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PCA on high dimentional data

4 messages · mail me, stephen sefick, Mark Difford +1 more

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Hi:

I have a large dataset mydata, of 1000 rows and 1000 columns. The rows
have gene names and columns have condition names (cond1, cond2, cond3,
etc).

mydata<- read.table(file="c:/file1.mtx", header=TRUE, sep="")

I applied PCA as follows:

data_after_pca<- prcomp(mydata, retx=TRUE, center=TRUE, scale.=TRUE);

Now i get 1000 PCs and i choose first three PCs and make a new data frame

new_data_frame<- cbind(data_after_pca$x[,1], data_after_pca$x[,2],
data_after_pca$x[,3]);

After the PCA, in the new_data_frame, i loose the previous cond1,
cond2, cond3 labels, and instead have PC1, PC2, PC3 as column names.

My question is, is there any way I can map the PC1, PC2, PC3 to the
original conditions, so that i can still have a reference to original
condition labels after PCA?

Thanks:
deb
#
By doing PCA you are trying to find a lower dimensional representation 
of the major variation structure in your data.  You get PC* to represent 
the "new" data.  If you want to know what loads on the axes then you 
need to look at the loadings.  These are the link between the original 
data and the "new" data.  Maybe you need to read up on what PCA does?  
Or, maybe I am misunderstanding your question...
FWIW


Stephen
On Sat 10 Dec 2011 09:56:35 AM CST, mail me wrote:
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On Dec 10, 2011 at 5:56pm deb wrote:

            
deb,

To add to what Stephen has said. Best to do read up on principal component
analysis. Briefly, each PCA is composite variable, composed of different
"amounts" of each and every one of your column variables, i.e. cond1, ...,
cond1000.

So the short answer to your question is no. There is no way to do this
mapping, except as loadings on each principal component (PC).

Regards, Mark.

-----
Mark Difford (Ph.D.)
Research Associate
Botany Department
Nelson Mandela Metropolitan University
Port Elizabeth, South Africa
--
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#
... and adding to what has already been said, PCA can be distorted by
non-ellipsoidal distributions or small numbers of unusual values.
Careful (chiefly graphical) examination of results is therefore
essential, and usually fairly easy to do. There are robust/resistant
versions of PCA in R, but they come with their own issues. As you have
already been told, you need to do some homework -- or get some local
advice.

Also, you need to post on some other list, e.g.
stats.stackexchange.com, as you have wandered outside the realm of R
issues.

-- Bert
On Sat, Dec 10, 2011 at 10:40 AM, Mark Difford <mark_difford at yahoo.co.uk> wrote: