<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper presents some constructions of regular D-optimal weighing designs based on the incidence matrices of a balanced incomplete block design, balanced bipartite weighing design and ternary balanced block design. We determine optimality conditions and relations between the parameters of the design, and give an example.</p></abstract>

This paper presents some constructions of regular D-optimal weighing designs based on the incidence matrices of a balanced incomplete block design, balanced bipartite weighing design and ternary balanced block design. We determine optimality conditions and relations between the parameters of the design, and give an example.

Remarks about a construction method for D-optimal chemical balance weighing designs

Department of Mathematical and Statistical Methods

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper presents some constructions of regular D-optimal weighing designs based on the incidence matrices of a balanced incomplete block design, balanced...

Remarks about a construction method for D-optimal chemical balance weighing designs

Publié en ligne: 16 déc. 2019

Pages: 215 - 238

DOI: https://doi.org/10.2478/bile-2019-0012

Mots clés
Key words and phrases: balanced bipartite weighing design, balanced incomplete block design, chemical balance weighing design, D-optimality, ternary balanced block design

© 2019 Małgorzata Graczyk et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Remarks about a construction method for D-optimal chemical balance weighing designs

Publié en ligne: 16 déc. 2019

Pages: 215 - 238

DOI: https://doi.org/10.2478/bile-2019-0012

Mots clésKey words and phrases: balanced bipartite weighing design, balanced incomplete block design, chemical balance weighing design, D-optimality, ternary balanced block design

© 2019 Małgorzata Graczyk et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Key words and phrases: balanced bipartite weighing design, balanced incomplete block design, chemical balance weighing design, D-optimality, ternary balanced block design