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New Results Regarding the Construction Method for D‑optimal Chemical Balance Weighing Designs
Acta Universitatis Lodziensis. Folia Oeconomica, 2020 We study an experiment in which we determine unknown measurements of p objects in n weighing operations according to the model of the chemical balance weighing design. We determine a design which is D‑optimal. For the construction of the D‑optimal design,
Bronisław Ceranka, Małgorzata Graczyk
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On incomplete and balanced incomplete block designs [PDF]
Proceedings of the American Mathematical Society, 1963 By an incomplete block design we will mean an arrangement of v different varieties of objects in b distinct blocks or sets such that a block does not contain all the varieties and a variety appears at most once in a block. An incomplete block design which satisfies two extra conditions, viz.
openaire +2 more sources
Double Arrays, Triple Arrays and Balanced Grids [PDF]
, 2005 Triple arrays are a class of designs introduced by Agrawal in 1966 for two-way elimination of heterogeneity in experiments. In this paper we investigate their existence and their connection to other classes of designs, including balanced incomplete block
McSorley, John P. +3 more
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Optimum Choice of Covariates for a Series of SBIBDS Obtained Through Projective Geometry [PDF]
, 2007 A block design set up is considered in presence of a number of controllable covariates. The problem is that of choosing the values of the covariates so that for a given block design, it is optimum in the sense of attaining minimum variance for the ...
Das, Premadhis +2 more
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On the Classification of Splitting (v, u×c, λ) BIBDs
Cybernetics and Information Technologies, 2018 The (v, u×c, λ)-splitting balanced incomplete block designs correspond to c-splitting authentication codes. We classify splitting balanced incomplete block designs with definite parameters.
Zhelezova Stela
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On quasi-orthogonal cocycles [PDF]
, 2017 We introduce the notion of quasi-orthogonal cocycle. This is motivated in part by the maximal determinant problem for square {±1}-matrices of size congruent to 2 modulo 4. Quasi-orthogonal cocycles are analogous to the orthogonal cocycles of algebraic
Armario Sampalo, José Andrés +1 more
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Symmetric Balanced Incomplete Block Designs (Sbibd) And Construction of Hadamard Rhotrices [PDF]
MATEC Web of ConferencesBalanced Incomplete Block Designs (BIBD) are the designs obtained from the arrangement of symbols in blocks following established rules and satisfying relevant necessary conditions.
Manivilasam Madhusoodanan Nair +2 more
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A Regular D‑optimal Weighing Design with Negative Correlations of Errors
Acta Universitatis Lodziensis. Folia Oeconomica, 2019 The issues concerning optimal estimation of unknown parameters in the model of chemical balance weighing designs with negative correlated errors are considered. The necessary and sufficient conditions determining the regular D‑optimal design and some new
Małgorzata Graczyk, Bronisław Ceranka
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Statistical Methods to Support Difficult Diagnoses
Diagnostics, 2021 Far too often, one meets patients who went for years or even decades from doctor to doctor without obtaining a valid diagnosis. This brings pain to millions of patients and their families, not to speak of the enormous costs.
Guenter F. Pilz +3 more
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Neighbor Balanced Block Designs for Two Factors [PDF]
, 2010 The concept of Neighbor Balanced Block (NBB) designs is defined for the experimental situation where the treatments are combinations of levels of two factors and only one of the factors exhibits a neighbor effect.
Abeynayake, N. R. +2 more
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