qqnorm             package:compositions             R Documentation

_N_o_r_m_a_l _q_u_a_n_t_i_l_e _p_l_o_t_s _f_o_r _c_o_m_p_o_s_i_t_i_o_n_s _a_n_d _a_m_o_u_n_t_s

_D_e_s_c_r_i_p_t_i_o_n:

     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.

_U_s_a_g_e:

     ## 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)
               

_A_r_g_u_m_e_n_t_s:

       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

_D_e_t_a_i_l_s:

     '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.

_S_e_e _A_l_s_o:

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

_E_x_a_m_p_l_e_s:

     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)

