gearyc               package:DCluster               R Documentation

_M_o_r_a_n'_s _I _a_u_t_o_c_o_r_r_e_l_a_t_i_o_n _s_t_a_t_i_s_t_i_c

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

     Geary's c statistic is used to measure autocorrelation between
     areas within a region, as follows:


 c = (n-1) [sum_i sum_j W_ij (Z_i-Z_j)^2]/[2(sum_i sum_j W_ij) sum_k (Z_k-mean({Z))^2}


     W is a squared matrix which represents the relationship between
     each pair of regions. An usual approach is set w_ij to 1 if
     regions i and j have a common boundary and 0 otherwise, or it may
     represent the inverse distance between the centroids of that two
     regions.

     Small values of this statistic may indicate the presence of highly
      correlated areas, which may be a cluster.

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

     Geary, R. C. (1954). The contiguity ratio and statistical mapping.
     The Incorporated Statistician 5, 115-145.

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

     DCluster, gearyc.stat, gearyc.boot, gearyc.pboot

