Biometrical Letters Vol. 57(1), 2020, pp. 37-52


Show full-size cover
D-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS
WITH DIAGONAL COVARIANCE MATRIX OF EXPERIMENTAL ERRORS


Małgorzata Graczyk, Bronisław Ceranka

Department of Mathematical and Statistical Methods, Poznań University of Life Sciences,
Wojska Polskiego 28, 60-638 Poznań, e-mails: malgorzata.graczyk@up.poznan.pl,
bronislaw.ceranka@up.poznan.pl


In this paper, some problems related to determining experimental plans satisfying the criterion of D-optimality are presented. Moreover, the optimality conditions and relations between the parameters of the chemical balance weighing designs are described, and some construction examples are given.


agricultural experiment, chemical balance weighing design, diagonal covariance matrix, D-optimality