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Re: testing statistical dfference between medians of a sample and a subsample extracted from the sample

Posted by Marta Garcia-Granero on Aug 22, 2012; 2:06pm
URL: http://spssx-discussion.165.s1.nabble.com/testing-statistical-dfference-between-medians-of-a-sample-and-a-subsample-extracted-from-the-sample-tp5714777p5714802.html

Hi Bruce:

El 22/08/2012 14:49, Bruce Weaver escribió:
> Thanks Marta.  Another good article on the same topic is Don Zimmerman's
> simulation study:
>
> http://www.tandfonline.com/doi/abs/10.1207/S15328031US0204_03
>
> Unfortunately, that journal is now defunct, so it can be difficult tracking
> down a PDF.  I managed to get one from a colleague at another university,
> where the library still had access to it.

I have been able to get a copy too using my University access to that
journal archives.

When I saw the name (Zimmerman) I realized that the paper I was trying
to remember (where Kruskal-Walis test was also discussed) was by
Zimmerman too (The Journal of General Psychology,  2000,127(4), 354-364
http://dx.doi.org/10.1080/00221300009598589). That narrowed the search
and I was able to find the copy inside the backup drive.

Thanks again and best regards,
Marta

>
> Cheers,
> Bruce
>
>
>
> Marta García-Granero-2 wrote
>> Hi:
>>
>> 1) Bruce, see also Anna Hart. "Mann-Whitnet test is not just a test of
>> medians: differences in spread can be important" (BMJ 2001;323:391-3). I
>> lost track of a reference that stated the same for Kruskal-Wallis test,
>> I'll try to dig it (to many files in my external hard disk).
>>
>> 2) Maybe vinikalra could compute a 95%CI for the median of the
>> subsample, and check if the full sample median is included within the
>> limits.
>>
>> Best regards,
>> Marta GG
>>
>> El 21/08/2012 23:32, Bruce Weaver escribió:
>>> I too was wondering why you wanted a test comparing medians.  People
>>> sometimes assume that the Wilcoxon-Mann-Whitney test (aka Mann-Whitney U)
>>> compares medians (as opposed to means).  But that is only true if the two
>>> populations being compared are identical apart from a shift in location.
>>> And in that case, the test could be said to be comparing means, medians,
>>> or
>>> any other percentile point you might choose.
>>>
>>> By the way, the WMW is quite sensitive to small differences in variance
>>> or
>>> skewness in the populations, which can cause it to reject H0 far too
>>> often
>>> when it is used purely as a test of differences in location.  See for
>>> example the nice article by Fagerland & Sandvik (2009).
>>>
>>> http://www.ncbi.nlm.nih.gov/pubmed/19247980
>>>
>>> HTH.
>>>
>>>
>>> Rich Ulrich-2 wrote
>>>> "Parametric" and "median" don't usually go together.  See (3)
>>>> for a possible meaning.  There are other problems.
>>>>
>>>> First - There is no such thing as a "proper" test for a sub-sample
>>>> versus the whole sample that it comes from.  The necessary logic
>>>> says that you compare a sub-sample to the *rest*  of the sample.
>>>>
>>>> You may occasionally see a good presentation that does use the
>>>> approximate tests of this sort, for convenience and ease, plus a
>>>> strong desire to accommodate Ns that are unequal.  For sub-samples
>>>> with equal Ns, you can use a simple Confidence Interval around the
>>>> overall mean.
>>>>
>>>> Second - Almost nobody actually, ever compares "medians".  That
>>>> description is less often accurate than it is an erroneous reference
>>>> to a test of ranks.
>>>>
>>>> Third - The most "non-parametric" way to put a Confidence Interval
>>>> around the median of a single sample (full sample, here?) is to
>>>> end up using ranks of scores in the sample to delimit the range.
>>>> For instance, for a sample of a certain N, the 40th and 60th centiles
>>>> might determine the scores to mark the 95% CI.  There is no strong
>>>> reason to expect that CI to be symmetrical around the median.  If
>>>> you wanted a "parametric" version of that, I suppose you would use
>>>> the SD to determine a range.  Do you want to pick out the samples
>>>> whose medians do not fall in that range?
>>>>
>>>> --
>>>> Rich Ulrich
>>>>
>>>>> Date: Tue, 21 Aug 2012 01:48:46 -0700
>>>>> From: vinikalra@
>>>>> Subject: testing statistical dfference between medians of a sample and
>>>>> a
>>>>> subsample extracted from the sample
>>>>> To: SPSSX-L@.UGA
>>>>>
>>>>> HI all !
>>>>>
>>>>> In a data analysis I am required to perform a statistical test
>>>>> (parametric)
>>>>> to know the statistical  difference(if significant) between median of 2
>>>>> sample where one is full sample and another is sub sample extracted
>>>>> from
>>>>> the
>>>>> full sample based on a given characteristics (e.g. respondents
>>>>> belonging
>>>>> to
>>>>> certain age group).
>>>>>
>>>>> Can anyone suggest how togo about it in spss ?
>>>>>
>>>>> regards
>>>> ...
>>>>
>>>
>>>
>>> -----
>>> --
>>> Bruce Weaver
>>> bweaver@
>>> http://sites.google.com/a/lakeheadu.ca/bweaver/
>>>
>>> "When all else fails, RTFM."
>>>
>>> NOTE: My Hotmail account is not monitored regularly.
>>> To send me an e-mail, please use the address shown above.
>>>
>>> --
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>
>
>
> -----
> --
> Bruce Weaver
> [hidden email]
> http://sites.google.com/a/lakeheadu.ca/bweaver/
>
> "When all else fails, RTFM."
>
> NOTE: My Hotmail account is not monitored regularly.
> To send me an e-mail, please use the address shown above.
>
> --
> View this message in context: http://spssx-discussion.1045642.n5.nabble.com/testing-statistical-dfference-between-medians-of-a-sample-and-a-subsample-extracted-from-the-sample-tp5714777p5714796.html
> Sent from the SPSSX Discussion mailing list archive at Nabble.com.
>
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