Modified second-order slope rotatable designs with equi-spaced levels

Abstract

Second-order response surface designs Equi-spaced doses designs Modified second-order slope rotatable designs a b s t r a c tIn this paper, a new method of construction of modified second-order slope rotatable designs with equi-spaced levels using central composite designs and balanced incomplete block designs is suggested.

A Note on Second Order Slope Rotatable Designs under Intra-class Correlated Errors Using Pairwise Balanced Designs

“…Victorbabu and Narasimham [6,7] constructed second order slope rotatable designs (SOSRD) through BIBD and PBD respectively. Victorbabu [8] suggested a review on SOSRD.…”

Measure of Slope Rotatability for Second Order Response Surface Designs under Intra-class Correlated Structure of Errors Using Pairwise Balanced Designs

“…Victorbabu and Narasimham [5,6] studied second order slope rotatable designs (SOSRD) using BIBD and pairwise balanced designs (PBD) respectively. Victorbabu [7,8] suggested SOSRD symmetrical unequal block arrangements (SUBA) with two unequal block sizes a review on SOSRD. To access the degree of slope rotatability Park and Kim [9] introduced a measure for second order response surface designs.…”

On the Efficiencies of Second Order Response Surface Designs for the Estimation of Responses and Slopes Using Symmetrical Unequal Block Arrangements with Two Unequal Block Sizes

“…) in an equi-spaced doses SOSRD at the central point Following Victorbabu et al (1994) and Victorbabu (2002a), an equi-spaced doses second order slope rotatable design (EDSOSRD) can be obtained by considering the following design points, (i) b2 t(k) points obtained through the incidence matrix of an SUBA with two unequal block sizes, (ii) 2v axial points, viz., (±2α, 0, 0, . .…”

“…Victorbabu et al (1994) constructed SOSRDs with equi-spaced levels using incomplete block designs with unequal block sizes. Victorbabu (2002a) studied SOSRDs with equi-spaced levels. Victorbabu (2002b) constructed SOSRDs using symmetrical unequal block arrangements with two unequal block sizes.…”