Abstract
A general solution is derived to the problem of characterizing block designs that are simultaneously pairwise-balanced and variance-balanced. Applications of the characterizations obtained to some problems concerned with the local resistance of BIB designs are presented.
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This research was begun while the second author was visiting the Department of Mathematical and Statistical Methods, Academy of Agriculture in Poznań, Poland.
The work of this author was partially supported by the Polish Academy of Sciences Grant No. CPBP 01.01.2/2.
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Baksalary, J.K., Puri, P.D. Pairwise-balanced, variance-balanced and resistant incomplete block designs revisited. Ann Inst Stat Math 42, 163–171 (1990). https://doi.org/10.1007/BF00050787
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DOI: https://doi.org/10.1007/BF00050787