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Prediction of the variations of the mean response by using experimental design with quantitative factors and random block effects. (English) Zbl 1009.62571
Summary: This paper is devoted to the prediction of the mean response variations when a linear mixed model is used. Our main goal is to determinate rotatability properties. We prove that slope-rotatability or slope-rotatability over any direction cannot easily be used in practice. That is why we study a weaker notion, called slope-rotatability over all directions.
MSC:
62K10 Statistical block designs
62K20 Response surface designs
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