About Some Properties and Constructions of Experimental Designs

In this paper, we consider the problems related to the determining plan of the experiment performed according to the model of the chemical balance weighing design under additional assumption that the experimental errors are equally negatively correlated. This problem is studied from the point of vie...

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Main Authors:	Bronisław Ceranka, Małgorzata Graczyk
Format:	Article
Language:	English
Published:	Lodz University Press 2016-12-01
Series:	Acta Universitatis Lodziensis. Folia Oeconomica
Subjects:	balanced incomplete block design chemical balance weighing design D-optimality ternary balanced block design
Online Access:	https://czasopisma.uni.lodz.pl/foe/article/view/767

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spelling	doaj-a02373e4cb0f45a88d4eaadb2d85ecb32020-11-24T21:41:04ZengLodz University PressActa Universitatis Lodziensis. Folia Oeconomica0208-60182353-76632016-12-01332210.18778/0208-6018.322.08380About Some Properties and Constructions of Experimental DesignsBronisław Ceranka0Małgorzata GraczykPoznań University of Life Science, Department of Mathematical and Statistical MethodsIn this paper, we consider the problems related to the determining plan of the experiment performed according to the model of the chemical balance weighing design under additional assumption that the experimental errors are equally negatively correlated. This problem is studied from the point of view of D-optimality of such a design. We give new a construction method of D-optimal chemical balance weighing design and the list of possible experimental plans.https://czasopisma.uni.lodz.pl/foe/article/view/767balanced incomplete block designchemical balance weighing designD-optimalityternary balanced block design
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bronisław Ceranka Małgorzata Graczyk
spellingShingle	Bronisław Ceranka Małgorzata Graczyk About Some Properties and Constructions of Experimental Designs Acta Universitatis Lodziensis. Folia Oeconomica balanced incomplete block design chemical balance weighing design D-optimality ternary balanced block design
author_facet	Bronisław Ceranka Małgorzata Graczyk
author_sort	Bronisław Ceranka
title	About Some Properties and Constructions of Experimental Designs
title_short	About Some Properties and Constructions of Experimental Designs
title_full	About Some Properties and Constructions of Experimental Designs
title_fullStr	About Some Properties and Constructions of Experimental Designs
title_full_unstemmed	About Some Properties and Constructions of Experimental Designs
title_sort	about some properties and constructions of experimental designs
publisher	Lodz University Press
series	Acta Universitatis Lodziensis. Folia Oeconomica
issn	0208-6018 2353-7663
publishDate	2016-12-01
description	In this paper, we consider the problems related to the determining plan of the experiment performed according to the model of the chemical balance weighing design under additional assumption that the experimental errors are equally negatively correlated. This problem is studied from the point of view of D-optimality of such a design. We give new a construction method of D-optimal chemical balance weighing design and the list of possible experimental plans.
topic	balanced incomplete block design chemical balance weighing design D-optimality ternary balanced block design
url	https://czasopisma.uni.lodz.pl/foe/article/view/767
work_keys_str_mv	AT bronisławceranka aboutsomepropertiesandconstructionsofexperimentaldesigns AT małgorzatagraczyk aboutsomepropertiesandconstructionsofexperimentaldesigns
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About Some Properties and Constructions of Experimental Designs

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