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Research Article Open access CC BY 4.0

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

B. Sulochana, B. Re. Victorbabu

Asian Journal of Probability and Statistics · pp. 15–28 · Published 3 Jul 2020

10.9734/ajpas/2020/v7i430190

Abstract

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.

Second order response surface designs slope rotatability intra-class correlated errors

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