• Corpus ID: 38317250

# Some constructions of A-Optimum , Variance and Efficiency Balance Weighing Designs

@inproceedings{Awad2015SomeCO,
title={Some constructions of A-Optimum , Variance and Efficiency Balance Weighing Designs},
year={2015}
}
Some new construction methods of the optimum chemical balance weighing designs are proposed, which are based on the incidence matrices of the known balanced incomplete block designs, balanced bipartite block designs and ternary balanced block designs. Also the conditions under which the constructed chemical balance weighing designs become A-optimal are also been given.

## References

SHOWING 1-10 OF 33 REFERENCES
Some Construction Methods of A-Optimum Chemical Balance Weighing Designs
• Mathematics
• 2013
Some new construction methods of the optimum chemical balance weighing designs and pairwise efficiency and variance balanced designs are proposed, which are based on the incidence matrices of the
• SOME CONTRIBUTION IN THE CONSTRUCTION OF A-OPTIMUM CHEMICAL BALANCE WEIGHING DESIGNS
• Mathematics
• 2014
S ome new construction methods of the optimum chemical balance weighing designs and pairwise efficiency and variance balanced designs are proposed, which are based on the incidence matrices of the
Some Construction Methods of Optimum Chemical Balance Weighing Designs III
• Mathematics
• 2016
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
New Construction of Optimum Chemical Balance Weighing Designs
• Mathematics
• 1987
The incidence matrices of BIB designs for v treatments have been used to construct new optimum chemical balance weighing designs.
On Some Chemical Balance Weighing Designs
• A. Dey
• Mathematics, Materials Science
• 1971
Summary The present paper deals with certain chemical balance weighing designs. The incidence matrices of BIB designs and balanced ternary designs have been used to construct these designs.
On properties of efficiency-balanced designs
We consider a class of efficiency-balanced block designs which are design patterns for the analytical simplification of statistical analysis. This paper consists of eight sections which investigate
A-optimal chemical balance weighing design under certain condition
• Mathematics
The paper is studying the estimation problem of individual weights of $$p$$ objects using the design matrix $$\mathbf{X}$$ of the A-optimal chemical balance weighing design under the restriction