Discussiones Mathematicae Probability and Statistics 21(1) (2001) 5-10

Katarzyna Ambroży and Bronisław Ceranka

*Department of Mathematical and Statistical Methods
Agricultural University of Poznań
Wojska Polskiego 28, 60-637 Poznań, Poland*

The paper studied the problem of estimating of the weights of p objects in n weighings using a chemical balance weighing design under the restriction on the number of objects which can be placed on the right and left pans, respectively. Conditions under which the estimated weights are uncorrelated are given. The incidence matrices of two ternary balanced block designs which are used to construct chemical balance weighing designs satisfying these conditions are considered.

**Keywords:** chemical balance weighing design, ternary balanced block design.

**2000 Mathematics Subject Classification:** 62K15.

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Received 16 May 1999