On bounds for the efficiency of block designs for comparing test treatments with a control |
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| Institution: | 1. Independent Researcher, Hyderabad, Telangana, India;2. Department of Horticulture, College of Agricultural and Life Sciences, University of Wisconsin-Madison, Madison, WI, United States;3. Rete Semi Rurali, Scandicci (FI), Italy;4. Department of Plant Breeding, Swedish University of Agricultural Sciences, Alnarp, Sweden;1. ICAR-National Bureau of Soil Survey and Land Use Planning, Regional Centre, Hebbal, Bangalore 560024, India;2. ICAR-National Bureau of Soil Survey and Land Use Planning, Amaravati Road, Nagpur 10, India |
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| Abstract: | In this paper we study the class of augmented balanced incomplete block designs, which are used for comparing a control treatment with a set of test treatments. Under the A- criterion we establish a condition that enables us to determine the most efficient augmented design and we suggest some methods to compute a lower bound for the efficiency of these designs. For 3≤k≤10, v≥k, we list the parameters of the most efficient designs with a lower bound for their efficiency or, if known, mention their optimality. |
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