Some sufficient conditions for establishing (M,S)-optimality |
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Authors: | Michael Jacroux Justus Seely |
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Institution: | Department of Mathematics University of Cincinnati, Cincinnati, OH 45221, U.S.A.;Department of Statistics, Oregon State University, Corvallis, OR 97331, U.S.A. |
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Abstract: | Two sufficient conditions are given for an incomplete block design to be (M,S- optimal. For binary designs the conditions are (i) that the elements in each row, excluding the diagonal element, of the association matrix differ by at most one, and (ii) that the off-diagonal elements of the block characteristic matrix differ by at most one. It is also shown how the conditions can be utilized for nonbinary designs and that for blocks of size two the sufficient condition in terms of the association matrix can be attained. |
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Keywords: | Primary 62K05 Secondary 62K10 |
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