Biometrical Letters Vol. 56(2), 2019, pp. 215-238


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REMARKS ABOUT A CONSTRUCTION METHOD FOR D-OPTIMAL
CHEMICAL BALANCE WEIGHING DESIGNS


MaƂgorzata Graczyk, Malwina Janiszewska

Department of Mathematical and Statistical Methods, Poznan University of Life Sciences,
Wojska Polskiego 28, 60-637 Poznan, Poland, e-mail: malgorzata.graczyk@up.poznan.pl,
malwina.janiszewska@up.poznan.pl


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.


balanced bipartite weighing design, balanced incomplete block design, chemical balance weighing design, D-optimality, ternary balanced block design