No abstract

No abstract

The problems linked with an A-optimal spring balance weighing design with correlated errors are discussed. The topic is focus on the determining the lowest bound of the trace of inverse information matrix in a special class of design matrices. The constructing method of the optimal design, based on the incidence matrices of balanced incomplete block designs, is presented.

The paper deals with the problem of determining the chemical balance weighing designs satisfying the criterion of D-optimality under assumption that the measurement errors are equal correlated and they have the same variances. The existence conditions and the form of the optimal design are given. Moreover, some construction methods of the design matrices based on the incidence matrices of the balanced incomplete block designs and ternary balanced block designs are presented. Any example of construction is given.

No abstract