PREDICTION OF THE VARIATIONS OF THE MEAN RESPONSE BY USING EXPERIMENTAL DESIGN WITH QUANTITATIVE FACTORS AND RANDOM BLOCK EFFECTS

Abstract

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.

Keywords:

• Linear mixed model
• Usual designs
• Slope rotatability
• Slope rotatability over any direction
• Slope rotatability over all directions

Acknowledgments