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On a robustness property of PBIBD
Authors:S Ghosh  SB Rao  NM Singhi
Institution:Indian Statistical Institute, Calcutta, India;Tata Institute of Fundamental Research, Bombay, India
Abstract:In this paper we study a robustness property of partially balanced incomplete block designs based on association schemes with m classes (PBIBD(m)) against the unavailability of data in the sense that, when any t (a positive integer) observations are unavailable the design remains connected w.r.t. treatment. We characterize the robustness property of PBIBD(m) completely for m=2 and partially for m=3.
Keywords:Primary and Secondary 62K10  06B05  Association graphs  Partially balanced incomplete block design  Robust designs  Unavailable data
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