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Block designs robust against the presence of positional effects
Published in Taylor and Francis Inc.
Volume: 46
Issue: 5
Pages: 2290 - 2298
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. © 2017 Taylor & Francis Group, LLC.
About the journal
JournalData powered by TypesetCommunications in Statistics - Theory and Methods
PublisherData powered by TypesetTaylor and Francis Inc.