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Selection Criteria for Overlapping Binary Models—A Simulation Study

Author

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  • Teresa Aparicio

    (Department of Economic Analysis, University of Zaragoza, Gran Vía, 2, 50005 Zaragoza, Spain)

  • Inmaculada Villanúa

    (Department of Economic Analysis, University of Zaragoza, Gran Vía, 2, 50005 Zaragoza, Spain)

Abstract

This paper deals with the problem of choosing the optimum criterion for selecting the best model out of a set of overlapping binary models. The criteria we studied were the well-known AIC and SBIC, and a third one called C 2 . Special attention was paid to the setting where neither of the competing models was correctly specified. This situation has not been studied very much but it is the most common case in empirical works. The theoretical study we carried out allowed us to conclude that, in general terms, all criteria perform well. A Monte Carlo exercise corroborated those results.

Suggested Citation

  • Teresa Aparicio & Inmaculada Villanúa, 2022. "Selection Criteria for Overlapping Binary Models—A Simulation Study," Mathematics, MDPI, vol. 10(3), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:478-:d:740642
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    References listed on IDEAS

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    3. Reem Aljarallah & Samer A Kharroubi, 2021. "Use of Bayesian Markov Chain Monte Carlo Methods to Model Kuwait Medical Genetic Center Data: An Application to Down Syndrome and Mental Retardation," Mathematics, MDPI, vol. 9(3), pages 1-11, January.
    4. Hashem Pesaran, M. & Pesaran, Bahram, 1993. "A simulation approach to the problem of computing Cox's statistic for testing nonnested models," Journal of Econometrics, Elsevier, vol. 57(1-3), pages 377-392.
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