pdCompSymm               package:nlme               R Documentation

_P_o_s_i_t_i_v_e-_D_e_f_i_n_i_t_e _M_a_t_r_i_x _w_i_t_h _C_o_m_p_o_u_n_d _S_y_m_m_e_t_r_y _S_t_r_u_c_t_u_r_e

_D_e_s_c_r_i_p_t_i_o_n:

     This function is a constructor for the 'pdCompSymm' class,
     representing a positive-definite matrix with compound symmetry
     structure (constant diagonal and constant off-diagonal elements).
     The underlying matrix is represented by 2 unrestricted parameters.
     When 'value' is 'numeric(0)', an unitialized 'pdMat' object, a
     one-sided formula, or a vector of character strings, 'object' is
     returned  as an uninitialized 'pdCompSymm' object (with just some
     of its  attributes and its class defined) and needs to have its
     coefficients assigned later, generally using the 'coef' or
     'matrix' replacement functions. If 'value' is an initialized
     'pdMat' object, 'object' will be constructed from 
     'as.matrix(value)'. Finally, if 'value' is a numeric vector of
     length 2, it is assumed to represent the unrestricted coefficients
     of the underlying positive-definite matrix.

_U_s_a_g_e:

     pdCompSymm(value, form, nam, data)

_A_r_g_u_m_e_n_t_s:

   value: an optional initialization value, which can be any of the
          following: a 'pdMat' object, a positive-definite matrix, a
          one-sided linear formula (with variables separated by '+'), a
          vector of character strings, or a numeric vector of length 2.
          Defaults to 'numeric(0)', corresponding to an uninitialized
          object.

    form: an optional one-sided linear formula specifying the
          row/column names for the matrix represented by 'object'.
          Because factors may be present in 'form', the formula needs
          to be evaluated on a data.frame to resolve the names it
          defines. This argument is ignored when 'value' is a one-sided
          formula. Defaults to 'NULL'.

     nam: an optional vector of character strings specifying the
          row/column names for the matrix represented by object. It
          must have  length equal to the dimension of the underlying
          positive-definite matrix and unreplicated elements. This
          argument is ignored when 'value' is a vector of character
          strings. Defaults to 'NULL'.

    data: an optional data frame in which to evaluate the variables
          named in 'value' and 'form'. It is used to obtain the levels
          for 'factors', which affect the dimensions and the row/column
          names of the underlying matrix. If 'NULL', no attempt is made
          to obtain information on  'factors' appearing in the
          formulas. Defaults to the parent frame from which the
          function was called.

_V_a_l_u_e:

     a 'pdCompSymm' object representing a positive-definite matrix with
     compound symmetry structure, also inheriting from class 'pdMat'.

_A_u_t_h_o_r(_s):

     Jose Pinheiro Jose.Pinheiro@pharma.novartis.com and Douglas Bates
     bates@stat.wisc.edu

_R_e_f_e_r_e_n_c_e_s:

     Pinheiro, J.C., and Bates, D.M. (2000) "Mixed-Effects Models in S
     and S-PLUS", Springer, esp. p. 161.

_S_e_e _A_l_s_o:

     'as.matrix.pdMat', 'coef.pdMat', 'matrix<-.pdMat', 'pdClasses'

_E_x_a_m_p_l_e_s:

     pd1 <- pdCompSymm(diag(3) + 1, nam = c("A","B","C"))
     pd1

