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Hierarchical Elimination and Regionalization in Spatial Choice

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  • P B Slater

    (Community and Organization Research Institute, University of California, Santa Barbara, California 93106, USA)

Abstract

Spatial choice models have been criticized for their restrictive assumptions. In particular, the independence or constant-ratio axiom of Luce has been questioned because of its failure to account for the effects of similarity between alternatives. Tversky's elimination by aspects model provides a natural explanation of similarity effects, but cannot be estimated from binary probabilities. The elimination by tree or, equivalently, hierarchical elimination model is less restrictive than the constant-ratio model and more parsimonious than elimination by aspects. To estimate this model in a spatial interaction context, a hierarchical regionalization based upon interareal flow data is first obtained. The lengths of the links in the resultant tree structure are reestimated on the basis of choice probability ratios.

Suggested Citation

  • P B Slater, 1982. "Hierarchical Elimination and Regionalization in Spatial Choice," Environment and Planning A, , vol. 14(1), pages 127-130, January.
    • Handle: RePEc:sae:envira:v:14:y:1982:i:1:p:127-130
    DOI: 10.1068/a140127
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    References listed on IDEAS

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    1. Paul Slater, 1981. "Combinatorial procedures for structuring internal migration and other transaction flows," Quality & Quantity: International Journal of Methodology, Springer, vol. 15(2), pages 179-202, April.
    2. Dennis H. Gensch & Joseph A. Svestka, 1979. "An Exact Hierarchical Algorithm for Determining Aggregate Statistics from Individual Choice Data," Management Science, INFORMS, vol. 25(10), pages 939-952, October.
    3. Rao, Vithala R & Sabavala, Darius Jal, 1981. "Inference in Hierarchical Choice Processes from Panel Data," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 8(1), pages 85-96, June.
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