ArticleOriginal scientific text
Title
Optimum chemical balance weighing designs under the restriction on weighings
Authors 1, 1
Affiliations
- Department of Mathematical and Statistical Methods, Agricultural University of Poznań, Wojska Polskiego 28, 60-637 Poznań, Poland
Abstract
The paper deals with the problem of estimating individual weights of objects, using a chemical balance weighing design under the restriction on the number 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 matrix of ternary balanced block design is used to construct optimum chemical balance weighing design under the restriction on the number in which each object is weighed.
Keywords
chemical balance weighing design, ternary balanced block design
Bibliography
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Pages:
111-120
Main language of publication
English
Received
2001-12-12
Published
2001
DOI: 10.7151/dmps.1024
Exact and natural sciences