MODIFIED ROTATABILITY FOR SECOND ORDER RESPONSE SURFACE DESIGNS USING BALANCED TERNARY DESIGNS
DOI:
https://doi.org/10.29121/shodhkosh.v5.i3.2024.1607Keywords:
Response Surface Designs, Modified Rotatable Designs, Balanced Ternary DesignsAbstract [English]
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.
References
Billington, E.J. and Robinson, P.J. (1983), A list of balanced ternary designs with R≤15, and some necessary existence conditions, Ars Combinatoria, 16, 235-258.
Billington, E.J. (1984), Balanced n-ary designs: A combinatorial survey and some new results, Ars Combinatoria, 17A, 37-72.
Box, G.E.P. and Hunter, J.S. (1957), Multifactor experimental designs for exploring response surfaces, Annals of Mathematical Statistics, 28, 195-241. DOI: https://doi.org/10.1214/aoms/1177707047
Das, M.N. and Narasimham, V.L. (1962), Construction of rotatable designs through balanced incomplete block designs, Annals of Mathematical Statistics, 33, 1421-1439. DOI: https://doi.org/10.1214/aoms/1177704374
Das, M.N., Rajendra P. and Manocha, VP. (1999), Response surface designs, symmetrical and asymmetrical, rotatable and modified, Statistics and Applications, 1, 17-34.
Donovan, D. (1985), Balanced ternary designs from 1-designs, Ars Combinatoria, 19, 95-104
Kanna, E., Saheb, S.K.A. and Bhatra, Ch.B. (2018), Construction of second order rotatable designs using balanced ternary designs, International Journal of Mathematical Archive, 9, 164-168.
Kaski, P. and Ostergard, P.R.J. (2004), Enumaration of balanced ternary designs, Discrete Applied Mathematics, 138, 133-141. DOI: https://doi.org/10.1016/S0166-218X(03)00276-2
Kunkle, T. and Sarvate, D.G. (1996), Balanced ternary designs, in Colbourn C.J. and Dintiz, J.H. (eds), The CRC Handbook of Combinatorial Designs, CRC Press, Boca-Raton, 233-238.
Varalakshmi, M. and Rajyalakshmi, K. (2020), Optimization of responses using balanced ternary designs, International Journal of Advanced Science and Technology, 29, 4771-4775.
Varalakshmi, M. and Rajyalakshmi, K. (2022), Measure of rotatability for a class of balanced ternary design, Communications in Mathematics and Applications, 13, 1109-1117. DOI: https://doi.org/10.26713/cma.v13i3.1823
Victorbabu, B. Re. and Vasundharadevi, V. (2005). Modified second order response surface designs using balanced incomplete block designs, Sri Lankan Journal of Applied Statistics. 6, 1-11.
Victorbabu, B. Re. and Vasundharadevi, V. and Viswanadham, B. (2008). Modified second order response surface designs using central composite designs, Canadian Journal of Pure and Applied Sciences, 2, 289-294.
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Copyright (c) 2024 P. Chiranjeevi, P. Jyostna, Sd. Jilani, B. Sulochana, K. N. R. Lakshmi

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