Some observations on the constructions of chemical balance weighing designs

• Autorzy: Ratnakaram Nava Mohan , Bronisław Ceranka , Sanpei Kageyama
• 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.

Słowa kluczowe

EN

ptimum chemical balance weighing design; BIB design; ARBIB design; μ-ARBIB design

Kategorie tematyczne

• 62K10: Block designs
• 05B05: Block designs

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2001
• Tom: 21
• Numer: 2
• Strony: 99-110

Daty

wydano

2001

otrzymano

2001-11-10

Twórcy

autor

Ratnakaram Nava Mohan

• D. A. R. Department of Mathematics, College, Nuzvid-521201, A.P., India

autor

Bronisław Ceranka

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

autor

Sanpei Kageyama

• 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.

Identyfikatory

DOI

10.7151/dmps.1023