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On Tue, Aug 24, 2021 at 10:39 AM David Swanepoel
<davidswanep...@hotmail.com> wrote:
>
> Dear R Core Dev Team, I hope all is well your side!
> My apologies if this is not the correct point of contact to use to address 
> this. If not, kindly advise or forward my request to the relevant 
> team/persons.
>
> I have a query regarding the 'Hochberg' method of the stats/p.adjust R 
> package and hope you can assist me please. I have attached the data I used in 
> Excel, which are lists of p-values for two different tests (Hardy Weinberg 
> Equilibrium and Linkage Disequilibrium) for four population groups.
>
> The basis of my concern is a discrepancy specifically between the Hochberg 
> correction applied by four different R packages and the results of the 
> Hochberg correction by the online tool, 
> MultipleTesting.com<http://www.multipletesting.com/>.
>
> Using the below R packages/functions, I ran multiple test correction (MTC) 
> adjustments for the p-values listed in my dataset. All R packages below 
> agreed with each other regarding the 'significance' of the p-values for the 
> Hochberg adjustment.
>
>
>   *   stats/p.adjust (method: Hochberg)
>   *   mutoss/hochberg
>   *   multtest/mt.rawp2adjp (procedure: Hochberg)
>   *   elitism/mtp (method: Hochberg)
>
> In checking the same values on the MultipleTesting.com, more p-values were 
> flagged as significant for both the HWE and LD results across all four 
> populations. I show these differences in the Excel sheet attached.
> Essentially, using the R packages, only the first HWE p-value of Pop2 is 
> significant at an alpha of 0.05. Using the MT.com tool, however, multiple 
> p-values are shown to be significant across both tests with the Hochberg 
> correction (the highlighted cells in the Excel sheet).
>
>
> I asked the authors of MT.com about this, and they gave the following 
> response:
>
> "we have checked the issue, and we believe the computation by our page is 
> correct (I cannot give opinion about the other packages).
> When we look on the original Hochberg paper, and we only use the very first 
> (smallest) p value, then m"=1, thus, according to the equation in the 
> Hochberg 1988 paper, in this case practically there is no further correction 
> necessary.
> In other words, in case the *smallest* p value is smaller than alpha, then 
> the *smallest* p value will remain significant irrespective of the other p 
> values when we make the Hochberg correction."
>
> I have attached the Hochberg paper here but, unfortunately, I don't 
> understand enough of the stats to verify this. I have applied their logic on 
> the same Excel sheet under the section "MT.com explanation", which shows why 
> they consider the highlighted values significant.
>
> I have also attached the 2 R files that I used to do the MTC runs and they 
> can be run as is. They are just quite long as they contain many of the other 
> MTC methods in the different packages too.
>
> Kindly provide your thoughts as to whether you agree with this interpretation 
> of the Hochberg paper or not? I would like to see concordance between the 
> MT.com tool and the different R packages above (or understand why they are 
> different), so that I can be more confident in the explanations of my own 
> results as a stats layman.
>
> I hope this makes sense. Please let me know if I need to clarify anything.
>
>
> Many thanks and kind regards,
> David
> ______________________________________________
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