Improved conditions for the robustness of binary block designs against the loss of whole blocks |
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| Authors: | JD Godolphin HR Warren |
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| Institution: | a Department of Mathematics, University of Surrey, Guildford, Surrey GU2 7XH, UK
b Department of NCDE, London School of Hygiene and Tropical Medicine, London WC1E 7HT, UK |
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| Abstract: | Several authors have investigated conditions for a binary block design, D, to be maximally robust such that every eventual design obtained from D by eliminating rυ]−1 blocks is connected, where rυ] is the smallest treatment replication. Four new results for the maximal robustness of D with superior properties are given. An extension of these results to widen the assessment of robustness of the planned design is also presented. |
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| Keywords: | Connectivity Estimability Incomplete block design Information matrix |
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