IDEAS home Printed from https://ideas.repec.org/a/spr/stabio/v11y2019i3d10.1007_s12561-019-09249-z.html
   My bibliography  Save this article

Dealing with the Phenomenon of Quasi-complete Separation and a Goodness of Fit Test in Logistic Regression Models in the Case of Long Data Sets

Author

Listed:
  • V. G. Vassiliadis

    (Democritus University of Thrace)

  • I. I. Spyroglou

    (Democritus University of Thrace)

  • A. G. Rigas

    (Democritus University of Thrace)

  • J. R. Rosenberg

    (University of Glasgow)

  • K. A. Lindsay

    (University of Glasgow)

Abstract

The phenomenon of quasi-complete separation that appears in the identification of the neuromuscular system called muscle spindle by a logistic regression model is considered. The system responds when it is affected by a number of stimuli. Both the response and the stimuli are very long binary sequences of events. In the logistic model, three functions are of special interest: the threshold, the recovery and the summation functions. The maximum likelihood estimates are obtained efficiently and very fast by using the penalized likelihood function. A validity test for the fitted model based on the randomized quantile residuals is proposed. The validity test is transformed to a goodness of fit test and the use of Q–Q plot is also discussed.

Suggested Citation

  • V. G. Vassiliadis & I. I. Spyroglou & A. G. Rigas & J. R. Rosenberg & K. A. Lindsay, 2019. "Dealing with the Phenomenon of Quasi-complete Separation and a Goodness of Fit Test in Logistic Regression Models in the Case of Long Data Sets," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 11(3), pages 567-596, December.
    • Handle: RePEc:spr:stabio:v:11:y:2019:i:3:d:10.1007_s12561-019-09249-z
    DOI: 10.1007/s12561-019-09249-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12561-019-09249-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12561-019-09249-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. D. J. Venzon & S. H. Moolgavkar, 1988. "A Method for Computing Profile‐Likelihood‐Based Confidence Intervals," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(1), pages 87-94, March.
    2. Zorn, Christopher, 2005. "A Solution to Separation in Binary Response Models," Political Analysis, Cambridge University Press, vol. 13(2), pages 157-170, April.
    3. Carter, David B. & Signorino, Curtis S., 2010. "Back to the Future: Modeling Time Dependence in Binary Data," Political Analysis, Cambridge University Press, vol. 18(3), pages 271-292, July.
    4. Liang, Jiajuan & Tang, Man-Lai & Chan, Ping Shing, 2009. "A generalized Shapiro-Wilk W statistic for testing high-dimensional normality," Computational Statistics & Data Analysis, Elsevier, vol. 53(11), pages 3883-3891, September.
    5. Karavasilis, G.J. & Kotti, V.K. & Tsitsis, D.S. & Vassiliadis, V.G. & Rigas, A.G., 2005. "Statistical methods and software for risk assessment: applications to a neurophysiological data set," Computational Statistics & Data Analysis, Elsevier, vol. 49(1), pages 243-263, April.
    6. Dimitrios Tsitsis & George Karavasilis & Alexandros Rigas, 2012. "Measuring the association of stationary point processes using spectral analysis techniques," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 21(1), pages 23-47, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Victor Asal & Bryan R. Early & Marcus Schulzke, 2017. "Up in arms! Explaining why ethnic minority organizations form militias in transitioning and post-communist Eurasian countries1," Conflict Management and Peace Science, Peace Science Society (International), vol. 34(5), pages 485-506, September.
    2. Jansesberger, Viktoria, 2024. "Storms, floods, landslides and elections in India's growing metropolises: Hotbeds for political protest?," Working Papers 28, University of Konstanz, Cluster of Excellence "The Politics of Inequality. Perceptions, Participation and Policies".
    3. Marianna Belloc & Francesco Drago & Roberto Galbiati, 2016. "Earthquakes, Religion, and Transition to Self-Government in ItalianCities," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(4), pages 1875-1926.
    4. Bellelli, Francesco S. & Scarpa, Riccardo & Aftab, Ashar, 2023. "An empirical analysis of participation in international environmental agreements," Journal of Environmental Economics and Management, Elsevier, vol. 118(C).
    5. Alexander Rasch & Christian Waibel, 2018. "What Drives Fraud in a Credence Goods Market? – Evidence from a Field Study," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 80(3), pages 605-624, June.
    6. Bandyopadhyay, Sanghamitra & Green, Elliott, 2013. "Nation-Building and Conflict in Modern Africa," World Development, Elsevier, vol. 45(C), pages 108-118.
    7. Oren Rigbi, 2013. "The Effects of Usury Laws: Evidence from the Online Loan Market," The Review of Economics and Statistics, MIT Press, vol. 95(4), pages 1238-1248, October.
    8. Daniel Krcmaric, 2018. "Varieties of civil war and mass killing," Journal of Peace Research, Peace Research Institute Oslo, vol. 55(1), pages 18-31, January.
    9. Evelyne Huber & Itay Machtei & John D. Stephens, 2023. "Testing Theories of Redistribution: Structure of Inequality, Electoral Institutions, and Partisan Politics," LIS Working papers 854, LIS Cross-National Data Center in Luxembourg.
    10. Bodea, Cristina, 2015. "Fixed exchange rates with escape clauses: The political determinants of the European Monetary System realignments," European Journal of Political Economy, Elsevier, vol. 39(C), pages 25-40.
    11. Gerling Lena, 2017. "Urban Protests, Coups d’état and Post-Coup Regime Change," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 23(4), pages 1-8, December.
    12. Srinivas C. Parinandi, 2020. "Policy Inventing and Borrowing among State Legislatures," American Journal of Political Science, John Wiley & Sons, vol. 64(4), pages 852-868, October.
    13. Choong-Nam Kang, 2017. "Capability revisited: Ally’s capability and dispute initiation1," Conflict Management and Peace Science, Peace Science Society (International), vol. 34(5), pages 546-571, September.
    14. Corinne Bara, 2018. "Legacies of Violence," Journal of Conflict Resolution, Peace Science Society (International), vol. 62(9), pages 1991-2016, October.
    15. Bowling Jeremy, 2017. "International Cooperation: Testing Evolution of Cooperation Theories," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 23(1), pages 1-35, January.
    16. Cullen S. Hendrix, 2014. "Oil Prices and Interstate Conflict Behavior," Working Paper Series WP14-3, Peterson Institute for International Economics.
    17. Mary, Sebastien, 2022. "Dams mitigate the effect of rainfall shocks on Hindus-Muslims riots," World Development, Elsevier, vol. 150(C).
    18. Hermano, Víctor & Martín-Cruz, Natalia, 2013. "How to Deliver Foreign Aid? The Case of Projects Governed by the Spanish International Agency," World Development, Elsevier, vol. 43(C), pages 298-314.
    19. Zigraiova, Diana & Jakubik, Petr, 2015. "Systemic event prediction by an aggregate early warning system: An application to the Czech Republic," Economic Systems, Elsevier, vol. 39(4), pages 553-576.
    20. Nicholas Sambanis & Micha Germann & Andreas Schädel, 2018. "SDM: A New Data Set on Self-determination Movements with an Application to the Reputational Theory of Conflict," Journal of Conflict Resolution, Peace Science Society (International), vol. 62(3), pages 656-686, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:stabio:v:11:y:2019:i:3:d:10.1007_s12561-019-09249-z. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.