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Biometrika 1985 72(1):173-178; doi:10.1093/biomet/72.1.173
© 1985 by Biometrika Trust
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Minimax second- and third-order designs to estimate the slope of a response surface

RAHUL MUKERJEE and S. HUDA

Division of Theoretical Statistics and Mathematics, Indian Statistical Institute Calcutta 700 035, India

Designs for estimating the slope of a response surface are considered. Minimization of the variance of the estimated slope maximized over all points in the factor space is taken as the optimality criterion. Optimal designs under the minimax criterion are derived for second- and third-order polynomial regression over spherical regions.

Key Words: Optimal design • Rotatable design • Second-order design • Slope of a response surface • Third-order design


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