Social and Behavioral Sciences Commons^™

Statistical Methods To Partition Effects Of Quantity And Location During Comparison Of Categorical Maps At Multiple Resolutions, R. Gil Pontius

Geography

New generalized statistical methods to measure agreement between two maps at multiple-resolutions, where each cell in each map has a multinomial distribution among any number of categories, are presented. This methodology quantifies agreement between any two categorical maps, where either map uses fuzzy or crisp classification. The method measures the agreement at various resolutions by aggregating neighboring cells into an increasingly coarse grid. At each resolution, the method partitions the overall agreement into correct due to chance, correct due to quantity, correct due to location, error due to location, and error due to quantity. In addition, the method computes six …