PCA - separation and variance

I have a multi-dimensional data set containing two different groups of
data I want to separate utilizing PCA. I observed (by eye) that a
certain set of variables gives me a good separation using the first
three PCs.
What is the correlation, if it at all exists, between the separation in
3D to the actual separation in the higher dimensioned plane? How does
the variance of the solution come into play? Can I say that the
separation on the higher dimensioned plane is as good as or perhaps
better/worse than the one in the 3D plane?

.

Relevant Pages

  • PCA - separation and variance
    ... I have a multi-dimensional data set containing two different groups of ... I observed (by eye) that a ... certain set of variables gives me a good separation using the first ... 3D to the actual separation in the higher dimensioned plane? ...
    (sci.stat.edu)
  • PCA - separation and variance
    ... I have a multi-dimensional data set containing two different groups of ... I observed (by eye) that a ... certain set of variables gives me a good separation using the first ... 3D to the actual separation in the higher dimensioned plane? ...
    (sci.stat.consult)
  • Re: PCA - separation and variance
    ... I observed (by eye) that a ... and that this clustering is detectable by some ... 3D to the actual separation in the higher dimensioned plane? ...
    (sci.stat.edu)
  • Re: PCA - separation and variance
    ... Use discriminant analysis here instead of PCA. ... Then you won't have to determine by eye which variables give you a good separation. ... 3D to the actual separation in the higher dimensioned plane? ...
    (sci.stat.consult)
  • Re: Magnification needed to split tight doubles
    ... Ras Al ~3.6" at 31X produces an apparent separation ... the two star images would need to fall onto separate cones/rods to be ... is around 2' with the full eye measuring 360 degrees? ... If I put on glasses I can see most of the stars I could see 40 years ago. ...
    (sci.astro.amateur)