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Ellipse in PCA with parameters "a" and "b"defined.

5 messages · Jim Lemon, David L Carlson, mary

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Hi,
I have to construct an ellipse interval region on a PCAbiplot, I have my
parameters "a" and "b" and I would apply the formula:

draw.ellipse(x, y, a = , b = )

I have done a PCA on my data so I have my scores and loading for the first
and second component, but my answer is what I have to choose as X and Y into
the formula? 
if "a" and "b" are scalars or vectors should be x and y scalars or vectors
too?

Thanks
Mary



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On 01/22/2013 11:12 AM, mary wrote:
Hi Mary,
If this is draw.ellipse from the plotrix package, there should be an x 
and y corresponding to each pair of a and b. I was unable to work out 
which PCA biplot function you are using, so I am not sure whether the 
plots are drawn in base graphics. If not, you might have some problems 
with the x and y coordinates.

Jim
#
Ok...
so, in my model my "a"  is built using the standard deviation of the first
principal component and "b" with the second, so my "x" and "Y" should be :
 PCA $ scores [, 1], PCA $ scores [, 2] 
but in this way I do not get out a confidence interval set on my parameters
but many ellipses.

Thanks 
Mary



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#
Try x <- mean(PCA$scores[,1]) and y <- mean(PCA$scores[,2]) which should be
the same as x <- 0, y <- 0 within rounding error.

----------------------------------------------
David L Carlson
Associate Professor of Anthropology
Texas A&M University
College Station, TX 77843-4352