ilrBase             package:compositions             R Documentation

_T_h_e _c_a_n_o_n_i_c_a_l _b_a_s_i_s _i_n _t_h_e _c_l_r _p_l_a_n_e _u_s_e_d _f_o_r _i_l_r _a_n_d _i_p_t _t_r_a_n_s_f_o_r_m_s.

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

     Compute the basis of a clr-plane, to use with isometric log-ratio
     or planar transform of a (dataset of) compositions.

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

               ilrBase( x=NULL , z=NULL , D = NULL )
               gsi.ilrBase(D)
               

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

       x: optional dataset or vector of compositions

       z: optional dataset or vector containing ilr or ipt coordinates

       D: number of parts of the simplex

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

     ilrBase is a wrapper catching the answers of gsi.ilrBase and is to
     be used as the more convenient function. Only one of the arguments
     is needs  to determine the dimension of the simplex.

_V_a_l_u_e:

     Both methods give a matrix containing by columns the basis
     elements for the canonical basis of the clr-plane used for the ilr
     and ipt transform.

_R_e_f_e_r_e_n_c_e_s:

     Egozcue J.J., V. Pawlowsky-Glahn, G. Mateu-Figueras and C.
     Barcel'o-Vidal (2003) Isometric logratio transformations for
     compositional data analysis. _Mathematical Geology_, *35*(3)
     279-300

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

     'clr','ilr','ipt', <URL: http://ima.udg.es/Activitats/CoDaWork03>

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

     ilr(c(1,2,3))
     ilrBase(D=2)
     ilrBase(c(1,2,3))
     ilrBase(z= ilr(c(1,2,3)) )
     round(ilrBase(D=7),digits= 3)

