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Research Article Open access CC BY 4.0

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

Sulochana Beeraka, Re. Victor Babu Bejjam

Asian Journal of Probability and Statistics · pp. 1–12 · Published 31 Dec 2020

10.9734/ajpas/2020/v10i330246

Abstract

In this paper, a study of second order slope rotatable designs under intra-class correlation error structure using two suitably chosen dissimilar incomplete block designs like balanced incomplete block designs and symmetrical unequal block arrangements with two unequal block sizes are suggested. Further, we study the variance of the estimated slopes for different values of the intra-class correlation coefficient (ρ) and the distance from the centre (d) for v factors are suggested. Some illustrative examples are also suggested.

Second order response surface designs intra-class correlated errors.

References (10)

  1. 1 Constructions and Combinatorial Problems in Design of Experiments [DOI]
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  3. 3 Robust Second Order Rotatable Designs : Part I [DOI]
  4. 4 Slope Rotatability with Correlated Errors [DOI]
  5. 5 Construction of second order slope rotatable designs through balanced incomplete block designs [DOI]
  6. 6 Slope-Rotatable Central Composite Designs [DOI]
  7. 7 On Second Order Slope Rotatable Designs - A Review
  8. 8 Second Order Slope Rotatable Designs under Intra-Class Correlated Error Structure Using Balanced Incomplete Block Designs
  9. 9 A Study of Second Order Slope Rotatable Designs under Intra-class Correlated Structure of Errors Using Partially Balanced Incomplete Block Type Designs [DOI]
  10. 10 Some contributions to second order rotatable and slope rotatable designs under different correlated error structures

Cited by 2

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

K. Rajyalakshmi, B. Sulochana, B. Victorbabu · Asian Journal of Probability and Statistics · 2020

Modified second order slope rotatable designs using supplementary difference sets

P. Chiranjeevi, B. R. V. Babu · Journal of Mathematics and Computer Science · 2021

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