Some observations on the constructions of chemical balance weighing designs

Ratnakaram Nava Mohan; Bronisław Ceranka; Sanpei Kageyama

Discussiones Mathematicae Probability and Statistics (2001)

  • Volume: 21, Issue: 2, page 99-110
  • ISSN: 1509-9423

Abstract

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The construction of some optimum chemical balance weighing designs from affine μ-resolvable balanced incomplete block (BIB) designs are discussed in the light of a characterization theorem on the parameters of affine μ-resolvable BIB designs as given by Mohan and Kageyama (1982), for the sake of practical use of researchers who need some selective designs for the construction of chemical balance weighing designs.

How to cite

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Ratnakaram Nava Mohan, Bronisław Ceranka, and Sanpei Kageyama. "Some observations on the constructions of chemical balance weighing designs." Discussiones Mathematicae Probability and Statistics 21.2 (2001): 99-110. <http://eudml.org/doc/287640>.

@article{RatnakaramNavaMohan2001,
abstract = {The construction of some optimum chemical balance weighing designs from affine μ-resolvable balanced incomplete block (BIB) designs are discussed in the light of a characterization theorem on the parameters of affine μ-resolvable BIB designs as given by Mohan and Kageyama (1982), for the sake of practical use of researchers who need some selective designs for the construction of chemical balance weighing designs.},
author = {Ratnakaram Nava Mohan, Bronisław Ceranka, Sanpei Kageyama},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {ptimum chemical balance weighing design; BIB design; ARBIB design; μ-ARBIB design; resolvable design},
language = {eng},
number = {2},
pages = {99-110},
title = {Some observations on the constructions of chemical balance weighing designs},
url = {http://eudml.org/doc/287640},
volume = {21},
year = {2001},
}

TY - JOUR
AU - Ratnakaram Nava Mohan
AU - Bronisław Ceranka
AU - Sanpei Kageyama
TI - Some observations on the constructions of chemical balance weighing designs
JO - Discussiones Mathematicae Probability and Statistics
PY - 2001
VL - 21
IS - 2
SP - 99
EP - 110
AB - The construction of some optimum chemical balance weighing designs from affine μ-resolvable balanced incomplete block (BIB) designs are discussed in the light of a characterization theorem on the parameters of affine μ-resolvable BIB designs as given by Mohan and Kageyama (1982), for the sake of practical use of researchers who need some selective designs for the construction of chemical balance weighing designs.
LA - eng
KW - ptimum chemical balance weighing design; BIB design; ARBIB design; μ-ARBIB design; resolvable design
UR - http://eudml.org/doc/287640
ER -

References

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  1. [1] M. Bhaskararao, Weighing designs when n is odd, Ann. Math. Statist. 37 (1966), 1371-1381. Zbl0147.18907
  2. [2] R.C. Bose, A note on the resolvability of balanced incomplete block designs, Sankhya 6 (1942), 105-110. Zbl0060.31404
  3. [3] B. Ceranka and K. Katulska, A relation between BIB designs and chemical balance weighing designs, Statist. & Prob. Lett. 5 (1987), 339-341. Zbl0629.62078
  4. [4] A. Dey, On some chemical balance weighing designs, Austral. J. Statist. 13 (1970), 131-141. 
  5. [5] S. Kageyama and R.N. Mohan, Constructions of α-resolvable PBIB designs, Calcutta Statist. Assoc. Bull. 34 (1980), 221-224. Zbl0596.62073
  6. [6] S. Kageyama and R.N. Mohan, On μ-resolvable BIB designs, Discrete Math. 45 (1983), 113-122. Zbl0512.05006
  7. [7] S. Kageyama and G.M. Saha, Note on the construction of optimum chemical balance weighing designs, Ann. Inst. Statist. Math., Part A 35 (1983), 447-452. Zbl0553.62066
  8. [8] R.N. Mohan and S. Kageyama, On a characterization of affine μ-resolvable BIB designs, Utilitas Math. 22 (1982), 17-23. Zbl0501.62073
  9. [9] A.K. Nigam, A note on optimum chemical balance weighing designs, Austral. J. Statist. 16 (1974), 50-52. 
  10. [10] D. Raghavarao, Some optimum weighing deigns, Ann. Math. Statist. 30 (1959), 295-303. Zbl0097.13504
  11. [11] D. Raghavarao, Some aspects of weighing deigns, Ann. Math. Statist. 31, (1960), 878-884. Zbl0113.13301
  12. [12] D. Raghavarao, Constructions and Combinatorial Problems in Design of Experiments, Dover, New York 1988. 
  13. [13] G.M. Saha, A note on relation between incomplete block and weighing designs, Ann. Inst. Statist. Math. 27 (1975), 387-390. Zbl0351.05015

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