corNatural               package:nlme               R Documentation

_G_e_n_e_r_a_l _c_o_r_r_e_l_a_t_i_o_n _i_n _n_a_t_u_r_a_l _p_a_r_a_m_e_t_e_r_i_z_a_t_i_o_n

_D_e_s_c_r_i_p_t_i_o_n:

     This function is a constructor for the 'corNatural' class,
     representing a general correlation structure in the ``natural''
     parameterization, which is described under 'pdNatural'. Objects
     created using this constructor must later be initialized using the
      appropriate 'Initialize' method.

_U_s_a_g_e:

     corNatural(value, form, fixed)

_A_r_g_u_m_e_n_t_s:

   value: an optional vector with the parameter values. Default is
          'numeric(0)', which results in a vector of zeros of
          appropriate dimension being assigned to the parameters when
          'object' is initialized (corresponding to an identity
          correlation structure).

    form: a one sided formula of the form '~ t', or '~ t | g',
          specifying a time covariate 't' and,  optionally, a grouping
          factor 'g'. A covariate for this correlation structure must
          be integer valued. When a grouping factor is present in
          'form', the correlation structure is assumed to apply only to
          observations within the same grouping level; observations
          with different grouping levels are assumed to be
          uncorrelated. Defaults to '~ 1', which corresponds to using
          the order of the observations in the data as a covariate, and
          no groups.

   fixed: an optional logical value indicating whether the coefficients
          should be allowed to vary in the optimization, or kept fixed
          at their initial value. Defaults to 'FALSE', in which case
          the coefficients are allowed to vary.

_V_a_l_u_e:

     an object of class 'corNatural' representing a general correlation
     structure.

_A_u_t_h_o_r(_s):

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

_S_e_e _A_l_s_o:

     'Initialize.corNatural', 'pdNatural'

_E_x_a_m_p_l_e_s:

     ## covariate is observation order and grouping factor is Subject
     cs1 <- corNatural(form = ~ 1 | Subject)

