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SIAM Journal on Algebraic Discrete Methods, 1985
This paper deals with obtaining optimum designs for weighing n objects in N weighings (N\(\geq n)\) on a chemical balance. For sufficiently large N satisfying \(N\equiv 2\) or 3 (mod 4), designs are given which are shown to be optimal with regards to a large class of criteria (which includes A as well as D criteria).
Cheng, Ching-Shui +2 more
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This paper deals with obtaining optimum designs for weighing n objects in N weighings (N\(\geq n)\) on a chemical balance. For sufficiently large N satisfying \(N\equiv 2\) or 3 (mod 4), designs are given which are shown to be optimal with regards to a large class of criteria (which includes A as well as D criteria).
Cheng, Ching-Shui +2 more
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BALANCED ARRAYS AND WEIGHING DESIGNS
Australian Journal of Statistics, 1984SummaryDey (19711, Saha (1975), Kageyama & Saha (1983) and others have shown how optimum chemical balance weighing designs can be constructed from the incidence matrices of balanced incomplete block (BIB) designs. In this paper, it is shown that weighing designs can be constructed from some suitably chosen two‐symbol balanced arrays of strength two,
Saha, G. M., Kageyama, Sanpei
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Weighing scales : design and choices
The Indian Journal of Pediatrics, 1988This review discusses the use of weighing scales in India that have been provided by UNICEF. Evaluation of each type of scale covers criteria of scale design scale acceptability scale accuracy scale operator error potential and general economic considerations.
J O, Burns, J E, Rohde
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Optimum chemical balance weighing designs under the restriction on weighings
Discussiones Mathematicae Probability and Statistics, 2001The problem addressed here is concerned with estimating individual weights of objects by using a chemical balance weighing design under the constraint on the number in which each object is weighed. The model for a chemical balance design is \(y(n\times 1)= x(n\times p)w(p\times 1)+ e(n\times 1)\), when \(y\) is a vector of observations, \(x\) is the ...
Ceranka, Bronisław +1 more
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Journal of Statistical Planning and Inference, 1986
In this paper we consider the problem of weighing n objects in N weighings (N\(\geq n)\) on a chemical balance. A design is said to be MV- optimal within the class of designs considered if it minimises the maximum diagonal element of the inverse of the information matrix.
Sathe, Y. S., Shenoy, R. G.
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In this paper we consider the problem of weighing n objects in N weighings (N\(\geq n)\) on a chemical balance. A design is said to be MV- optimal within the class of designs considered if it minimises the maximum diagonal element of the inverse of the information matrix.
Sathe, Y. S., Shenoy, R. G.
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Optimal weighing designs: approximate theory
Statistics, 1988Approximate theory employing FBECHET derivative is utilized to derive optimal weighing designs under D- and A-optimality criteria. Both spring and chemical balance designs, without and with restriction on the number of objects that may be includ¬ed in a weighing, are considered.
S. Huda, Rahul Mukerjee
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An application of multivarilate weighing designs
Communications in Statistics, 1973In contrast to univariate weighing designs, multivariate weighing designs are those designs on which there is a set of n vertors of observations {Y 2k}, where is a matrix of mathematical constants. (X 2k) and (k,i) is plus or minus the identify matrix, or the zero matrix. The best linear unbisased estimator for and its covariance matrix are found.
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