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Rotatable

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RSM
Setting up a RSM
RSM Array
Rotatable
Center point
Formula

Design of experiments (DOE)


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Factorial Arrays
Full Factorial Array
Orthogonal Array
Plackett–Burman Array
Box-Behnken design
Central Composite design Design of experiments (DOE)
RSM

Rotatability is needed for a Response Surface design. A Matrix is rotatable if all the point have the same distance to the Center point.

Rotatable is desired for the quadratic fitting of the model.

2 Levels 3 Levels
Non linear response
Linear

Quadratic

Examples of rotatabel Designs


Central Composite design


Box-Behnken design
Blue
Center point

Examples of a not rotatabel Design


As visible in the graphical image of a 3 factor Full Factorial Design with 3 levels, the distance to the Center point variates.

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