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Balanced arrays and weighing designs. (English) Zbl 0599.62089
A. Dey [ibid. 13, 137-141 (1971; Zbl 0249.62080)], the first author [Ann. Inst. Stat. Math. 27, 387-390 (1975; Zbl 0351.05015)] and the authors [ibid. 35, 447-452 (1983; Zbl 0553.62066)] and others have shown how optimum chemical balance weighing designs can be constructed from the incidence matrices of balanced incomplete block (BIB) designs.
In this paper, it is shown that weighing designs can be constructed from some suitable chosen two-symbol balanced arrays of strength two, which need not always be incidence matrices of BIB designs. The findings lead us to construct new optimum chemical balance weighing designs from incidence matrices of BIB designs.

MSC:
62K05 Optimal statistical designs
62K10 Statistical block designs
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