From the course: Six Sigma: Black Belt
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Response surface methods - Minitab Tutorial
From the course: Six Sigma: Black Belt
Response surface methods
Response Surface Methods or RSM are another class of designs different from factorial designs. The big advantage that Response Surface Methods have over factorial designs is that RSM is able to model curvature and second-order, or quadratic relationships. If there is significant curvature, the factorial designs are not adequate. You can use RSM designs when there is curvature. The theoretical basis for RSM is that an output Y is represented by a curved response surface. A Second-Order or Quadratic Model is required as shown here where x1 and x2 are the factors of interest. The difference between a Response Surfaced equation and a equation for a factorial design is the addition of the squared or quadratic terms. These terms are added to model curvature in that response. There are many designs in RSM. Central Composite Design, CCD, is the most popular. In CCD, all factors have only two levels, and the centerpoints and axial points are defined. The main effects and interactions are…
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