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Matrix Comparison, Goodness-of-Fit, and Spatial Interaction Modeling

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  • Daniel C. Knudsen

    (Department of Geography, Indiana University, Bloomington, Indiana 47405 USA)

  • A. Stewart Fotheringham

    (Department of Geography, University of Florida, Gainesville, Florida 32611 USA)

Abstract

The usefulness of various statistics for comparing observed and predicted spatial interaction matrices is examined. Results indicate that some statistics may yield misleading information about error levels in predicted matrices. Other statistics are found to be unsuitable for significance testing. The concept of experimental distributions is discussed for several of the statistics. Although framed in the context of spatial interaction modeling, the discussion is relevant to most matrix comparison problems.

Suggested Citation

  • Daniel C. Knudsen & A. Stewart Fotheringham, 1986. "Matrix Comparison, Goodness-of-Fit, and Spatial Interaction Modeling," International Regional Science Review, , vol. 10(2), pages 127-147, August.
    • Handle: RePEc:sae:inrsre:v:10:y:1986:i:2:p:127-147
    DOI: 10.1177/016001768601000203
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    References listed on IDEAS

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    1. Snickars, Folke & Weibull, Jorgen W., 1977. "A minimum information principle : Theory and practice," Regional Science and Urban Economics, Elsevier, vol. 7(1-2), pages 137-168, March.
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    1. McArthur, David Philip & Kleppe, Gisle & Thorsen, Inge & Ubøe, Jan, 2011. "The spatial transferability of parameters in a gravity model of commuting flows," Journal of Transport Geography, Elsevier, vol. 19(4), pages 596-605.
    2. Jan Ubøe & Jonas Andersson & Kurt Jörnsten & Siri Pettersen Strandenes, 2009. "Modeling freight markets for coal," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 11(3), pages 289-301, September.
    3. Koenig, Shantel J. & Bender, Darren J., 2018. "Increasing the function in distance-based functional connectivity assessments: a modified spatial interaction model (SIM) approach," Ecological Modelling, Elsevier, vol. 386(C), pages 47-58.
    4. Mohsen Nazem & Martin Trépanier & Catherine Morency, 2015. "Revisiting the destination ranking procedure in development of an Intervening Opportunities Model for public transit trip distribution," Journal of Geographical Systems, Springer, vol. 17(1), pages 61-81, January.
    5. repec:elg:eechap:14395_23 is not listed on IDEAS
    6. Louis Grange & Angel Ibeas & Felipe González, 2011. "A Hierarchical Gravity Model with Spatial Correlation: Mathematical Formulation and Parameter Estimation," Networks and Spatial Economics, Springer, vol. 11(3), pages 439-463, September.
    7. Saadi, Ismaïl & Mustafa, Ahmed & Teller, Jacques & Farooq, Bilal & Cools, Mario, 2016. "Hidden Markov Model-based population synthesis," Transportation Research Part B: Methodological, Elsevier, vol. 90(C), pages 1-21.
    8. Liv Osland & Inge Thorsen & Jens Petter Gitlesen, 2004. "The impact of labour market accessibility on housing prices," ERSA conference papers ersa04p355, European Regional Science Association.
    9. Louis Grange & Felipe González & Juan Muñoz & Sebastián Raveau, 2014. "An Improved Stirling Approximation for Trip Distribution Models," Networks and Spatial Economics, Springer, vol. 14(3), pages 531-548, December.
    10. Sahar Babri & Kurt Jørnsten & Michael Viertel, 2017. "Application of gravity models with a fixed component in the international trade flows of coal, iron ore and crude oil," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 19(2), pages 334-351, June.

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