Chemical Balance Weighing Design with Different Variances of Errors
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The paper is studying the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number of times in which each object is weighed. We assume that errors are uncorrelated with different variances. The necessary and sufficient condition under which the lower bound of variance of each of the estimated weights is attained is given. For a new construction method of the optimum chemical balance weighing design we use the incidence matrices of the balanced incomplete block designs and the ternary balanced block designs.
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- Chemical Balance Weighing Design with Different Variances of Errors
- Book Title
- Innovations in Classification, Data Science, and Information Systems
- Book Subtitle
- Proceedings of the 27th Annual Conference of the Gesellschaft für Klassifikation e.V., Brandenburg University of Technology, Cottbus, March 12–14, 2003
- Book Part
- Part II
- pp 111-119
- Print ISBN
- Online ISBN
- Series Title
- Studies in Classification, Data Analysis, and Knowledge Organization
- Series ISSN
- Springer Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin · Heidelberg
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- Editor Affiliations
- 19. Institute of Business Administration and Economics, Brandenburg University of Technology Cottbus
- 20. Department of Medical Biometrics Charité Virchow-Klinikum, Humboldt University Berlin
- Author Affiliations
- 21. Department of Mathematical and Statistical Methods, Agricultural University of Poznań, ul. Wojska Polskiego 28, 60-637, Poznań, Poland
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