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What’s Design Of Experiments – Full Factorial In Minitab?

DOE, or Design of Experiments is an active method of manipulating a process as opposed to passively observing a process.  DOE enables operators to evaluate the changes occurring in the output (Y Response,) of a process while changing one or more inputs (X Factors).

Learn more about Design Of Experiments – Full Factorial In Minitab in Improve Phase, Module 5.1.2. of Black Belt Training.

How To Run A Design Of Experiments – Full Factorial In Minitab In Minitab

1. Create the Factorial Design by going to Stat > DOE > Factorial > Create Factorial Design:

DOE-Minitab-FullFactorial

2. Next, ensure that [2-level factorial (default generator)] is selected

3. Input/Select 3] for the [Number of Factors]

4. Click on [Designs…]:

DOE-Minitab-FullFactorial-Design

5. Ensure that [1/2 fraction] is highlighted

6. Input/Select [3] for [Number of replicates for corner points]

7. Click OK:

DOE-Minitab-FullFactorial-Design-2

8. Select [Options] and un-check [Randomize runs], make sure [Store design in worksheet is checked]

9. Click OK:

DOE-Minitab-FullFactorial-3-Options

10. Select [Factors] and the dialog box below will show-up; load in the factor names and level settings

11. Click OK:

DOE-Minitab-FullFactorial-4-Factors

Minitab will create a worksheet containing the DOE array:

DOE-Minitab-FullFactorial-5-Array

The first blank column in the worksheet (here C8) is reserved for the Response values

After running all of the experimental runs enter the results in to the worksheet:

DOE-Minitab-FullFactorial-6-Worksheet

The second series of steps allow us to analyze the results as well as produce the charts and graphs that help us communicate our results.

12. Go to Stat > DOE > Factorial > Analyze Factorial Design:

DOE-Minitab-FullFactorial-7-Analyze

13. Enter the column (here C7) that contains the response in the open window called Responses (or just double-click on C7 in the left box)

14. Then click on [Terms…]:

DOE-Minitab-FullFactorial-8-Terms

15. Select the terms you want in the model (in our case we want all three factors)

16. Either double click on the term or use the [>] between the windows

17. Then click OK:

DOE-Minitab-FullFactorial-9-Terms

18. This time select [Graphs…]

19. Select/Check [Pareto]

20. Click OK:

DOE-Minitab-FullFactorial-10-Pareto

The following Pareto chart of the results is very effective in communicating the experimental outcomes:

DOE-Minitab-FullFactorial-11-Chart

The details behind the analysis will be contained in the Minitab Worksheet.

This is the ANOVA table for the experiment:

DOE-Minitab-FullFactorial-12-Output

Learn more about Design Of Experiments – Full Factorial In Minitab in Improve Phase, Module 5.1.2 of Black Belt Training.