Slope rotatability over all directions designs for k = 4 |
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Authors: | Lisa H Ying Friedrich Pukelsheim Norman R Draper |
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Institution: |
a Exxon Chemical Co,
b Institut fur Mathematik, Universitat Augsburg,
c Department of Statisticsw, University of Wisconsin, |
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Abstract: | Slope rotatability over all directions (SROAD) is a useful concept when the slope of a second-order response is to be studied. SROAD designs ensure that knowledge jof the slope is acquired symmetrically, whatever direction later becomes of more interest as the data are analyzed. In a prior paper, we explored designs for k=2 and 3 dimensions, which do not have the full symmetries of second-order designs but which still possess the SROAD property.Here, we discuss designs in higher dimensions.The introductory sections 1 and 2 are essentially identical to those of the prior paper. |
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