UPsystematic            package:sampling            R Documentation

_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:

     Use systematic method to select a sample of units (unequal
     probabilities, without replacement, fixed sample size).

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

     UPsystematic(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:

     'inclusionprobabilities','UPrandomsystematic'

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

     ############
     ## Example 1
     ############
     #define the prescribed inclusion probabilities
     pik=c(0.2,0.7,0.8,0.5,0.4,0.4)
     #select a sample
     s=UPsystematic(pik)
     #the sample is
     (1:length(pik))[s==1]
     ############
     ## Example 2
     ############
     data(belgianmunicipalities)
     Tot=belgianmunicipalities$Tot04
     name=belgianmunicipalities$Commune
     pik=inclusionprobabilities(Tot,200)
     #select a sample
     s=UPsystematic(pik)  
     #the sample is
     as.vector(name[s==1])

