Biometrical Letters Vol. 50(2), 2013, pp. 127-136


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RELATIONS BETWEEN REGULAR A-OPTIMAL CHEMICAL
AND SPRING BALANCE WEIGHING DESIGNS
WITH DIAGONAL COVARIANCE MATRIX OF ERRORS


Bronisław Ceranka, Małgorzata Graczyk

Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Wojska Polskiego 28, 60-637 Poznań, Poland, e-mail: bronicer@up.poznan.pl, magra@up.poznan.pl


In this paper, we study the relationships between regular A-optimal spring balance weighing designs and regular A-optimal chemical balance weighing designs. We give the basic relation between these designs in the case where the errors are uncorrelated and they have different variances. We give some examples of methods of construction of such designs.


A-optimal design, chemical balance weighing design, spring balance weighing design