Download PDF - A note on the relations between two ternary balanced block designs and chemical balance weighing designsAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

A note on the relations between two ternary balanced block designs and chemical balance weighing designs

Authors 1, 1

Affiliations

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

Abstract

The paper studied the problem of estimating of the weights of p objects in n weighings using a chemical balance weighing design under the restriction on the number of objects which can be placed on the right and left pans, respectively. Conditions under which the estimated weights are uncorrelated are given. The incidence matrices of two ternary balanced block designs which are used to construct chemical balance weighing designs satisfying these conditions are considered.

Keywords

ENG
chemical balance weighing design, ternary balanced block desig

Bibliography

  1. K.S. Banerjee, Weighing Designs for Chemistry, Medicine, Economics, Operations Research, Statistics, Marcel Dekker Inc., New York 1975.
  2. B. Ceranka and K. Katulska, On construction of optimum chemical balance weighing designs, J. Indian Statist. Ass. 26 (1988a), 27-30.
  3. B. Ceranka and K. Katulska, On some optimum chemical balance weighing designs for v + 1 objects, J. Japan Statist. Soc. 18 (1988b), 47-50.
  4. B. Ceranka and K. Katulska, Chemical balance weighing designs under the restriction on the number of objects placed on the pans, Tatra Mountains Mathematical Publications 17 (1999), 141-148.
  5. B. Ceranka, K. Katulska and D. Mizera, The application of ternary balanced block design to chemical balanced weighing designs, Discuss. Math. - Algebra and Stochastic Methods 18 (1998), 179-185.
  6. A. Dey, On some chemical balance weighing designs, Austral. J. Statist. 13 (1971), 137-141.
  7. S. Kageyama and G.M. Saha, Note on the construction of optimum chemical balance weighing designs, Ann. Inst. Statist. Math. 35 A (1983), 447-452.
  8. D. Raghavararao, Constructions and Combinatorial Problems in Designs of Experiments, John Wiley Inc., New York 1971.
  9. G.M. Saha, A note on relations between incomplete block and weighingdesigns, Ann. Inst. Statist. Math. 27 (1975), 387-390.
  10. G.M. Saha and S. Kageyama, Balanced arrays and weighing designs, Austral. J. Statist. 26 (1984), 119-124.
  11. M.N. Swamy, Use of balanced bipartite weighing designs as chemical balance designs, Commun. Statist. - Theor. Meth. 11 (1982), 769-785.
Discussiones Mathematicae Probability and Statistics
2001/21/1
Export to PBN, Opens in new tab
Pages:
5-10
Main language of publication
English
Received
1999-05-16
Published
2001

DOI: 10.7151/dmps.1016

Exact and natural sciences