Firework            package:compositions            R Documentation

_F_i_r_e_w_o_r_k _m_i_x_t_u_r_e_s

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

     Data show two measured properties, brilliance and vorticity, of 81
     girandoles composed of different mixtures of five ingredients: a -
     e. Of these ingredients, a and b are the primary light-producting,
      c is principal propellant, and d and e are binding agents for c.

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

     data(Firework)

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

     The data consist of 81 cases and 7 variables: ingredients a, b, c,
     d, and e,  and the two measured properties {\em brilliance\/} and
     {\em vorticity.} The 81 different mixtures form a special
     experiment design. First the 81  possible quadruples formed from
     the three values -1, 0, 1 were arranged  in ascending order. Then
     for each such quadruple z, the corresponding mixture
     x(z)=(a,b,c,d,e)=alr.inv(z) is computed. Thus the No. 4 girandole
     corresponds  to z=(-1,-1,0,-1) and so is composed of a mixture
     x=(.12,.12,.32,.12,.32)  of the five ingredients. All 5-part
     mixtures sum up to one.

_S_o_u_r_c_e:

     Aitchison: CODA microcomputer statistical package, 1986, the file
     name YATQUAD.DAT, here included under the GNU Public Library
     Licence Version 2 or newer.

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

     Aitchison: The Statistical Analysis of Compositional Data, 1986,
     Data 13, pp17.

