Response Optimizer
Poisson Regression

Optimization Solution - Solution

  

The optimization procedure picks several starting points from which to begin searching for the optimal variable settings. There are two types of solutions for the search:

·    Local solution: For each starting point, there is a local solution. These solutions are the "best" combination of variable settings found beginning from a particular starting point.

·    Global solution: There is only one global solution, which is the best of all the local solutions. The global solution is the "best" combination of variable settings for achieving the desired responses.

By default, Minitab only displays the global solution.

Minitab calculates the individual desirability for each predicted response. The individual desirability values are then combined into the composite desirability. These desirability values can help you understand how close the predicted responses are to your target requirements. Desirability is measured on a 0 to 1 scale.

Individual desirability: The closer the predicted responses are to your target requirements, the closer the desirability will be to 1. The individual desirability for each response is displayed on the Optimization Plot.

Composite desirability: The composite desirability combines the individual desirabilities into an overall value, and reflects the relative importance of the responses. The higher the desirability the closer it will be to 1.

By default, Minitab places equal importance on the responses and assigns each an importance value of one. You can change the importance to allow some responses to have more influence on the composite desirability than other responses.

·    If you want more emphasis on a response, increase its importance relative to the other responses.

·    If you want less emphasis on a response, decrease its importance relative to the other responses.

Example Output

 

Solution

 

          Hours                            Clump  Discoloration

          Since                 Size of  defects        defects     Composite

Solution  Cleanse  Temperature  Screw        Fit            Fit  Desirability

1         0        80           small    5.66667        54.2279      0.429698

Interpretation

For the resin defect data, the highest desirability occurs when the variables are as follows:

·    Hours since cleanse is 0

·    Temperature is 80

·    Size of screw is small

The minimum prediction for discoloration defects is not at these settings, but these settings provide the best achievable values for both responses simultaneously. The composite desirability places equal importance on both responses.

 

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