# Design of Experiments Main Effects Question

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- This topic has 1 reply, 2 voices, and was last updated 10 months ago by Robert Butler.

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- May 3, 2019 at 2:12 pm #238885

Hector.RasconParticipant@Hector.Rascon**Include @Hector.Rascon in your post and this person will**

be notified via email.Hello All, I would like to ask you for help on this problem.

If I have the following DOE array:

`A B Response`

-1 -1 5

1 -1 25

-1 1 15

1 1 35What would be the main effect for factors A and B (and why)?

Best Regards.

0May 3, 2019 at 4:29 pm #238892

Robert ButlerParticipant@rbutler**Include @rbutler in your post and this person will**

be notified via email.This looks like a homework problem so rather than just give you the answers – let’s think about how you would go about addressing your questions.

Question 1: How do you determine the average effect of A?

Question 2: How do you determine the average effect of B?

Question 3: If you have the average effect of A – what is another term for that average?

Question 4: If you have the average effect of B – what is another term for that average?

Question 5: How do you know that your average effect of A is independent of your estimate of your average effect of B?

Question 6. If you wanted to know the effect of the interaction AxB what would you do to your design matrix to generate the column for AxB?

Question 7: Given the column for AxB how would you determine its average effect?

Question 8: What is another term for the average effect of AxB?If you can answer these questions you will not only have the answers to the questions you have asked but you will have an excellent understanding of the power of experimental design methods over any other kind of approach to assessing a process.

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