Abstract
In this chapter, optimum covariate designs (OCDs) have been considered for the set-up of the balanced treatment incomplete block (BTIB) designs, which form an important class of test-control designs. It is seen that the OCDs depend much on the methods of construction of the basic BTIB designs. The presentation in this chapter closely follows the work of Dutta, Das, J Stat Plan Inference 143:1203–1214, 2013, Dutta and Das (2013) who considered the problem of construction of OCDs on the series of BTIB designs mainly described in Bechhofer, Tamhane, Technometrics 23:45–57, 1981, Bechhofer and Tamhane (1981) and Das, Dey, Kageyama, Sinha, Australas J Combinatorics 32:243–252, 2005, Das et al. (2005).
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References
Bechhofer RE, Tamhane AC (1981) Incomplete block designs for comparing treatments with a control: general theory. Technometrics 23:45–57
Clatworthy WH (1973) Tables of two-associate class partially balanced designs. National Bureau of Standards, US Department of Commerce
Das A, Dey A, Kageyama S, Sinha K (2005) A-efficient balanced treatment incomplete block designs. Aust J Comb 32:243–252
Das K, Mandal NK, Sinha Bikas K (2003) Optimal experimental designs for models with covariates. J Stat Plan Inference 115:273–285
Dutta G, Das P (2013) Optimum designs for estimation of regression parameters in a balanced treatment incomplete block design set-up. J Stat Plan Inference 143:1203–1214
Hedayat AS, Majumdar D (1984) A-optimal incomplete block designs for control-test treatment comparisons. Technometrics 26:363–370
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Das, P., Dutta, G., Mandal, N.K., Sinha, B.K. (2015). OCDs in Balanced Treatment Incomplete Block Design Set-Up. In: Optimal Covariate Designs. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2461-7_7
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DOI: https://doi.org/10.1007/978-81-322-2461-7_7
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