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Robustness of Balanced Incomplete Block Designs

Peter W. M. John

The Annals of Statistics · 1976 · Volume 4 · Issue 5

DOI: 10.1214/aos/1176343593

Abstract

When a variety is lost or omitted from a balanced incomplete block design, the residual design is not, in general, balanced. A lower bound is obtained for the overall efficiency in this case and it is shown that the overall loss of efficiency even in the unbalanced case is small.

Keywords

05B05, 62K05, 62K10, BIB designs, incomplete block design, resistant BIB designs

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