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On the determination and construction of E-optimal block designs in the presence of linear trends
Affiliation:1. School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran;2. School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran;3. Systems Engineering Department, École de technologie supérieure (ETS), Montreal, Canada
Abstract:In this paper we consider experimental situations in which v treatments are to be applied to experimental units arranged in b blocks of size k = 3 and where there may be unknown or uncontrollable linear trends (possibly different) within blocks. Methods are given here for determining and constructing E-optimal designs for such situations.
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