American Journal of Theoretical and Applied Statistics

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The Log Normal and the Poisson Gravity Models in the Analysis of Interactions Phenomena

Received: 28 May 2015    Accepted: 09 June 2015    Published: 04 July 2015
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Abstract

Three problems often encountered when bilateral interaction data are analyzed by means of the log-normal gravity model: the bias created by the logarithmic transformation, the failure of the homoscedasticity assumption and the treatment of zero valued flows. When the interaction are count data type that takes non-negative integer values, to overcome these problems the literature suggests to use a Poisson gravity model instead of log-normal model. In this paper, using a real interaction phenomenon a comparative analysis of the two models is carried out. The most important results obtained highlights that if the phenomenon is correctly specified, the two specification of the gravity model have a very similar behaviour.

DOI 10.11648/j.ajtas.20150404.19
Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 4, July 2015)
Page(s) 291-299
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Gravity Model, Poisson Model, Log Normal Model, Comparisons, Count Data

References
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Author Information
  • Department of Economics and Social Sciences, Polytechnic University of Marche, Ancona, Italy

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    Giuseppe Ricciardo Lamonica. (2015). The Log Normal and the Poisson Gravity Models in the Analysis of Interactions Phenomena. American Journal of Theoretical and Applied Statistics, 4(4), 291-299. https://doi.org/10.11648/j.ajtas.20150404.19

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    Giuseppe Ricciardo Lamonica. The Log Normal and the Poisson Gravity Models in the Analysis of Interactions Phenomena. Am. J. Theor. Appl. Stat. 2015, 4(4), 291-299. doi: 10.11648/j.ajtas.20150404.19

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    AMA Style

    Giuseppe Ricciardo Lamonica. The Log Normal and the Poisson Gravity Models in the Analysis of Interactions Phenomena. Am J Theor Appl Stat. 2015;4(4):291-299. doi: 10.11648/j.ajtas.20150404.19

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  • @article{10.11648/j.ajtas.20150404.19,
      author = {Giuseppe Ricciardo Lamonica},
      title = {The Log Normal and the Poisson Gravity Models in the Analysis of Interactions Phenomena},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {4},
      number = {4},
      pages = {291-299},
      doi = {10.11648/j.ajtas.20150404.19},
      url = {https://doi.org/10.11648/j.ajtas.20150404.19},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajtas.20150404.19},
      abstract = {Three problems often encountered when bilateral interaction data are analyzed by means of the log-normal gravity model: the bias created by the logarithmic transformation, the failure of the homoscedasticity assumption and the treatment of zero valued flows. When the interaction are count data type that takes non-negative integer values, to overcome these problems the literature suggests to use a Poisson gravity model instead of log-normal model. In this paper, using a real interaction phenomenon a comparative analysis of the two models is carried out. The most important results obtained highlights that if the phenomenon is correctly specified, the two specification of the gravity model have a very similar behaviour.},
     year = {2015}
    }
    

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    AB  - Three problems often encountered when bilateral interaction data are analyzed by means of the log-normal gravity model: the bias created by the logarithmic transformation, the failure of the homoscedasticity assumption and the treatment of zero valued flows. When the interaction are count data type that takes non-negative integer values, to overcome these problems the literature suggests to use a Poisson gravity model instead of log-normal model. In this paper, using a real interaction phenomenon a comparative analysis of the two models is carried out. The most important results obtained highlights that if the phenomenon is correctly specified, the two specification of the gravity model have a very similar behaviour.
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