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Patterns of Malnutrition in Children Aged Six Months to Five Years: A Community-Based Cross-Sectional Study in Eastern Uttar Pradesh. [PDF]
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Notes about A-optimal spring balance weighing design
Journal of Statistical Planning and Inference, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Graczyk
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On Certain D-Optimal Spring Balance Weighing Designs
Journal of Statistical Theory and Practice, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Katulska, Krystyna, Przybył, Katarzyna
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A-Optimal Spring Balance Weighing Designs Under Some Conditions
Communications in Statistics - Theory and Methods, 2012In this article, the estimation problem of individual weights of objects in spring balance weighing design using the criterion of A-optimality is discussed. It is assumed that the measurement errors have different variances. The lowest bound of the trace of the dispersion matrix is obtained and the conditions when this lowest bound is achieved are ...
M. Graczyk
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Some observations on repeated spring balance weighing designs
Annals of the Institute of Statistical Mathematics, 1974Dey [3] has suggested a spring balance weighing design in preference to “repeated designs”, and later, Kulshreshtha and Dey [5] have suggested yet one more weighing design which, they say, would be preferred to “repeated designs” and to those suggested in [3], provided one is interested in estimating the weights of some of the objects with increased ...
K. S. Banerjee
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Optimum spring balance weighing designs for estimating the total weight
Communications in Statistics - Theory and Methods, 1980The problem of estimation of the total weight or objects using a spring balance weighing design has been deait with in this paper Based on a theorem by Dey and Gupta (1977) giving a lower bound for the variance of the estimated total weight, a necessary and sufficient condition for this lower bound to be attained is obtained.
M. N. Swamy
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Biometrical Journal, 1989
AbstractThe incidence matrix of a BIB design for v treatments has been used to construct a biased spring balance weighing design. Conditions under which an optimum biased spring balance weighing design exists are given. It is also shown how this theory may be utilized to obtain treatment and experiment designs to estimate differences in legume content ...
B. Ceranka, K. Katulska
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AbstractThe incidence matrix of a BIB design for v treatments has been used to construct a biased spring balance weighing design. Conditions under which an optimum biased spring balance weighing design exists are given. It is also shown how this theory may be utilized to obtain treatment and experiment designs to estimate differences in legume content ...
B. Ceranka, K. Katulska
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Australian Journal of Statistics, 1986
The problem of estimation of the total weight of objects using a singular spring balance weighing design with non‐homogeneity of the variances of errors has been dealt with in this paper. Based on a theorem by Katulska (1984) giving a lower bound for the variance of the estimated total weight, a necessary and sufficient condition for this lower bound ...
Ceranka, B., Katulska, K.
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The problem of estimation of the total weight of objects using a singular spring balance weighing design with non‐homogeneity of the variances of errors has been dealt with in this paper. Based on a theorem by Katulska (1984) giving a lower bound for the variance of the estimated total weight, a necessary and sufficient condition for this lower bound ...
Ceranka, B., Katulska, K.
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Australian Journal of Statistics, 1989
SummaryThe problem of the estimation of the linear combination of weights, c′w, in a singular spring balance weighing design when the error structure takes the form E(ee′) =s̀2G has been studied. A lower bound for the variance of the estimated linear combination of weights is obtained and a necessary and sufficient condition for this lower bound to be ...
K. Katulska
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SummaryThe problem of the estimation of the linear combination of weights, c′w, in a singular spring balance weighing design when the error structure takes the form E(ee′) =s̀2G has been studied. A lower bound for the variance of the estimated linear combination of weights is obtained and a necessary and sufficient condition for this lower bound to be ...
K. Katulska
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1995
The paper deals with the problem of estimating the individual weights of objects with minimum variances by using a weighing design with the diagonal covariance matrix of errors in the model. The necessary and sufficient conditions for optimum biased spring balance weighing designs with the diagonal covariance matrix of errors and for optimum chemical ...
Bronisław Ceranka, Krystyna Katulska
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The paper deals with the problem of estimating the individual weights of objects with minimum variances by using a weighing design with the diagonal covariance matrix of errors in the model. The necessary and sufficient conditions for optimum biased spring balance weighing designs with the diagonal covariance matrix of errors and for optimum chemical ...
Bronisław Ceranka, Krystyna Katulska
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