Loadings of relations of two amounts
In a compositional dataset the relation of two objects can be interpreted safer than a single amount. These functions compute, display and plot the corresponding pair-information for the various principal component analysis results.
relativeLoadings(x,...) ## S3 method for class 'princomp.acomp' relativeLoadings(x,...,log=FALSE,scale.sdev=NA, cutoff=0.1) ## S3 method for class 'princomp.aplus' relativeLoadings(x,...,log=FALSE,scale.sdev=NA, cutoff=0.1) ## S3 method for class 'princomp.rcomp' relativeLoadings(x,...,scale.sdev=NA, cutoff=0.1) ## S3 method for class 'princomp.rplus' relativeLoadings(x,...,scale.sdev=NA, cutoff=0.1) ## S3 method for class 'relativeLoadings.princomp.acomp' print(x,...,cutoff=attr(x,"cutoff"), digits=2) ## S3 method for class 'relativeLoadings.princomp.aplus' print(x,...,cutoff=attr(x,"cutoff"), digits=2) ## S3 method for class 'relativeLoadings.princomp.rcomp' print(x,...,cutoff=attr(x,"cutoff"), digits=2) ## S3 method for class 'relativeLoadings.princomp.rplus' print(x,...,cutoff=attr(x,"cutoff"), digits=2) ## S3 method for class 'relativeLoadings.princomp.acomp' plot(x,...) ## S3 method for class 'relativeLoadings.princomp.aplus' plot(x,...) ## S3 method for class 'relativeLoadings.princomp.rcomp' plot(x,...) ## S3 method for class 'relativeLoadings.princomp.rplus' plot(x,...)
x |
a result from an amount PCA |
log |
a logical indicating to use log-ratios instead of ratios |
scale.sdev |
if not |
cutoff |
a single number. Changes under that (log)-cutoff are not displayed |
digits |
the number of digits to be displayed |
... |
further parameters to internally-called functions |
The relative loadings of components allow a direct interpretation of the effects of principal components. For acomp/aplus classes the relation is induced by a ratio, which can optionally be log-transformed. For the rcomp/rplus-classes the relation is induced by a difference, which is meaningless when the units are different.
The value is a matrix of type
"relativeLoadings.princomp.*"
, containing the ratios in the
compositions represented by the loadings (optionally scaled by the
standard deviation of the components and scale.sdev
).
K.Gerald v.d. Boogaart http://www.stat.boogaart.de
data(SimulatedAmounts) pc <- princomp(acomp(sa.lognormals5)) pc summary(pc) relativeLoadings(pc,log=TRUE) relativeLoadings(pc) relativeLoadings(pc,scale.sdev=1) relativeLoadings(pc,scale.sdev=2) plot(relativeLoadings(pc,log=TRUE)) plot(relativeLoadings(pc)) plot(relativeLoadings(pc,scale.sdev=1)) plot(relativeLoadings(pc,scale.sdev=2))
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