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Combined Intra- and Inter- Block Analysis of Balanced Ternary Designs [PDF]
Journal of Statistical Theory and Applications (JSTA), 2018 In the present paper an attempt has been made to study the inter–and intra-block estimation of treatment effects contrasts with random block effects in the context of balanced ternary designs. The analysis is illustrated through examples.
Sobita Sapam, B. K. Sinha, N.K. Mandal
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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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About Some Properties and Constructions of Experimental Designs
Acta Universitatis Lodziensis. Folia Oeconomica, 2016 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.
Bronisław Ceranka, Małgorzata Graczyk
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The number of repeated blocks in balanced ternary designs with block size three II
Discrete Mathematics, 1991 The following statement is proved: a balanced ternary design on \(v\) elements with block size three, index two, and each element repeated in precisely two blocks, and having exactly \(k\) pairs of repeated blocks exists if and only if \(v\equiv 0,2\pmod 3\), \(v\geq 5\), \(0\leq k\leq v(v- 5)/6\), and \(k\neq v(v-5)/6-1\).
Billington, Elizabeth J., Hoffman, D. G.
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A family of balanced ternary designs with block size four [PDF]
Bulletin of the Australian Mathematical Society, 1986 This paper shows the existence of an infinite family of cyclic balanced ternary designs where the block size is 4, the index 2 and each block contains precisely one repeated element.
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More balanced ternary designs with block size three
Discrete Mathematics, 1982 AbstractA balanced ternary design (BTD) is a balanced design on V elements with constant block size, in which each element may occur 0, 1 or 2 times in each block. Thus blocks may be collections of elements rather than subsets of elements. A regular BTD is one in which each element occurs singly in ϱ1 blocks, and is repeated in ϱ2 blocks. The condition
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Balanced ternary designs with block size three, any Λ and anyR
Aequationes Mathematicae, 1985 A balanced ternary design with V elements is a collection of B blocks (which are multisets) of size K such that each element occurs 0, 1 or 2 times per block and R times altogether, and such that each unordered pair of distinct elements occur \(\Lambda\) times.
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ON D-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS
Acta Universitatis Lodziensis. Folia Oeconomica, 2015 The paper deals with the problem of determining the chemical balance weighing designs satisfying the criterion of D-optimality under assumption that the measurement errors are equal correlated and they have the same variances.
Bronisław Ceranka, Małgorzata Graczyk
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CONSTRUCTION METHOD OF A-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS
Acta Universitatis Lodziensis. Folia Oeconomica, 2015 Here, we study the design in that we determine unknown measurements of p objects by used of n measurement operations. For that reason we consider the chemical balance weighing design under assumption that the measurement errors are uncorrelated and they ...
Bronisław Ceranka, Małgorzata Graczyk
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, 2004 Zadanie pt. Digitalizacja i udostępnienie w Cyfrowym Repozytorium Uniwersytetu Łódzkiego kolekcji czasopism naukowych wydawanych przez Uniwersytet Łódzki nr 885/P-DUN/2014 zostało dofinansowane ze środków MNiSW w ramach działalności upowszechniającej naukę.
Ceranka, Bronisław +1 more
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