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

Giuseppe Ricciardo Lamonica

doi:doi:10.11648/j.ajtas.20150404.19

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

Giuseppe Ricciardo Lamonica

Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 4)

Received: 28 May 2015 Accepted: 9 June 2015 Published: 4 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.

Published in	American Journal of Theoretical and Applied Statistics (Volume 4, Issue 4)
DOI	10.11648/j.ajtas.20150404.19
Page(s)	291-299
Creative Commons	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), 2015. Published by Science Publishing Group

Keywords

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

References

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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://article.sciencepublishinggroup.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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TY  - JOUR
T1  - The Log Normal and the Poisson Gravity Models in the Analysis of Interactions Phenomena
AU  - Giuseppe Ricciardo Lamonica
Y1  - 2015/07/04
PY  - 2015
N1  - https://doi.org/10.11648/j.ajtas.20150404.19
DO  - 10.11648/j.ajtas.20150404.19
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 291
EP  - 299
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20150404.19
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.
VL  - 4
IS  - 4
ER  -

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Author Information

Giuseppe Ricciardo Lamonica

Department of Economics and Social Sciences, Polytechnic University of Marche, Ancona, Italy

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APA Style

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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ACS 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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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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - The Log Normal and the Poisson Gravity Models in the Analysis of Interactions Phenomena
AU  - Giuseppe Ricciardo Lamonica
Y1  - 2015/07/04
PY  - 2015
N1  - https://doi.org/10.11648/j.ajtas.20150404.19
DO  - 10.11648/j.ajtas.20150404.19
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 291
EP  - 299
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20150404.19
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.
VL  - 4
IS  - 4
ER  -

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