Vol: 38 Page: 95

Authors:
Bronisław Ceranka
Małgorzata Graczyk

Title:
 Some notes about chemical balance weighing design for p=v+1 objects based on balanced block designs

Language: English

Keywords:
balanced bipartite weighing design
balanced incomplete block design
chemical balance weighing design

Summary:
The problem of estimation of individual (weights) measurements of p objects using n measurements operations according to the model of the chemical balance weighing design is presented. Assuming that not all objects in each measurement are included, the optimality conditions and the construction methods of the design matrix X of the optimum chemical balance weighing design for p = v + 1 objects are given. The construction is based on the incidence matrices of the balanced incomplete block designs and the balanced bipartite weighing designs for v treatments.

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