UPrandomsystematic         package:sampling         R Documentation

_R_a_n_d_o_m _s_y_s_t_e_m_a_t_i_c _s_a_m_p_l_i_n_g

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

     Select a sample using the systematic method,  when the order of
     units in population is random (unequal probabilities, without
     replacement, fixed sample size).

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

     UPrandomsystematic(pik)

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

     pik: vector of prescribed inclusion probabilities.

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

     Return a vector (with elements 0 and 1) of size N, where N is the
     population size.   Each element k of this vector indicates the
     status of the unit k  (1, the unit k is selected in the sample; 0,
     otherwise).

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

     Madow, W.G. (1949), On the theory of systematic sampling, II, 
     _Annals of Mathematical Statistics_, 20, 333-354.

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

     'UPsystematic'

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

     #define the prescribed inclusion probabilities
     pik=c(0.2,0.7,0.8,0.5,0.4,0.4)
     #select a sample
     s=UPrandomsystematic(pik)
     #the sample is
     (1:length(pik))[s==1]

