Reconsider the wave soldering experiment in Problem 12.16. Suppose that it was necessary to fit a complete quadratic model in the controllable variables, all main effects of the noise variables, and all controllable variable-noise variable interactions. What design would you recommend?
Problem 12.16:
Rework Problem 12.15 using the I-criterion to construct the design. Compare this design to the D-optimal design in Problem 12.15. Which design would you prefer?
Problem 12.15:
Reconsider the situation in Problem 12.13. What is the minimum number of runs that can be used to estimate all of the model parameters using a combined array design? Use a Doptimal algorithm to find a reasonable design for this problem.
Problem 12.13:
Suppose that there are four controllable variables and two noise variables. It is necessary to fit a complete quadratic model in the controllable variables, the main effects of the noise variables, and the two-factor interactions between all controllable and noise factors. Set up a combined array design for this by modifying a central composite design.