References
- Azais, J.-M., R. A. Bailey, and H. Monod. 1993. A catalogue of efficient neighbour design with border plots. Biometrics 49 (4):1252–61. doi:10.2307/2532269.
- Azais, J. M., and P. Druilhet. 1997. Optimality of neighbour balanced designs when neighbour effects are neglected. Journal of Statistical Planning & Inference 64 :353– 67. doi:10.1016/S0378-3758(96)00213-3.
- Bhaumik, D. K. 1995. Optimality in the competing effect model. Sankhya B 57 :48– 56.
- Bailey, R. A. 2003. Designs for one-sided neighbour effects. Journal of the Indian Society of Agricultural Statistics 56 (3):302–14.
- Bailey, R. A., and P. Druilhet. 2014. Optimal cross-over designs for full interaction models. The Annals of Statistics 42 (6):2282–300. doi:10.1214/14-AOS1247.
- Bhowmik, A. 2013. Experimental Designs Involving Treatments Exhibiting Interference Effects. Unpublished Ph.D. diss., IARI, New Delhi.
- Bhowmik, A., S. Jaggi, C. Varghese, and E. Varghese. 2012. Block designs balanced for second order interference effects from neighboring experimental units. Statistics and applications. (New Series) 10 :1–12.
- Bhowmik, A., S. Jaggi, C. Varghese, and E. Varghese. 2013. Universally optimal second order neighbour designs. Model Assisted Statistics and Applications 8 :309–14.
- Bhowmik, A., S. Jaggi, C. Varghese, and E. Varghese. 2015. Optimal block designs with interference effects from neighboring units under a non additive model. Communications in Statistics – Theory and Methods 44 (10):2092–103. doi:10.1080/03610926.2013.766340.
- Bhowmik, A., S. Jaggi, E. Varghese, and C. Varghese. 2017. Optimal block designs with non additive mixed effects interference. Communications in Statistics – Theory and Methods 46 (24):12103–12. doi:10.1080/03610926.2017.1291978.
- Bose, M., and A. Dey. 2003. Some small and efficient cross-over designs under a non additive model. Utilitas Mathematica 63 :173–82.
- Bose, M., and A. Dey. 2006. Combined intra-inter unit analysis of crossover designs and related optimality results. Journal of the Indian Society of Agricultural Statistics 60 (2):144–50.
- Bose, M., and A. Dey. 2009. Optimal crossover designs. Singapore: World Scientific Publisher Co. Pvt. Ltd.
- Bose, M., and B. Mukherjee. 2000. Cross-over designs in the presence of higher order carry-overs. Australian & New Zealand Journal of Statistics 42 :235–44.
- Druilhet, P. 1999. Optimality of neighbour balanced designs. Journal of Statistical Planning & Inference 81 :141– 52. doi:10.1016/S0378-3758(99)00004-X.
- Druilhet, P. 2016. Efficient circular cross-over designs for models with interaction. In: mODa 11 – Advances in model-oriented design and analysis, eds. J. Kunert, C. H. Muller, and A. C. Atkinson, 87–94. Switzerland: Springer.
- Druilhet, P., and W. Tinsson. 2009. Optimal repeated measurement designs for a model with partial interactions. Biometrika 96 (3):677–90. doi:10.1093/biomet/asp034.
- Druilhet, P., and W. Tinsson. 2014. Optimal cross-over designs for total effects under a model with self and mixed carryover effects. Journal of Statistical Planning & Inference 154 :54–61. doi:10.1016/j.jspi.2013.07.006.
- Gupta, S., and R. Mukerjee. 1989. A calculus for factorial arrangements. New York: Springer-Verlag.
- Jaggi, S., D. Pateria, C. Varghese, E. Varghese, and A. Bhowmik. 2018. A note on circular neighbor balanced designs. Communication in Statistics-Simulation and Computation 47 :2896–905.. doi:10.1080/03610918.2017.1361980.
- Jaggi, S., C. Varghese, and V. K. Gupta. 2007. Optimal circular block designs for competition effects. Journal of Applied Statistics 34 (5):577–84. doi:10.1080/02664760701235089.
- Kempton, R. A. 1992. Interference in agricultural experiments. Proceeding of the 2nd Meeting of the Biometric Society, East, Central and Southern African Network, Harare, Zimbabwe, 1–19.
- Kempton, R. A., and G. Lockwood. 1984. Inter-plot competition in variety trials of field beans (Vicia faba L.). The Journal of Agricultural Science 103 :293–302. doi:10.1017/S0021859600047249.
- Kiefer, J. 1975. Construction and optimality of generalized Youden design. In A method of statistical design and linear models, ed. J. N. Srivastava, 333–353. Amsterdam, North–Holland: North-Holland Publishing Company.
- Kunert, J., and J. Stufken. 2008. Optimal crossover designs for two treatments in the presence of mixed and self carryover effects. Journal of the American Statistical Association 103 (484):1641–1647.
- Kurkjian, B., and M. Zelen. 1962. A calculus for factorial arrangements. The Annals of Mathematical Statistics 33 (2):600–19. doi:10.1214/aoms/1177704585.
- Meitei, K. K. S. 2010. Circular neighbour-balanced designs and one-sided circular neighbour balanced designs. Sankhya B 72 (2):175–88. doi:10.1007/s13571-011-0010-3.
- Mukerjee, R. 1980. Further results on the analysis of factorial experimants. Calcutta Statistical Association Bulletin 29 (1–2):1–26. doi:10.1177/0008068319800101.
- Park, D. K., M. Bose, W. I. Notz, and A. M. Dean. 2011. Efficient crossover designs in the presence of interactions between direct and carry-over treatment effects. Journal of Statistical Planning and Inference 141 (2):846–60. doi:10.1016/j.jspi.2010.08.005.
- Pateria, D. K., S. Jaggi, and C. Varghese. 2009. Self – neighboured strongly balanced block designs. Journal of Indian Statistical Association 47 (1):1–14.
- Pateria, D. K., S. Jaggi, and C. Varghese. 2011. Universally optimal circular neighbour balanced block designs under mixed effects model. Utilitas Mathematica 85 :33–43.
- Pearce, S. C. 1957. Experimenting with organisms as blocks. Biometrika 44 (1–2):141–9. doi:10.2307/2333246.
- Searle, S. R. 1971. Linear models. New York: Wiley.
- Sen, M. and R. Mukerjee. 1987. Optimal repeated measurements designs under interaction. Journal of Statistical Planning & Inference 17 :81–91.
- Sharma, V. K. 1977. Change-over designs with complete balance for first and second residual effects. Canadian Journal of Statistics 5 (1):121–32. doi:10.2307/3315089.
- Sinha, B. K., and R. Mukerjee. 1982. A note on the universal optimality criterion for full rank models. Journal of Statistical Planning and Inference 7 (1):97–100. doi:10.1016/0378-3758(82)90022-2.
- Tomar, J. S., S. Jaggi, and C. Varghese. 2005. On totally balanced block designs for competition effects. Journal of Applied Statistics 32 (1):87–97. doi:10.1080/0266476042000305177.