Block designs robust against the presence of positional effects

N. K. Mandal

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 5, 2290-2298

Abstract: The problem considered is to find optimum designs for treatment effects in a block design (BD) setup, when positional effects are also present besides treatment and block effects, but they are ignored while formulating the model. In the class of symmetric balanced incomplete block designs, the Youden square design is shown to be optimal in the sense of minimizing the bias term in the mean squared error (MSE) of the best linear unbiased estimators of the full set of orthonormal treatment contrasts, irrespective of the value of the positional effects.

Date: 2017
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DOI: 10.1080/03610926.2015.1041982

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