Relations between optimum biased spring balance weighing designs and optimum chemical balance weighing designs with non-homogeneity of the variances of errors

1994 ◽  
Vol 34 (3) ◽  
pp. 215-219
Author(s):  
B. Ceranka ◽  
K. Katulska
Keyword(s):  
Chemical Balance ◽  
Spring Balance ◽  
Optimum Chemical

scholarly journals Some remarks about optimum chemical balance weighing design for p = v + 1 objects

2009 ◽  
Vol 6 (1) ◽  
Author(s):  
Bronisław Ceranka ◽  
Małgorzata Graczyk
Keyword(s):  
Optimum Design ◽  
Measurement Errors ◽  
Chemical Balance ◽  
Existence Conditions ◽  
Optimum Chemical

The problem of the estimation of unknown weights of \(p = v + 1\) objects in the model of the chemical balance weighing design under the assumption that the measurement errors are uncorrelated and they have different variances is considered. The existence conditions determining the optimum design are presented.

New Construction of Optimum Chemical Balance Weighing Designs

1987 ◽  
Vol 36 (3-4) ◽  
pp. 165-170 ◽  
Author(s):  
B. Ceranka ◽  
K. Katulska
Keyword(s):  
Chemical Balance ◽  
Incidence Matrices ◽  
New Construction ◽  
Optimum Chemical

The present paper deals with certain chemical balance weighing designs. The incidence matrices of BIB designs for v treatments have been used to construct these designs for p = v + 1 objects. Conditions have been obtained for making some of these designs “optimum”. The incidence matrices of BIB designs have been used to construct new optimum chemical balance weighing designs.

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