Some D-optimal chemical balance weighing designs: theory and examples-Reference-Cited by-同舟云学术

Some D-optimal chemical balance weighing designs: theory and examples

Published:2017-12-13 Issue:2 Volume:54 Page:137-154
ISSN:1896-3811
Container-title:Biometrical Letters
language:en
Short-container-title:

Author:

Ceranka Bronisław¹,Graczyk Małgorzata¹

Affiliation:

1. Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Wojska Polskiego 28, 60-637 Poznań , Poland

Abstract

Summary In this paper we study a certain kind of experimental designs called chemical balance weighing designs. We consider issues with regard to determining optimality conditions. We give new classes of designs in which we are able to determine an optimal design. Moreover, examples are given for the presented cases.

Publisher

Walter de Gruyter GmbH

Reference17 articles.

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

2. Bulutoglu D.A., Ryan K.J. (2009): D-optimal and near D-optimal 2k fractional factorial designs of resolution V, Journal of Statistical Planning and Inference, 139: 16-22.

3. 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.

4. Ceranka B., Graczyk M. (2014b): Construction of the regular D-optimal weighing designs with non-negative correlated errors. Colloquium Biometricum 44: 43-56.

5. Ceranka B., Graczyk M. (2015): Relations between ternary designs and D-optimal weighing designs with non-negative correlated errors. Colloquium Biometricum 145: 23-34.

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1. D-optimal chemical balance weighing designs with diagonal covariance matrix of experimental errors;Biometrical Letters;2020-06-01

2. Remarks about a construction method for D-optimal chemical balance weighing designs;Biometrical Letters;2019-12-01