An approximate calculation for the effective sample size for spatially autocorrelated data. Only valid for approximately normally distributed data.
Source
Griffith, Daniel A. (2005). Effective geographic sample size in the presence of spatial autocorrelation. Annals of the Association of American Geographers. Vol. 95(4): 740-760.
n_eff(n, rho)
Arguments
n: Number of observations.
rho: Spatial autocorrelation parameter from a simultaneous autoregressive model.
Returns
Returns effective sample size n*, a numeric value.
Details
Implements Equation 3 from Griffith (2005).
Examples
n_eff(100,0)n_eff(100,0.5)n_eff(100,0.9)n_eff(100,1)rho <- seq(0,1, by =0.01)plot(rho, n_eff(100, rho), type ='l', ylab ="Effective Sample Size")