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Chemical balance Weighing designs under the restriction on the number of objects placed on the pans. (English) Zbl 0988.62047
The estimation of the weights of $$p$$ objects in $$n$$ weighings using chemical balance weighing designs is considered under the restriction $$k_1+k_2<p$$, where $$k_1$$, $$k_2$$ are the numbers of objects on the right and left pans. Three theorems are presented giving sufficient conditions on balanced bipartite block designs to ensure that the estimators of the weights are uncorrelated. A general reference is K.S. Banerjee [Weighing designs. For chemistry, medicine, economics, operations research, statistics. (1975; Zbl 0334.62030)].

##### MSC:
 62K10 Statistical block designs 62P99 Applications of statistics