Thank you very much for that.

What is then if I have unpaired and unbalanced samples?

Best regards,
Cheba

2010/5/7 Bert Gunter <gunter.ber...@gene.com>

> Perhaps this might help clarify:
>
> sample A:   10   15   20
> sample B:   12   15   22
>
> Median of sample A = 15; median of sample B = 15. Sample medians are =.
> But: B-A differences are 2,0,2 with a median of 2. So the median difference
> does not equal the difference of the medians.
>
> Clarity in what you wish to test (and why!) is essential to determine how.
>
>
> Bert Gunter
> Genentech Nonclinical Statistics
>
> -----Original Message-----
> From: r-help-boun...@r-project.org [mailto:r-help-boun...@r-project.org]
> On
> Behalf Of cheba meier
> Sent: Friday, May 07, 2010 12:46 PM
> To: Joris Meys
> Cc: R-help@r-project.org; Thomas Lumley
> Subject: Re: [R] median of two groups
>
> Hi all,
>
> Thank you for your reply.
>
> if done properly! What does this mean? The R-code I have is using the
> R-function sample without replacement. Am I doing this properly?
>
> median of the differences is zero! Does this mean if I run 1000 permutation
> and for each permutation I compute the median difference and as a result I
> have 1000 differences. Is the the H0: median(1000 differences) =0? If yes,
> which conclusion one would have from this H0?
>
> Best wishes,
> Cheba
>
>
>
> 2010/5/7 Joris Meys <jorism...@gmail.com>
>
> > depends on how you interprete "absolute median difference". Is that the
> > absolute difference of the medians, or the median of the absolute
> > differences. Probably the latter one, so you would be right. If it's the
> > former one, then it is testing whether the difference of the medians is
> > zero.
> >
> > Cheers
> > Joris
> >
> >
> > On Fri, May 7, 2010 at 6:52 PM, Thomas Lumley
> <tlum...@u.washington.edu>wrote:
> >
> >> On Fri, 7 May 2010, cheba meier wrote:
> >>
> >>  Dear Thomas,
> >>>
> >>> I have been running simulations in order me to understand this problem!
> I
> >>> have found something online where the absolute median difference is
> >>> computed
> >>> and permutations are ran to compute a p-value. Is such a test (if I can
> >>> call
> >>> it a test) tests the null hypothesis that median group 1 = median group
> >>> 2?
> >>>
> >>
> >> No, that is testing whether the median of the differences is zero.  This
> >> is not the same as testing whether the difference of the medians is
> zero.
> >>
> >>    -thomas
> >>
> >>
> >>
> >>  Thank you in advance for your help.
> >>>
> >>> Regards,
> >>> Cheba
> >>>
> >>> 2010/4/6 Thomas Lumley <tlum...@u.washington.edu>
> >>>
> >>>
> >>>>
> >>>> None of them.
> >>>>
> >>>>  - mood.test() looks promising until you read the help page and see
> that
> >>>> it
> >>>> does not do Mood's test for equality of quantiles, it does Mood's test
> >>>> for
> >>>> equality of scale parameters.
> >>>>  - wilcox.test() is not a test for equal medians
> >>>>  - ks.test() is not a test for equal medians.
> >>>>
> >>>>
> >>>> Mood's test for the median involves dichotomizing the data at the
> pooled
> >>>> median and then doing Fisher's exact test to see if the binary
> variable
> >>>> has
> >>>> the same mean in the two samples.
> >>>>
> >>>> median.test<-function(x,y){
> >>>>  z<-c(x,y)
> >>>>  g <- rep(1:2, c(length(x),length(y)))
> >>>>  m<-median(z)
> >>>>  fisher.test(z<m,g)$p.value
> >>>> }
> >>>>
> >>>> Like most exact tests, it is quite conservative at small sample sizes.
> >>>>
> >>>>    -thomas
> >>>>
> >>>>
> >>>> On Tue, 6 Apr 2010, cheba meier wrote:
> >>>>
> >>>>  Dear all,
> >>>>
> >>>>>
> >>>>> What is the right test to test whether the median of two groups are
> >>>>> statistically significant? Is it the wilcox.test, mood.test or the
> >>>>> ks.test?
> >>>>> In the text book I have got there is explanation for the Wilcoxon
> (Mann
> >>>>> Whitney) test which tests ob the two variable are from the same
> >>>>> population
> >>>>> and also ks.test!
> >>>>>
> >>>>> Regards,
> >>>>> Cheba
> >>>>>
> >>>>>       [[alternative HTML version deleted]]
> >>>>>
> >>>>> ______________________________________________
> >>>>> R-help@r-project.org mailing list
> >>>>> https://stat.ethz.ch/mailman/listinfo/r-help
> >>>>> PLEASE do read the posting guide
> >>>>> http://www.R-project.org/posting-guide.html
> >>>>> and provide commented, minimal, self-contained, reproducible code.
> >>>>>
> >>>>>
> >>>>>  Thomas Lumley                   Assoc. Professor, Biostatistics
> >>>> tlum...@u.washington.edu        University of Washington, Seattle
> >>>>
> >>>>
> >>>>
> >>>        [[alternative HTML version deleted]]
> >>>
> >>> ______________________________________________
> >>> R-help@r-project.org mailing list
> >>> https://stat.ethz.ch/mailman/listinfo/r-help
> >>> PLEASE do read the posting guide
> >>> http://www.R-project.org/posting-guide.html
> >>> and provide commented, minimal, self-contained, reproducible code.
> >>>
> >>>
> >> Thomas Lumley                   Assoc. Professor, Biostatistics
> >> tlum...@u.washington.edu        University of Washington, Seattle
> >>
> >> ______________________________________________
> >> R-help@r-project.org mailing list
> >> https://stat.ethz.ch/mailman/listinfo/r-help
> >> PLEASE do read the posting guide
> >> http://www.R-project.org/posting-guide.html
> >> and provide commented, minimal, self-contained, reproducible code.
> >>
> >
> >
> >
> > --
> > Joris Meys
> > Statistical Consultant
> >
> > Ghent University
> > Faculty of Bioscience Engineering
> > Department of Applied mathematics, biometrics and process control
> >
> > Coupure Links 653
> > B-9000 Gent
> >
> > tel : +32 9 264 59 87
> > joris.m...@ugent.be
> > -------------------------------
> > Disclaimer : http://helpdesk.ugent.be/e-maildisclaimer.php
> >
>
>        [[alternative HTML version deleted]]
>
> ______________________________________________
> R-help@r-project.org mailing list
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> PLEASE do read the posting guide
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>
>

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