The linked pair solution to Galton's problem is examined from the per
spective of the autocorrelation problem in economics. The estimated de
grees of freedom, but not the correlations, are shown to be inflated due to
diffusional and historical associations. An alternate form of the linked pair
method is derived from the Orcutt-James solution to the autocorrelation
problem. This technique permits unrestricted sampling of societies along a
diffusion or geographic arc, and then provides a formula for calculating the
effective number of nonredundant cases for statistical tests. The advantages
and disadvantages of the method are discussed.