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  • Bonferroni correction

    Hi everyone, I'm comparing for a summary statistic analysis a bunch of variables among 5 groups. All are categorical variables, so in the table1 are displayed p values from chi2 test. Nonetheless, for a such a number of groups, I think it would be more correct to "adjust" the p values by using a Bonferroni correction. Am I right? If I correctly understood how the correction works, I can simply multiply p values * 5 so my new alpha cutoff will be:0,05*5 = < 0,25. The p value that I obtained are significant if irrespective of Bonferroni correction are still below the "true" alpha of 0,05, right?

    Thank you everyone.

  • #2
    Hello Paolo. What is the context? You mentioned "Table 1", which makes me wonder if some multivariable analysis comes later, and if the so-called "Table 1 fallacy" is relevant. Thanks for providing more info.

    PS- If some kind of correction for multiplicity is really needed, I think you can find a method that is far less conservative than a Bonferroni correction. Bonferroni-Holm, for example.
    --
    Bruce Weaver
    Email: [email protected]
    Web: http://sites.google.com/a/lakeheadu.ca/bweaver/
    Version: Stata/MP 18.0 (Windows)

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    • #3
      if by "Table 1" you are referring to a table of descriptive statistics, then I would argue that a multiple comparisons correction is not only not needed, it is not even desirable

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      • #4
        Bruce: by table 1 I mean the table of summary statistic presented at the beginning of an analysis. Thank you for replying me

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        • #5
          Paolo:
          in addition to previous helpful replies, please note that summary statistics are usually descriptive (so, no p-value and related stuff).
          That said, if you want to go inferentilal, and you have, sa, 5 multiple comparison at your arbitrary cut-off is 0.05, you should diveide it by 5 (0.05/5=0.01). Every resulting p-value<0.01 shows that the result of your comparison reaches statistical significance at 0.05.
          Kind regards,
          Carlo
          (StataNow 18.5)

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          • #6
            In addition to the very helpful response, you may want to check out

            Code:
            ssc install rwolf2

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