Some results on resolvable incomplete block designs |
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Authors: | Email author" target="_blank">Minqian?LiuEmail author Kaitai?Fang |
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Institution: | 1. Department of Statistics, Nankai University, Tianjin,300071, China 2. Department of Mathematics, Hong Kong Baptist University, Hong Kong, China |
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Abstract: | This paper is concerned with the uniformity of a certain kind of resolvable incomplete block (RIB for simplicity) design which is called the PRIB design here. A sufficient and necessary condition is obtained, under which a PRIB design is the most uniform in the sense of a discrete discrepancy measure, and the uniform PRIB design is shown to be connected. A construction method for such designs via a kind of U-type designs is proposed, and an existence result of these designs is given. This method sets up an important bridge between PRIB designs and U-type designs. |
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Keywords: | block design discrepancy orthogonal array supersaturated design U-type design |
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