varghese E and Varghese C. 2017. Trend resistant neighbour balanced bipartite block designs. Journal of the Indian Society of Agricultural Statistics 71: 53–59.
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