Vol: 40 Page: 165

Authors:
Krystyna Katulska
Ewelina Rychlińska

Title:
 On regular E-optimality of spring balance weighing designs

Language: English

Keywords:
balanced incomplete block design
E-optimality
spring balance weighing design

Summary:
The paper deals with the estimation problem of individual weights of objects in spring ba-lance weighing design satisfying the E-optimality criterion. It is assumed that we have several kinds of spring balances with different precisions. In this case the lower bound for the maximum eigenvalue of the inverse of the information matrix of estimators is obtained. The conditions for this lower bound to be attained are given. Moreover, the incidence matrices of balanced incomplete block designs are used to construct regular E-optimal spring balance weighing designs.

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