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Construction of Optimal Pairwise Balanced Block Designs Based on 3n Symmetrical Factorial Design
M.Sindu 1 , A. Rajarathinam2
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.3 , pp.45-48, Jun-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i3.4548
Online published on Jun 30, 2019
Copyright © M.Sindu, A. Rajarathinam . 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: M.Sindu, A. Rajarathinam, “Construction of Optimal Pairwise Balanced Block Designs Based on 3n Symmetrical Factorial Design,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.3, pp.45-48, 2019.
MLA Style Citation: M.Sindu, A. Rajarathinam "Construction of Optimal Pairwise Balanced Block Designs Based on 3n Symmetrical Factorial Design." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.3 (2019): 45-48.
APA Style Citation: M.Sindu, A. Rajarathinam, (2019). Construction of Optimal Pairwise Balanced Block Designs Based on 3n Symmetrical Factorial Design. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(3), 45-48.
BibTex Style Citation:
@article{Rajarathinam_2019,
author = {M.Sindu, A. Rajarathinam},
title = {Construction of Optimal Pairwise Balanced Block Designs Based on 3n Symmetrical Factorial Design},
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 = {45-48},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1323},
doi = {https://doi.org/10.26438/ijcse/v6i3.4548}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i3.4548}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1323
TI - Construction of Optimal Pairwise Balanced Block Designs Based on 3n Symmetrical Factorial Design
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - M.Sindu, A. Rajarathinam
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 45-48
IS - 3
VL - 6
SN - 2347-2693
ER -
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Abstract :
A new method for constructing Optimal Pairwise Balanced Block Design using the concept of 3n symmetrical factorial design has been proposed. The constructed method is illustrated with numerical example and the design is found to be universal optimal.
Key-Words / Index Term :
Block design, Incidence matrix, Balanced Design, Pairwise Balanced Block Designs, Concurrent matrix
References :
[1] R. C. Bose, & S. S. Shrikhande, “On the falsity of Euler’s conjecture about the non-existence of two orthogonal latin square of order” , Proceedings of the National Academy of Sciences of the United States of America, Vol.45,Issue.5, pp.734-737,1959(a).
[2] R. C. Bose, & S. S. Shrikhande, “On the composition of balanced incomplete block designs”, Canadian Journal of Mathematics, Vol. 12, pp.177-188,1960(a).
[3] R. C. Bose, & S. S. Shrikhande, “On the construction of sets of mutually orthogonal Latin squares and the falsity of a conjecture of Euler” , Transactions of the American Mathematical Society, Vol.95, Issue.2, pp.191-209,1960(b).
[4] D.K. Ghosh, and N.R. Desai,“Optimal Pairwise balanced designs from Triangular PBIB Designs with v=10”, Int.J.Agrcult.Stat.Sci., Vol.10.Issue .2,pp.297-304,2004.
[5] 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
[6] A. Rajarathinam, S. Mahalakshmi and D.K. Ghosh “Construction of Pairwise balanced design”, Journal of Modern Applied Statistical Method, Vol.15,Issue. 1, pp.193-205,2016.
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