Hi,
If center=T (by default) in invoking prcomp, that is, prcomp (x) where x is a
matrix with the observations are in rows and the variables are in column, is
this equivalent to scale(t(x),center=T,scale=F)?where?x is a matrix with?the
observations are in rows and the variables are in columns?
Additionally, could you advise when the variables should mean centered (center =
T in prcomp) before the application of PCA? According to the documentation of
prcomp, the variables and I assume not the observations are mean-centered if
center = T.?
I have a discrete data containing 0, 1 and 2. Should I mean center the
variables?(center = T in prcomp)? See the histogram in attachment. When I
don't mean center, the first PC captures 91% of variability. and when I mean
center, the first PC captures 1% of variability, see the proportion of
variation:
non-mean centered variables:
? ? ? ? ? ? ? ? ? ? ? ? ? ? ?PC1 ? ? ?PC2 ? ? ?PC3
Standard deviation ? ? 259.42437 11.12854 6.865225
Proportion of Variance ? 0.91282 ?0.00168 0.000640
Cumulative Proportion ? ?0.91282 ?0.91450 0.915140
mean-centered variables:
? ? ? ? ? ? ? ? ? ? ? ? ? ? PC1 ? ? ?PC2 ? ? PC3
Standard deviation ? ? 11.30053 6.870346 5.64987
Proportion of Variance ?0.01985 0.007340 0.00496
Cumulative Proportion ? 0.01985 0.027190 0.03215
Thanks in advance,
Carol
