Vol: 45 Page: 23

Authors:
Bronisław Ceranka
Małgorzata Graczyk

Title:
 Relations between ternary designs and D-optimal weighing designs with non-negative correlated errors

Language: English

Keywords:
chemical balance weighing design
D-optimality
ternary balanced block design

Summary:
This work was intended as an attempt at motivating to increase the list of possible classes in that we are able to construct optimal plans of experiments. Here, we consider the criterion of D-optimality. We introduce the relations between ternary balanced block designs and chemical balance weighing designs. Based on these relations we propose to construct the design matrix of the regular D-optimal chemical balance weighing design on the base of the set of the incidence matrices of the ternary balanced block designs. We consider these designs under basic assumption that the errors are equally correlated and they have the same variances.

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