# Help Setting Up and Analyzing 3 Factor 2 Level Full Factorial Design for DOE

#### PeterLe

##### Involved In Discussions
Hello everyone! I'm hoping to get some assistance with analyzing a DOE I conducted. I'm a total newbie when it comes to minitab and it's actually my first time using this.

I have 3 factors: RPM level, Nozzle size and Pressure. My output variable is force.

So I got stat-->DOE and create a factorial design. I have no clue what else to input besides changing the number of factors from 2 to 3 and also creating the factors but I have left them as -1 and 1 which the factors above. Should I use numeric, for example typing down the exact case for -1 for pressure? Also I select full factorial design. After this, I'll select "OK."

So after, this I have my output variable as force and I type in my results (attached picture).

Then I'll go: stat --> DOE --> Analyze factorial design. Then I'll type in 'Force (N)' then I'll click okay and I get the results (attached as well). Is this the right output? I'm also not very familiar with what the results say. So I'm befuddled!

Also, I also measured my nominal, how would I incorporate it into my analysis?

Any help would be greatly appreciated!

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#### Miner

##### Forum Moderator
Staff member
It is acceptable to retain the coded levels of -1 and 1. If you are only trying to determine what factors are significant and to determine directionality that is sufficient. If you intent to use the final model to make predictions, you must remember that the model applies to the coded levels, not the natural levels.

The results are typical for a saturated design. That is, a design with only one replicate and all possible factors still in the model. There are two possible steps forward.

One would be to repeat the experiment as a second block. That will allow you to analyze all possible terms, including the three way interaction.

The second approach is to remove the three way interaction from the model. Three way interactions are extremely rare for electro-mechanical systems and are of little practical value even if significant. This is not the case for chemical systems. Removing the three way interaction will allow you to evaluate the remaining terms in the model by providing a p-value for each.

Regarding the nominal, if this is the 0 level for all three factors, this can be included in the design as a center point. This will allow you to test for possible curvature.

#### Miner

##### Forum Moderator
Staff member
I analyzed the data that you attached and attached my analysis below. The interaction between RPM and Pressure was significant. I also created a second worksheet that is formatted to allow you to enter the data for a Center Point (all values at level 0). This worksheet has already been defined as a Custom Design, so you should be able to enter the data and begin analysis.

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#### PeterLe

##### Involved In Discussions
Thank you Miner! I really appreciate all the help you put in. Your input has helped me a lot. I'm still learning more and more about minitab and learning how to do a DOE.

Again, I really appreciate the help and if anything I'll post more if I have questions!

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