Abstract
The following article has been retracted due to the investigation of complaints received against it. Title: A New Method of Construction of Robust Second Order Slope Rotatable Designs Using Pairwise Balanced Designs. Authors: Bejjam Re. Victorbabu, Kottapalli Rajyalakshmi.The paper is a copy of Dr. Rabindra Nath Das’s former article, entitled “Slope rotatability with correlated errors (Vol. 54, pp. 57-70, 2003)” and “Robust second order rotatable designs (Part I)”. The scientific community takes a very strong view on this matter and we treat all unethical behavior such as plagiarism seriously. This paper published in OJSVol.2 No.3, 319-327, 2012, has been removed from this site.
Highlights
In response surface methodology, rotatability is a natural and highly desirable property
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)
Victorbabu and Rajyalakshmi [8] constructed a new method of construction of robust second order rotatable designs using BIBD
Summary
Rotatability is a natural and highly desirable property. In order to study the nature of robust rotatable designs, rotatability conditions for second order regression designs have been derived, assuming the errors to be correlated. These conditions have been further studied under different variance covariance structures of errors. Victorbabu and Narasimham [12] constructed second order slope rotatable designs (SOSRD) using BIBD assuming errors are uncorrelated and homoscedastic. Das [14] introduced the concept of slope rotatability with correlated errors, which requires that the variance of the estimated derivative to be constant, independent of correlation parameter involved in the variance-covariance structure of errors They have studied slope rotatability conditions for a second order design with correlated errors. SRD using PBD and obtained the variance of the estimated derivatives for factors 6 ≤ v ≤ 15
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