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Logistic Regression for Extremely Rare Events: The Case of School Shootings

Author

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  • Christian Westphal

    (University of Marburg)

Abstract

School shootings are often used in public policy debate as a justification for increased regulation, based on qualitative arguments. However, to date, no effort has been made to find valid quantitative evidence for the claims bolstering the regulation recommendations. In defense of this absence of evidence, it is usually argued that the rarity of such events does not allow the employment of quantitative methods. This paper, using a simulation study, shows that, based on the number of shool shootings in the United States and Germany combined, the well-known method of logistic regression can be applied to a case-control study, making it possible to at least test for an association between hypothesized influential variables and the occurrences. Moderate relative risks, explained by an observed variable, would lead to a high power of the appropriate test. A moderate numbers of cases generated by such a variable would suffice to show a significant association.

Suggested Citation

  • Christian Westphal, 2013. "Logistic Regression for Extremely Rare Events: The Case of School Shootings," MAGKS Papers on Economics 201335, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
  • Handle: RePEc:mar:magkse:201335
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    File URL: https://www.uni-marburg.de/en/fb02/research-groups/economics/macroeconomics/research/magks-joint-discussion-papers-in-economics/papers/2013-papers/35-2013_westphal.pdf
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    Cited by:

    1. Sooyeon Kang, 2023. "Upping the ante without taking up arms: Why mass movements escalate demands," Journal of Peace Research, Peace Research Institute Oslo, vol. 60(1), pages 73-87, January.

    More about this item

    Keywords

    Rare Events; Logistic Regression; Case-Control Studies; School Shootings;
    All these keywords.

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • K14 - Law and Economics - - Basic Areas of Law - - - Criminal Law

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