compositions (version 0.9-11)

qqnorm: Normal quantile plots for compositions and amounts

Description

The plots allow to check the normal distribution of multiple univaritate marginals by normal-quantile-quantile plots. For the different interpretations of amount data a different type of normality is assumed and checked. When an alpha-level is given the marginal displayed in each panel is checked for normality.

Usage

## S3 method for class 'acomp':
qqnorm(y,fak=NULL,...,panel=vp.qqnorm,alpha=NULL)
## S3 method for class 'rcomp':
qqnorm(y,fak=NULL,...,panel=vp.qqnorm,alpha=NULL)
## S3 method for class 'aplus':
qqnorm(y,fak=NULL,...,panel=vp.qqnorm,alpha=NULL)
## S3 method for class 'rplus':
qqnorm(y,fak=NULL,...,panel=vp.qqnorm,alpha=NULL)
vp.qqnorm(x,y,...,alpha=NULL)

Arguments

y

a dataset

fak

a factor to split the dataset, not yet implemented in aplus and rplus

panel

the panel function to be used or a list of multiple panel functions

alpha

The alpha level of a test for normality to be performed for each of the displayed marginals. The levels are adjusted for multiple testing with a Bonferroni-correction (i.e. dividing each of the the alpha-level by the number of test performed)

...

further graphical parameters

x

used by pairs only

Details

qqnorm.rplus and qqnorm.rcomp displays qqnorm-plots of individual amounts (on the diagonal), of pairwise differences of amounts (above the diagonal) and of pairwise sums of amounts (below the diagonal). qqnorm.aplus displays qqnorm-plots of individual log-amounts (on the diagonal), of pairwise log-rations of amounts (above the diagonal) and of pairwise sums of log amount (below the diagonal). qqnorm.aplus displays qqnorm-plots of pairwise log-ratios of amounts in all of diagonal panels. Nothing is displayed on the diagonal. In all cases a joint normality of the original data in the selected framework would imply normality in all displayed marginal distributions. The marginal normality can be checked in each of the plots using a shapiro.test, by specifying an alpha level. The alpha level are corrected for multiple testing. Plots displaying a marginal distribution significantly deviating from a normal distribution are marked by a red exclamation mark. vp.qqnorm is used as a panel function to make high dimensional plots.

See Also

plot.acomp, boxplot.acomp, rnorm.acomp, rnorm.rcomp, rnorm.aplus, rnorm.rplus

Examples

data(SimulatedAmounts)
qqnorm(acomp(sa.lognormals),alpha=0.05)
qqnorm(rcomp(sa.lognormals),alpha=0.05)
qqnorm(aplus(sa.lognormals),alpha=0.05)
qqnorm(rplus(sa.lognormals),alpha=0.05)