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Thread: which type of ANOVA to choose

  1. #1
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    which type of ANOVA to choose

    I'm doing a study about the correlation between working memory and math grades for students. And I have to do a one-way ANOVA test (or some other ANOVA?).


    I already have the math grades, but the working memory score I have to calculate from a working memory test. The test is performed by having the participants doing the same test with the same test conditions 4 times.


    My question is: what's the best/correct way to calculate the working memory scores for the ANOVA test? As I see it there are 2 choices:


    1) Take the average of the 4 tests, for every participants and use that value for my working memory score in my ANOVA test.
    2) Regard all four tests are done by 4 different participants. Then I use all the values instead of the average.


    Or should I have a completely different approach such as repeated measures ANOVA, ANOVA with replication etc...?
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  2. #2
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    Re: which type of ANOVA to choose

    Repeated measures ANOVA is only appropriate if either there are different conditions under which a student takes each of his/her four tests OR if you are investigating the changes in mean scores over four time periods. Neither case applies to your study, so repeated measures ANOVA is inappropriate.

    Replications are used when you have 2 or more populations and 2 or more treatments, and you are interested in the significance of a potential interaction. This is also not your study.

    Out of choices (1) and (2) that you offer, choice (2) is not good because you are violating the assumption of independence. As such, I would recommend choice (1): take the average of the four tests for each participant, and use the average for your working memory score.
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