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Relevant bibliographies by topics / Balanced Ternary Designs

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Journal articles

Academic literature on the topic 'Balanced Ternary Designs'

Author: Grafiati

Published: 8 September 2023

Last updated: 15 June 2025

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Journal articles on the topic "Balanced Ternary Designs"

1

Sarvate, D. G. "Constructions of balanced ternary designs." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 48, no. 2 (1990): 320–32. http://dx.doi.org/10.1017/s1446788700035710.

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AbstractA construction for balanced ternary designs is given. Based on the designs so obtained, a construction of partially balanced ternary designs is given, which gives balanced ternary designs and series of symmetric balanced ternary designs in special cases.

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2

Agarwal, G. G., and Sanjay Kumar. "CONSTRUCTION OF BALANCED TERNARY DESIGNS." Australian Journal of Statistics 28, no. 2 (1986): 251–55. http://dx.doi.org/10.1111/j.1467-842x.1986.tb00605.x.

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3

Kaski, Petteri, and Patric R. J. Östergård. "Enumeration of balanced ternary designs." Discrete Applied Mathematics 138, no. 1-2 (2004): 133–41. http://dx.doi.org/10.1016/s0166-218x(03)00276-2.

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4

Donovan, Diane M. "Topics in balanced ternary designs." Bulletin of the Australian Mathematical Society 37, no. 2 (1988): 311–12. http://dx.doi.org/10.1017/s0004972700026861.

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5

Tyagi, B. N., and S. K. Rizwi. "Construction of Balanced Ternary Designs with Nested Rows and Columns Using BIB Designs." Calcutta Statistical Association Bulletin 48, no. 1-2 (1998): 115–18. http://dx.doi.org/10.1177/0008068319980112.

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6

Ceranka, Bronisław, and Małgorzata Graczyk. "New Results Regarding the Construction Method for D‑optimal Chemical Balance Weighing Designs." Acta Universitatis Lodziensis. Folia Oeconomica 4, no. 349 (2020): 129–41. http://dx.doi.org/10.18778/0208-6018.349.08.

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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, we use the incidence matrices of balance incomplete block designs, balanced bipartite weighing designs and ternary balanced block designs. We give some optimality conditions determining the relationships between the parameters of a D‑optimal design and we present a series of parameters of such designs. Based on these parameters, we will be able to set down D‑optimal designs in classes in which it was impossible so far.

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7

Ghosh, D. K., and K. S. Joshi. "Construction of Variance Balanced Designs through Triangular PBIB Designs." Calcutta Statistical Association Bulletin 45, no. 1-2 (1995): 111–18. http://dx.doi.org/10.1177/0008068319950107.

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Several authors have obtained variance balanced (VB) and ternary variance balanced ( V B) designs using balanced incomplete block (BIB) designs and group divisible (GD) designs. In the present investigation, another systematic methods have been developed for the construction of VB designs using A Triangular PBIB design and an incomplete block design where the blocks of the incomplete block design are formed by taking the second associate treatments of the given triangular PBIB design. Two Triangular PBIB designs. The methods of construction of VB designs are further illustrated by examples.

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8

Billington, Elizabeth J., A. Khodkar, and E. S. Mahmoodian. "Balanced ternary designs with block size four." Journal of Statistical Planning and Inference 37, no. 1 (1993): 95–126. http://dx.doi.org/10.1016/0378-3758(93)90082-h.

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9

Misra, B. L. "A note on partially balanced ternary designs." Periodica Mathematica Hungarica 19, no. 1 (1988): 33–39. http://dx.doi.org/10.1007/bf01848006.

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10

Graczyk, Małgorzata, and Malwina Janiszewska. "Remarks about a construction method for D-optimal chemical balance weighing designs." Biometrical Letters 56, no. 2 (2019): 215–38. http://dx.doi.org/10.2478/bile-2019-0012.

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SummaryThis paper presents some constructions of regular D-optimal weighing designs based on the incidence matrices of a balanced incomplete block design, balanced bipartite weighing design and ternary balanced block design. We determine optimality conditions and relations between the parameters of the design, and give an example.

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