A Study of Second Order Slope Rotatable Designs under Intra-class Correlated Structure of Errors Using Partially Balanced Incomplete Block Type Designs

Abstract

<jats:p>In this paper, a study of second order slope rotatable designs under intra-class correlated structure of errors using partially balanced incomplete block type designs is suggested. Further, we study the variance function of the estimated slopes for different values of intra-class correlated coefficient ( ) and distance from centre (d) for 6 ≤ v ≤ 12 (number of factors) are also suggested. We note the new method sometimes leads to designs with fewer number of design points.</jats:p>

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

“…Rajyalakshmi and Victorbabu [12,13,14] constructed SOSRD under intra-class correlation structure of errors using central composite designs, symmetrical unequal block arrangements (SUBA) with two unequal block sizes and BIBD respectively. Sulochana and Victorbabu [15,16,17] studied SOSRD under intra-class correlation structure of errors using central composite designs, symmetrical unequal block arrangements (SUBA) with two unequal block sizes and BIBD respectively.…”

“…17) and on simplification, we get the following fourth degree polynomial equation in . This can be alternatively written directly from (3.1).…”

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

“…Rajyalakshmi et al [24] studied SOSRD under intra-class structure of errors using PBD. Sulochana and Victorbabu [25][26][27][28][29] studied SOSRD under intra-class structure of errors using a pair of BIBD, a pair of SUBA with two unequal block sizes, partially balanced incomplete block type designs and measure of slope rotatability for second order response surface designs using CCD and BIBD under intra-class correlated structure of errors respectively.…”

On Second Order Slope Rotatable Designs under Intra-class Correlated Structure of Errors Using a Pair of Dissimilar Incomplete Block Designs

“…Rajyalashmi [14] constructed second order rotatable and slope rotatable designs under different correlated error structures, Rajyalakshmi and Victorbabu [15][16][17] developed SOSRD under intra-class correlation structure of errors using central composite designs, symmetrical unequal block arrangements (SUBA) with two unequal block sizes and BIBD respectively. Sulochana and Victorbabu [18][19][20] studied SOSRD under intra-class correlated structure of errors using a pair of BIBD, SUBA with two unequal block sizes and partially balanced incomplete block type designs.…”