Optimal incomplete-block designs with low replication : a unified approach using graphs
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An incomplete-block design defines both a concurrence graph and a Levi graph. Properties of either graph can be used to compare designs with respect to D-optimality and with respect to A-optimality. In this paper we show that optimality of the design implies strong conditions on connectivity properties of the graph, and use this to classify the optimal designs when the number of observational units is close to minimal.
Bailey , R A & Sajjad , A 2021 , ' Optimal incomplete-block designs with low replication : a unified approach using graphs ' , Journal of Statistical Theory and Practice , vol. 15 , no. 4 , 84 . https://doi.org/10.1007/s42519-021-00215-x
Journal of Statistical Theory and Practice
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