Listy Biometryczne – Biometrical Letters vol. 39(2), 2002 pp.71-84
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OPTIMUM CHEMICAL BALANCE WEIGHING DESIGNS BASED ON BALANCED BIPARTITE BLOCK DESIGNS Bronisław Ceranka, Małgorzata Graczyk Department of Mathematical and Statistical Methods, Agricultural University Wojska Polskiego 28, 60-637 Poznań, Poland bronicer.@au.poznan.pl, magra@au.poznan.pl |
The paper is studying the problem of estimating individual weights of objects, using a chemical balance weighing design under the restriction on the number of times in which each object is weighed. A lower bound for the variance of each of the estimated weights from this chemical balance weighing design is obtained and a necessary and sufficient condition for this lower bound to be attained is given. The incidence matrices of balanced bipartite block designs are used to construct the design matrix of chemical balance weighing designs under the restriction on the number in which each object is weighed.
chemical balanced weighing design, balanced bipartite block design.
