Box Behnken RSM

This example validates the calculation of the Box-Behnken RSM method in DOE++.

The data is from Example 7.5 on page 347 in the book Response Surface Methodology: Process and Product Optimization Using Designed Experiments, 2nd Edition, by Raymond H. Myers and Douglas C. Montgomery, John Wiley & Sons, Inc. 2002.

The viscosity of the resin was recorded as an indirect measure of molecular weight.

From the book, the ANOVA table (partial sum of squares) is:

The final equation in terms of actual factors:


 * $$\begin{align}

Viscosity=-58.875+2.65 * Temp-0.65 * Agitation-11.125*Rate-0.0118*Temp^2+0.3*Agitation^2 \\

-0.145*Rate^2-0.032*Temp*Agitation+0.088*Temp*Rate+0.14*Agitation*Rate \end{align}$$

The software results match the book results. The ANOVA table is:



The final equation in terms of the actual factors is:



The maximum viscosity is shown in the following optimal solution plot.