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Modified Robust Second-Order Slope-Rotatable Designs

Rabindra Nath Das, Partha Pal and Sung H. Park

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 1, 80-94

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.

Date: 2015
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DOI: 10.1080/03610926.2012.732183

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