On the determination and construction of optimal designs for comparing a set of test treatments with a set of controls in the presence of a linear trend |
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Institution: | 1. Faculty of Industrial Engineering and Management, Technion - Israel Institute of Technology, Haifa, Israel;2. Department of Statistics, University of Haifa, Haifa, Israel |
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Abstract: | In this paper we consider the problem of constructing optimal designs for experimental situations where c controls are to be compared to t test treatments and the treatments are to be applied to experimental units occurring in a linear array and where there may be an unknown linear trend. Methods are given for determining and constructing optimal designs for such situations. |
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