Some bounds for partially balanced block designs |
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Authors: | Sanpei Kageyama |
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Institution: | (1) Hiroshima University, Hiroshima, Japan |
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Abstract: | Bounds on eigenvalues of theC-matrix for a partially balanced block (PBB) design are given together with some bounds on the number of blocks. Furthermore,
a certain equiblock-sized PBB design is characterized. These results contain, as special cases, the known results for variance-balanced
block designs and so on. |
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Keywords: | Primary 05B05 secondary 05B20 05B30 62K10 62K99 |
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