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A note on D-optimal chemical balance weighing designs with autocorrelated observations [PDF]
Statistical Papers, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Łukasz Smaga, Smaga Łukasz
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A note on the estimation of total weight in chemical balance weighing designs
Metrika, 1990 This paper studies the problem of estimation of the total weight of objects using a chemical balance weighing design under the restriction |L−R| ≤a, whereL andR represent the number of objects placed on the left and right pans, respectively. A lower bound for the variance of the estimated total weight is given and a necessary and sufficient condition ...
Ceranka, B., Katulska, K.
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Some Construction Methods of Optimum Chemical Balance Weighing Designs III
Open Journal of Statistics, 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 balanced designs are also obtained.
Rashmi Awad, Shakti Banerjee
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Optimum Chemical Balance Weighing Design under Certain Condition [PDF]
, 2009 2000 Mathematics Subject Classification: 62K05, 05B05. The problem of estimation of unknown weights of p objects is considered. The experiment is carried out according to the standard Gauss-Markoff model of the chemical balance weighing design. Existence conditions of the optimum design are given.
Ceranka, Bronislaw, Graczyk, Malgorzata
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Improvement in Some Soil Characteristics and Vegetative Cover through Spate Irrigation in Jahanabad TorbateJam [PDF]
پژوهشهای آبخیزداری, 2017 Quantitative and qualitative characteristics of the suspended load may affect soil and vegetation. After drawing an area map, soil and vegetation were examined at both floodwater spreaders and control areas.
Masoud Derakhshi +3 more
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A-optimal biased spring balance weighing design [PDF]
, 2011 summary:In this paper we study the problem of estimation of individual measurements of objects in a biased spring balance weighing design under assumption that the errors are uncorrelated and they have different variances.
Graczyk, Małgorzata
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On Highly D-Efficient Designs with Nonnegatively Correlated Observations
Revstat Statistical Journal, 2017 In the most difficult case where the number of observations n ≡ 3 (mod 4), high D-efficiency of certain chemical balance weighing designs under completely symmetric covariance matrix of errors is shown. It is also proved that D-optimal design may depend
Krystyna Katulska , Lukasz Smaga
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On the optimality of chemical balance weighing designs
Journal of Statistical Planning and Inference, 1983 Optimality of chemical balance weighing designs is considered in this paper. The authors have used a ternary design matrix \(X_ d\in C(N,n)\) for \(N\geq n\) with entries -1,0,1. The authors have chosen the optimality criteria of type I as defined by \textit{C.-S. Cheng} in Ann. Stat. 8, 436- 446 (1980; Zbl 0425.62055).
Jacroux, Mike +2 more
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A-optimal chemical balance weighing design under certain condition
Advances in Methodology and Statistics, 2007 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 \(p_1 + p_2 = q \leq p\), where \(p_1\) and \(p_2\) represent the number of objects placed on the left pan and on the right pan, respectively, in each of the ...
Ceranka, Bronisław +1 more
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D-optimal and highly D-efficient designs with non-negatively correlated observations [PDF]
, 2016 summary:In this paper we consider D-optimal and highly D-efficient chemical balance weighing designs. The errors are assumed to be equally non-negatively correlated and to have equal variances.
Katulska, Krystyna, Smaga, Łukasz
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