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Modified Robust Second-Order Slope-Rotatable Designs

Author

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  • Rabindra Nath Das
  • Partha Pal
  • Sung H. Park

Abstract

Generally it is very difficult to construct robust slope-rotatable designs along axial directions. Present paper focuses on modified second-order slope-rotatable designs (SOSRDs) with correlated errors. Modified robust second-order slope-rotatability conditions are derived for a general variance–covariance structure of errors. These conditions get simplified for intraclass correlation structure. A few robust second-order slope-rotatable designs (over all directions, or with equal maximum directional variance slope, or D-optimal slope) are examined with respect to modified robust slope-rotatability. It is observed that robust second-order slope-rotatable designs over all directions, or with equal maximum directional variance slope, or D-optimal slope are not generally modified robust second-order slope-rotatable designs.

Suggested Citation

  • Rabindra Nath Das & Partha Pal & Sung H. Park, 2015. "Modified Robust Second-Order Slope-Rotatable Designs," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(1), pages 80-94, January.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:1:p:80-94
    DOI: 10.1080/03610926.2012.732183
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