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  • Compare "n" size between 3 groups

    Need some help. I have 3 groups of student that perform a test (to which I have the final score for each student). But the 3 groups have different n size:
    A = 43 students
    B = 79 students
    C = 36 students

    I need to see if the group size are comparable but I am not sure what test to perform? I want to see afterwards if there is difference in the mean score (performing for example a oneway ANOVA).

    Could some help me with what test to use to de different "n" size between groups
    THANKS!
    ​DANIELA

  • #2
    Maybe the Interocular Trauma Test? The size of B is equal to that of A and C combined.

    I believe that the validity of one-way ANOVA doesn't depend upon group sizes, per se, as an index of comparability. The flip side of the same coin: even if all three groups had the same count, it wouldn't necessarily mean that one-way ANOVA would be valid.

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    • #3
      what is your null hypothesis - that the n's are equal? regardless, there are user-written chi-squared goodness of fit tests; use "search" for "gof" or for "mgof"; note that if your real interest is an anova on the means, the "equality" of the n's is, here, not very relevant (unless the variances are very different); you may want to look at the literature on the robustness of anova (there is a lot of such lit)

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      • #4
        Daniela:
        What about the group-specific score variances? Are they similar or not?
        As an aside, please note that there's nothing that -one way anova- can do that -regress- can't do even better.
        Last edited by Carlo Lazzaro; 02 Apr 2016, 05:38.
        Kind regards,
        Carlo
        (Stata 19.0)

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