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A. Rajarathinam1 , M.Sindu 2
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.3 , pp.22-25, Jun-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i3.2225
Online published on Jun 30, 2019
Copyright © A. Rajarathinam, M.Sindu . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: A. Rajarathinam, M.Sindu, “Construction of un-equally replicated Pairwise Balanced Block Design using unreduced symmetrical BIBD,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.3, pp.22-25, 2019.
MLA Style Citation: A. Rajarathinam, M.Sindu "Construction of un-equally replicated Pairwise Balanced Block Design using unreduced symmetrical BIBD." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.3 (2019): 22-25.
APA Style Citation: A. Rajarathinam, M.Sindu, (2019). Construction of un-equally replicated Pairwise Balanced Block Design using unreduced symmetrical BIBD. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(3), 22-25.
BibTex Style Citation:
@article{Rajarathinam_2019,
author = {A. Rajarathinam, M.Sindu},
title = {Construction of un-equally replicated Pairwise Balanced Block Design using unreduced symmetrical BIBD},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2019},
volume = {6},
Issue = {3},
month = {6},
year = {2019},
issn = {2347-2693},
pages = {22-25},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1318},
doi = {https://doi.org/10.26438/ijcse/v6i3.2225}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i3.2225}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1318
TI - Construction of un-equally replicated Pairwise Balanced Block Design using unreduced symmetrical BIBD
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - A. Rajarathinam, M.Sindu
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 22-25
IS - 3
VL - 6
SN - 2347-2693
ER -
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Abstract :
A new method has been proposed for the construction of un-equally replicated Pairwise Balanced Block Design using unreduced Symmetrical Balanced Incomplete Block Design. The constructed method is illustrated with suitable numerical example. Optimality criteria has been derived and the constructed design is found to be universal optimum.
Key-Words / Index Term :
Block design, Incidence matrix, Pairwise balanced block designs, Concurrent matrix, Symmetric BIBD
References :
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[2] E. O. Effanga, J. A. Ugboh, , E. I. Enang, and B. E. A. Eno,” A tool for constructing Pair wise balanced incomplete block design”. Journal of Modern Mathematics and Statistics, vol 3, Issue 4, 69-72, 2009.
[3] D.K. Ghosh and N.R. Desai,” Optimal Pair wise balanced designs from Triangular PBIB Designs with v=10”, Int.J.Agrcult.Stat.Sci.,vol 10, Issue 2,pp. 297-304,2014.
[4] A.Das,”An introduction to optimality criteria and some results on optimal block design”, Design Workshop lecture note,ISI,Kolkatta, November 25-29,pp.1-21,2002
[5] A. Hedayat and J. Stufken ,” A relation between Pair wise balanced and Variance balanced block designs”, Journal of the American Statistical Association, vol 84, Issue 407, pp. 753-755, (1989).
[6] A. Rajarathinam, S. Mahalakshmi and D.K. Ghosh, “Construction of Pair wise balanced design”, Journal of Modern Applied Statistical Methods.,vo 15, Issue 1, pp. 193-205,2016.
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