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Can You Do a Design of Experiments with Different Levels for Different Factors?

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This topic contains 13 replies, has 8 voices, and was last updated by  Chris Seider 5 days, 18 hours ago.

Viewing 14 posts - 1 through 14 (of 14 total)
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  • January 8, 2019 at 9:08 am #211373

    Tino Volpe
    Participant

    I am trying to create a DOE with 2 factors, one factor having 2 levels and one factor having 3 levels. Is this possible. I’m pretty sure it can be done but I can’t figure out how.

    Thanks

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    January 8, 2019 at 11:04 am #211375

    Chris Seider
    Participant

    By definition it’s not a factorial design that you’ve described. IF the 2nd of 3 levels for the 2nd factor is the “middle” setting of a machine or something, AND YOU INSIST ON LOOKING AT ALL 3, consider using the centerpoint approach for both factors. Highly depends on difficulty and expense to get the experimental runs.

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    January 8, 2019 at 11:48 am #211377

    Robert Butler
    Participant

    Sure, it’s a 2 x 3 design

    Experiment Factor A Factor B
    1 -1 -1
    2 1 -1
    3 -1 0
    4 1 0
    5 -1 1
    6 1 1

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    January 8, 2019 at 11:50 am #211378

    Robert Butler
    Participant

    Well, that’s just peachy. What you type isn’t what gets posted. Copy the design with headings into a word document and re-insert the appropriate blanks – you should have 3 columns, experimental number, levels for factor A and levels for factor B.

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    January 8, 2019 at 5:20 pm #211389

    Robert Butler
    Participant

    Thanks Katie(?), for correcting the design display on my first post. You can remove the second one if you wish.

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    January 8, 2019 at 5:33 pm #211390

    Michael Cyger
    Keymaster

    @rbutler: I fixed the formatting in your previous post so columns are displayed. Sorry for the trouble.

    When content is posted that relies on spaces to display columns, please do the following:
    1. Click the “code” button
    2. Paste the table that is formatted with spaces
    3. Click the “code button again

    This wraps the content in formatting that properly maintains the width of characters.

    Sorry to get off topic. Back to the DOE discussions! :)

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    January 8, 2019 at 5:39 pm #211391

    Robert Butler
    Participant

    Thanks Mike

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    January 8, 2019 at 6:00 pm #211392

    Katie Barry
    Keymaster

    @rbutler – This exceeded my technical smarts, so I brought in Mike. :) Glad we were able to help!

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    January 8, 2019 at 9:48 pm #211408

    Mike Carnell
    Participant

    Katie I think it is great you bring Michael every now and then. It keeps him occupied.

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    January 9, 2019 at 7:34 am #211414

    Tino Volpe
    Participant

    thanks Robert. Can this be setup in Minitab 18?

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    January 9, 2019 at 12:45 pm #211432

    Robert Butler
    Participant

    I don’t understand what you mean by “setup in Minitab 18.” The six point design is all there is and it would just be a matter of building the appropriate spreadsheet for the X’s and Y responses. If you go with just the six points you can build a model where Y is a function of A, B, AB, and B*B. If you toss in a single replicate of one of the design points you could also check A*B*B.

    You would reduce the model to just the significant terms in the usual way – first plot the data and see what you see, run backward elimination and forward selection with replacement regression and check the final model using residual analysis. If all is well then you would confirm the validity of the final reduced model by using it to make predictions with certain combinations of A and B, run those combinations, and see if your final result was inside the prediction error limits associated with your prediction.

    If you have more than one Y you would follow the above procedure for each of them and then you would use all of the equations together to predict a couple of optimum conditions (these will most likely be trade offs – most of the time you can’t get all of the Y responses simultaneously at their optimum level for a given level of A and B) and you would test the predictions in the same manner as above.

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    January 10, 2019 at 2:18 pm #211450

    Jennifer Atlas
    Participant

    Hello Tino,

    To answer your question, you can do this in Minitab Statistical Software. Go to Stat-DOE-Factorial-Create Factorial Design. Choose General Full Factorial, then when you select Design you can specify the number of levels for the different factors.

    Minitab Technical Support is available to answer questions like this- https://www.minitab.com/en-us/contact-us/

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    January 14, 2019 at 12:55 pm #235307

    Chris Butterworth
    Participant

    Hi Tino,

    Get a copy of Design and Analysis of Experiments by Douglas Montgomery. Chapter 5 will introduce you to factorial designs with some very good examples. What you are asking about is rather straightforward and well-explained in Montgomery’s book.

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    January 15, 2019 at 12:25 am #235322

    Chris Seider
    Participant

    Don’t interpret my comment that you have to do a factorial design but checking for linearity is powerful depending on the needs.

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