Vol: 42 Page: 51

Authors:
Bronisław Ceranka
Małgorzata Graczyk

Title:
 Robustness of optimal chemical balance weighing designs with correlated errors

Language: English

Keywords:
balanced block design
optimal chemical balance weighing design

Summary:
The estimation problem of individual weights of objects using the chemical balance weighing design under the restriction on the number of times in which each object is weighted is considered. The additional assumption is that the errors have the same variances and they are equal correlated. The conditions under which the existence of an optimal chemical balance weighing design for p=v objects implies the existence of an optimal chemical balance weighing design for p=v+1 objects are given. Under these assumptions a new construction methods for the design matrix of the optimal chemical balance weighing design based on the incidence matrices of balanced block designs are given.

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