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Some bounds for partially balanced block designs
Authors:Sanpei Kageyama
Institution:(1) Hiroshima University, Hiroshima, Japan
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.
Keywords:Primary 05B05  secondary 05B20  05B30  62K10  62K99
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