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Recent developments in D-optimal designs
Authors:B. Ceranka
Affiliation:Department of Mathematical and Statistical Methods, Poznan University of Life Sciences, Wojska Polskiego 28, Poznań, Poland
Abstract:
In the paper, some issues concerned with the determining spring balance weighing designs satisfying the criterion of D-optimality under the assumption measurement errors are uncorrelated and they have the same variances are discussed. In addition, highly D-efficient spring balance weighing designs are also considered. Some conditions under which any spring balance weighing design is regular D-optimal or highly D-efficient are proved. What is more, new construction methods of regular D-optimal and highly D-efficient spring balance weighing designs are presented.
Keywords:Balanced incomplete block design  D-efficiency  D-optimality  Partially balanced incomplete block design  Spring balance weighing design.
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