D-optimal chemical balance weighing designs with diagonal covariance matrix of experimental errors

Author:

Graczyk Małgorzata1,Ceranka Bronisław1

Affiliation:

1. Department of Mathematical and Statistical Methods , Poznań University of Life Sciences , Wojska Polskiego 28, 60-638 Poznań

Abstract

Summary 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.

Publisher

Walter de Gruyter GmbH

Reference20 articles.

1. Banerjee K.S. (1975): Weighing Designs For Chemistry, Medicine, Economics, Operations Research, Statistics. Marcel Dekker Inc., New York.

2. Ceranka B., Graczyk M. (2014a): The problem of D–optimality in some experimental designs. International Journal of Mathematics and Computer Application Research 4: 11-18.

3. Ceranka B., Graczyk M. (2014b): Construction of the regular D-optimal weighing designs with non-negative correlated errors. Colloquium Biometricum 44: 43-56.10.1080/03610926.2013.826365

4. Ceranka B., Graczyk M. (2015): Relations between ternary designs and D-optimal weighing designs with non-negative correlated errors. Colloquium Biometricum 45: 23-34.

5. Ceranka B., Graczyk M. (2017): Some D-optimal chemical balance weighing designs: theory and examples. Biometrical Letters 54(2): 137-154.10.1515/bile-2017-0008

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