Technique of Constructing Optimum Chemical Balance Weighing Designs Using Symmetric Balanced Incomplete Block Designs

Authors

  • Rashmi Awad School of Statistics, Devi Ahilya University, Indore, India.
  • Shakti Banerjee School of Statistics, Devi Ahilya University, Indore, India.

DOI:

https://doi.org/10.9734/bpi/rumcs/v3/7832E

Keywords:

Balanced incomplete block design, symmetric balanced incomplete block design, ternary balanced block design, variance balanced design, efficiency balanced design, nested balanced incomplete block design, weighing design, chemical balance weighing design, optimum chemical balance weighing design

Abstract

Methods of constructing the optimum chemical balance weighing designs from symmetric balanced incomplete block designs are proposed with illustration. As a by-product pairwise efficiency and variance balanced designs are also obtained. In this research, we have significantly shown that the obtained designs are pairwise balanced as well as efficiency balanced. The only limitation of this research is that the obtained pairwise balanced designs are all have large number of replications.

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Published

2024-04-03

How to Cite

Rashmi Awad, & Shakti Banerjee. (2024). Technique of Constructing Optimum Chemical Balance Weighing Designs Using Symmetric Balanced Incomplete Block Designs. Research Updates in Mathematics and Computer Science Vol. 3, 9–24. https://doi.org/10.9734/bpi/rumcs/v3/7832E

Issue

Research Updates in Mathematics and Computer Science Vol. 3

Section

Chapters