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2001 | 21 | 2 | 99-110
Tytuł artykułu

Some observations on the constructions of chemical balance weighing designs

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Tom
21
Numer
2
Strony
99-110
Opis fizyczny
Daty
wydano
2001
otrzymano
2001-11-10
Twórcy
  • D. A. R. Department of Mathematics, College, Nuzvid-521201, A.P., India
  • Department of Mathematical and Statistical Methods, Agricultural University of Poznań, Wojska Polskiego 28, 60-637 Poznań, Poland
  • Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima 739-8524, Japan
Bibliografia
  • [1] M. Bhaskararao, Weighing designs when n is odd, Ann. Math. Statist. 37 (1966), 1371-1381.
  • [2] R.C. Bose, A note on the resolvability of balanced incomplete block designs, Sankhya 6 (1942), 105-110.
  • [3] B. Ceranka and K. Katulska, A relation between BIB designs and chemical balance weighing designs, Statist. & Prob. Lett. 5 (1987), 339-341.
  • [4] A. Dey, On some chemical balance weighing designs, Austral. J. Statist. 13 (1970), 131-141.
  • [5] S. Kageyama and R.N. Mohan, Constructions of α-resolvable PBIB designs, Calcutta Statist. Assoc. Bull. 34 (1980), 221-224.
  • [6] S. Kageyama and R.N. Mohan, On μ-resolvable BIB designs, Discrete Math. 45 (1983), 113-122.
  • [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.
  • [8] R.N. Mohan and S. Kageyama, On a characterization of affine μ-resolvable BIB designs, Utilitas Math. 22 (1982), 17-23.
  • [9] A.K. Nigam, A note on optimum chemical balance weighing designs, Austral. J. Statist. 16 (1974), 50-52.
  • [10] D. Raghavarao, Some optimum weighing deigns, Ann. Math. Statist. 30 (1959), 295-303.
  • [11] D. Raghavarao, Some aspects of weighing deigns, Ann. Math. Statist. 31, (1960), 878-884.
  • [12] D. Raghavarao, Constructions and Combinatorial Problems in Design of Experiments, Dover, New York 1988.
  • [13] G.M. Saha, A note on relation between incomplete block and weighing designs, Ann. Inst. Statist. Math. 27 (1975), 387-390.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1023
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