Kybernetika 47 no. 6, 902-908, 2011

Robustness optimal spring balance weighing designs for estimation total weight

Bronisław Ceranka and Małgorzata Graczyk

Abstract:

In this paper we develop the theory of spring balance weighing designs with non-positive correlated errors for that the lower bound of the variance of estimated total weight is attained.

Keywords:

robustness, spring balance weighing design, total weight

Classification:

62K05, 62K10

References:

  1. K. S. Banerjee: Weighing Designs for Chemistry, Medicine, Economics, Operations Research, Statistics. Marcel Dekker Inc., New York 1975.   CrossRef
  2. B. Ceranka and K. Katulska: Optimum singular spring balance weighing designs with non-homogeneity of the variances of errors for estimating the total weight. Austral. J. Statist. 28 (1986), 200-205.   CrossRef
  3. W. H. Clatworthy: Tables of two-associate-class partially balanced designs. NBS Appl. Math. 63 (1973).   CrossRef
  4. A. Dey and S. C. Gupta: Singular weighing designs and the estimation of total weight. Comm. Statist. Theory Methods 7 (1977), 289-295.   CrossRef
  5. M. Krzyśko and M. Skorzybut: Dysciminant analysis of multivariate repeated measures data with Kronecker product structured covariance matrices. Statist. Papers 50 (2009), 817-835.   CrossRef
  6. J. Masaro and C. S. Wong: Robustness of A-optimal designs. Linear Algebra Appl. 429 (2008), 1392-1408.   CrossRef
  7. F. Pukelsheim: Optimal Design of Experiment. John Wiley and Sons, New York 1993.   CrossRef
  8. D. Raghavarao: Constructions and Combinatorial Problems in designs of Experiments. John Wiley Inc., New York 1971.   CrossRef
  9. D. Raghavarao and L. V. Padgett: Block Designs, Analysis, Combinatorics and Applications. Series of Applied Mathematics 17, Word Scientific Publis\-hing Co. Pte. Ltd., 2005   CrossRef
  10. B. K. Sinha: Optimum spring balance weighing designs. In: Proc. All India Convention on Quality and Reliability. Indian Inst. Tech., Kharagpur 1972.   CrossRef
  11. K. R. Shah and B. K. Sinha: Theory of Optimal Designs. Springer-Verlag, Berlin 1989.   CrossRef