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Balanced ternary designs with block size four

Journal of Statistical Planning and Inference, 1993
A \(\text{BTD}(v,\rho_ 2,4,\lambda)\) is a balanced ternary design such that \(k=4\) and each element occurs two times in \(\rho_ 2\) blocks (and, of course, each pair of distinct elements occurs \(\lambda\) times in a block). A necessary existence condition for such a BTD is: if \(\lambda=2\) then \(v \geq 5 \rho_ 2+1\), if \(\lambda=3\) then \(v \geq
Billington, Elizabeth J.   +2 more
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Some Constructions of Balanced Ternary Residual Treatment Effects Designs

Journal of Statistical Theory and Practice, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aggarwal, Manohar, Jha, Mithilesh Kumar
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Topics in balanced ternary designs

Bulletin of the Australian Mathematical Society, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Construction of Balanced Ternary Designs with Nested Rows and Columns Using BIB Designs

Calcutta Statistical Association Bulletin, 1998
Balanced ternary designs with nested rows and columns have been constructed using balanced incomplete block designs.
Tyagi, B. N., Rizwi, S. K.
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A note on the relations between two ternary balanced block designs and chemical balance weighing designs

Discussiones Mathematicae Probability and Statistics, 2001
Summary: The paper studied the problem of estimation of the weights of \(p\) objects in \(n\) weighings using a chemical balance weighing design under restrictions on the number of objects which can be placed on the right and left pans, respectively. Conditions under which the estimated weights are uncorrelated are given.
Ambroży, Katarzyna, Ceranka, Bronisław
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A note on partially balanced ternary designs

Periodica Mathematica Hungarica, 1988
\textit{S. K. Mehta}, \textit{S. K. Agrawal} and \textit{A. K. Nigam} [Sankhyā, Ser. B 37, 211-219 (1975; Zbl 0382.05013)] have introduced partially balanced ternary designs and have given two methods of their construction. One from the incidence matrix of a PBIB design and another by multiplying the incidence matrix of a BIB design.
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More balanced ternary designs with block size four

Journal of Statistical Planning and Inference, 1987
This paper gives necessary and sufficient conditions for the existence of balanced ternary designs with block size four and \(\Lambda =2\) in the cases \(\rho_ 2=3,4,5\) and 6; the cases \(\rho_ 2=1\) and 2 have appeared earlier.
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A new class of partially balanced ternary designs

1988
Construction of partially balanced ternary designs have been considered by \textit{S. Mehta, S. K. Agarwal} and \textit{A. K. Nigam}, Sankhya, Ser. B 37, 211-219 (1975; Zbl 0382.05013) and \textit{K. Sinha} and \textit{G. M. Saha}, Biom. J. 21, 767-772 (1979; Zbl 0424.62053). Here, a method of construction of these designs has been described.
PATWARDHAN, GA, SHARMA, S
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MODIFIED ROTATABILITY FOR SECOND ORDER RESPONSE SURFACE DESIGNS USING BALANCED TERNARY DESIGNS

ShodhKosh: Journal of Visual and Performing Arts
In this article, following the methods constructions of Kanna et al. (2018) Varalakshmi and Rajyalakshmi (2020, 22), a new method of modified second order response surface designs using balanced ternary designs (BTD) is suggested. A few explanatory illustrations are also presented.
P Chiranjeevi   +4 more
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Design of optical reconfigurable balanced ternary arithmetic logic unit using MEMS based design

Optics Communications, 2015
Abstract A new and novel design of microelectromechanical system (MEMS) based optical reconfigurable balanced ternary arithmetic logic unit (radix=3) has been proposed and described in this paper. We can get any logical and arithmetical function from the proposed design without changing the circuit design.
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