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COMBINATORIAL PROCEDURES FOR THE ANALYSIS OF ALTERANTE MODELS: AN EXAMPLE FROM INTERREGIONAL MIGRATION
Author(s) -
Gale Nathan,
Hubert Lawrence J.,
Tobler Waldo R.,
Golledge Reginald G.
Publication year - 1983
Publication title -
papers in regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.937
H-Index - 64
eISSN - 1435-5957
pISSN - 1056-8190
DOI - 10.1111/j.1435-5597.1983.tb00806.x
Subject(s) - pairwise comparison , heuristic , entropy (arrow of time) , set (abstract data type) , computer science , mathematics , econometrics , mathematical optimization , statistics , physics , quantum mechanics , programming language
In this paper we present a methodology for comparing the adequacy of two or more models in terms of how well they represent a given data set. a set of interregional migration models is tested, including several variations of push‐pull models. Wilson's entropy maximizing model, a quadratic programing solution, and an ANOVA model. Testing is undertaken using a heuristic proccdure based on a pair by pair comparison of models to see which one best represents migration flows as estimated by the Census Bireau. The results of the pairwise testing are presented visually in a “matrix map” which allows us to illustrate the degree to which a perfect ordering of the comparison indices exists, and the degree to which individual models eluster together.