On Aug 12, 2013, at 10:26 , Ulrike Grömping wrote:

> Dear expeRts,
> 
> I previously posted this message to R-help and did not get a response, 
> therefore I now try here, with a few additional system details added.
> 
> I have run some simulations under R 2.15.1 on a Mac (OS X, 10.6.8), and I 
> have rerun a sample of them under R 3.0.1 on Windows 7 (and also for 
> comparison under R2.14.1 on Windows XP). For most cases, I get exactly the 
> same results in all three runs. However, for those cases that depend on 
> principal components computed with prcomp, where the particular choice of the 
> orthogonalization is arbitrary because of several identical singular values, 
> I get different results between the two Windows versions on the one hand and 
> the Mac version on the other hand. I did not find anything documented about 
> the difference; maybe I didn't know where to look. Can someone help me 
> understand the reason?

What did you expect? There is nothing in the SVD algorithm to select a solution 
which satisfies some auxiliary criterion that makes it unique.

When the orthogonalization is arbitrary, the particular solution that you get 
may depend on rounding error and other low-level details of the algorithm. A 
change of machine/os/compiler/etc. may give you a different result. 

> 
> Best, Ulrike
> 
> ______________________________________________
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-- 
Peter Dalgaard, Professor
Center for Statistics, Copenhagen Business School
Solbjerg Plads 3, 2000 Frederiksberg, Denmark
Phone: (+45)38153501
Email: pd....@cbs.dk  Priv: pda...@gmail.com

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