On certain A-optimal chemical balance weighing designs
The estimation problem of individual weights of objects in the chemical balance weighing design using the criterion of A-optimality is studied. It is assumed that errors are correlated and have the same variances. The lower bound of the trace of the variance matrix of estimators is obtained and the necessary and sufficient conditions for this lower bound to be attained are proved. Some construction methods are given. (C) 2006 Elsevier B.V. All rights reserved.
a-optimal chemical balance weighing design