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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Kageyama, S. Some bounds for partially balanced block designs. Ann Inst Stat Math 33, 141–153 (1981). https://doi.org/10.1007/BF02480928
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DOI: https://doi.org/10.1007/BF02480928