[R] stratified Wilcoxon available?

Heinz Tuechler tuechler at gmx.at
Mon Aug 29 10:37:31 CEST 2005


At 19:02 28.08.2005 -0700, Thomas Lumley wrote:
>On Sun, 28 Aug 2005, Heinz Tuechler wrote:
>
>> Thanks to Peter Dalgaard and Frank Harrell for your answers. Fortunately I
>> don't have an urgent need for this test, but it may be in the future.
>> Still I would be grateful if someone could comment on my opinion that using
>> survdiff and regarding all the measures as events would lead to an
>> equivalent test.
>
>In the absence of ties, yes.   In the presence of ties I think survdiff() 
>does something slightly different from what would be usual for the 
>Wilcoxon test.  This would matter only with many tied observations.
>
> 	-thomas
>

Thank you, Thomas, for this information.

Heinz

>
>
>>
>> Thanks,
>>
>> Heinz Tüchler
>>
>> At 15:18 28.08.2005 -0500, Frank E Harrell Jr wrote:
>>> Peter Dalgaard wrote:
>>>> Heinz Tuechler <tuechler at gmx.at> writes:
>>>>
>>>>
>>>>> Dear All,
>>>>>
>>>>> is there a stratified version of the Wilcoxon test (also known as van
>>>>> Elteren test) available in R?
>>>>> I could find it in the survdiff function of the survival package for
>>>>> censored data. I think, it should be possible to use this function
creating
>>>>> a dummy censoring indicator and setting it to not censored, but may be
>>>>> there is a better way to perform the test.
>>>>
>>>>
>>>> Not easily, I think. I played with the stratified Kruskal Wallis test
>>>> (which is the same thing for larger values of 2...) with a grad
>>>> student some years ago, but we never got it integrated as an "official"
>>>> R function.
>>>>
>>>> It was not massively hard to code, as I recall it. Basically, you
>>>> convert observations to within-stratum ranks, scaled so that the
>>>> scores have similar variance (this is crucial: just adding the
>>>> per-stratum rank sums won't work). You can then get the relevant SSD
>>>> from lm(), by comparing the models "r ~ group + strata" and "r ~
>>>> strata". This SSD can be looked up as a chi-square statistic, possibly
>>>> after applying a scale factor which I have forgotten.... (I.e. do your
>>>> own math, don't trust me!)
>>>>
>>>
>>> You might think of such a stratified test as part of a proportional odds
>>> model with adjustment for strata as main effects.  The Wilcoxon tests is
>>>  a special case of the PO model.  You can fit it with polr or lrm.
>>>
>>> --
>>> Frank E Harrell Jr   Professor and Chair           School of Medicine
>>>                      Department of Biostatistics   Vanderbilt University
>>>
>>>
>>
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>
>Thomas Lumley			Assoc. Professor, Biostatistics
>tlumley at u.washington.edu	University of Washington, Seattle




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