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A New Method of Construction of Robust Second Order Slope Rotatable Designs Using Pairwise Balanced Designs

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Author(s): B. Re. Victorbabu | K. Rajyalakshmi

Journal: Open Journal of Statistics
ISSN 2161-718X

Volume: 02;
Issue: 03;
Start page: 319;
Date: 2012;
Original page

Keywords: Response Surface Designs | Slope Rotatability | Correlated Errors | Robustness | Second Order Slope Rotatable Designs (SOSRD)

ABSTRACT
In this paper, a new method of construction of robust second order slope rotatable designs (RSOSRD) using pairwise balanced designs (PBD) is suggested and also obtained the variance of the estimated derivatives for the factors 6 ≤ v ≤ 15. It is shown that the new method sometimes leads to designs with less number of design points compared to designs constructed with the help of balanced incomplete block designs (BIBD).
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