Modified Robust Second-Order Slope-Rotatable Designs |
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| Authors: | Rabindra Nath Das Partha Pal Sung H Park |
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| Institution: | 1. Department of Statistics, The University of Burdwan, Burdwan, West Bengal, Indiarabin.bwn@gmail.com;3. Department of Statistics, Maulana Azad College, Kolkata, West Bengal, India;4. Department of Statistics, Seoul National University, Seoul, Korea |
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| 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. |
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| Keywords: | Correlated errors Response surface designs Robust designs Robust modified slope-rotatability Robust slope-rotatability |
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