手法を比較

	Ecological Fallacy Analysis	Areal Interpolation
分野	Human Geography	Human Geography
系統	Process / pipeline	Process / pipeline
提唱年	1950	1979
提唱者	William S. Robinson	Waldo Tobler (pycnophylactic) and Michael Goodchild & Nina Lam (areal weighting)
種類	Diagnosis and correction of bias when inferring individual relationships from aggregate data	Method for transferring attribute data between incompatible sets of areal units
原典	Robinson, W. S. (1950). Ecological correlations and the behavior of individuals. American Sociological Review, 15(3), 351–357.	Tobler, W. R. (1979). Smooth pycnophylactic interpolation for geographical regions. Journal of the American Statistical Association, 74(367), 519–530.
別名	Ecological Inference, Ecological Bias Analysis, Aggregation Bias Analysis	Cross-Areal Estimation, Zone-to-Zone Interpolation, Spatial Data Transfer
関連	4	4
概要	The ecological fallacy is the error of inferring relationships among individuals from correlations measured on groups, and ecological fallacy analysis is the practice of detecting, decomposing, and correcting that bias. William Robinson's 1950 paper demonstrated the danger starkly: the correlation between literacy and immigrant status across U.S. states was strongly positive at the aggregate level yet negative at the individual level. The work shows that an association observed between area averages can be inflated, attenuated, or reversed relative to the underlying individual association, so aggregate evidence cannot be read directly as evidence about people.	Areal interpolation is the family of methods for transferring attribute data — populations, counts, rates — from one set of areal units (the source zones) onto a different, incompatible set (the target zones). The need arises constantly in geography because census tracts, postal zones, electoral districts, and grid cells rarely align, yet analysts must combine data reported on mismatched geographies. The methods range from simple area-proportional weighting through ancillary-informed dasymetric refinement to Waldo Tobler's 1979 volume-preserving pycnophylactic smoothing, each trading simplicity for accuracy.