Dxy is a U-statistic.  In the U-statistic literature there is a combinatoric
approach to estimating variances, requiring one to examine all possible
pairs of observations.  The general formula I use is a bit messy.  You can
look at the Fortran code that comes with the Hmisc package to see the
algorithm.
Frank


vikkiyft wrote:
> 
> Thanks for your reply Prof Harrell!!
> 
> Could you kindly list some references of the fomula for calculating the SD
> of Somer's D in this kind of application? Because I couldnt find any..
> 


-----
Frank Harrell
Department of Biostatistics, Vanderbilt University
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