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A toolbox of permutation tests for structural change

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  • Achim Zeileis
  • Torsten Hothorn

Abstract

The sup $$LM$$ test for structural change is embedded into a permutation test framework for a simple location model. The resulting conditional permutation distribution is compared to the usual (unconditional) asymptotic distribution, showing that the power of the test can be clearly improved in small samples. Furthermore, the permutation test is embedded into a general framework that encompasses tools for binary and multivariate dependent variables as well as model-based permutation testing for structural change. It is also demonstrated that the methods can not only be employed for analyzing structural changes in time series data but also for recursive partitioning of cross-section data. The procedures suggested are illustrated using both artificial data and empirical applications (number of youth homicides, employment discrimination data, carbon flux in tropical forests, stock returns, and demand for economics journals). Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Achim Zeileis & Torsten Hothorn, 2013. "A toolbox of permutation tests for structural change," Statistical Papers, Springer, vol. 54(4), pages 931-954, November.
    • Handle: RePEc:spr:stpapr:v:54:y:2013:i:4:p:931-954
    DOI: 10.1007/s00362-013-0503-4
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    1. Freidlin, Boris & Gastwirth, Joseph L, 2000. "Changepoint Tests Designed for the Analysis of Hiring Data Arising in Employment Discrimination Cases," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(3), pages 315-322, July.
    2. Theodore C. Bergstrom, 2001. "Free Labour for Costly Journals?," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 183-198, Fall.
    3. Zeileis, Achim & Leisch, Friedrich & Hornik, Kurt & Kleiber, Christian, 2002. "strucchange: An R Package for Testing for Structural Change in Linear Regression Models," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 7(i02).
    4. Strobl, Carolin & Boulesteix, Anne-Laure & Augustin, Thomas, 2007. "Unbiased split selection for classification trees based on the Gini Index," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 483-501, September.
    5. Anne Morrison Piehl & Suzanne J. Cooper & Anthony A. Braga & David M. Kennedy, 2003. "Testing for Structural Breaks in the Evaluation of Programs," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 550-558, August.
    6. Achim Zeileis, 2005. "A Unified Approach to Structural Change Tests Based on ML Scores, F Statistics, and OLS Residuals," Econometric Reviews, Taylor & Francis Journals, vol. 24(4), pages 445-466.
    7. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    8. Kennedy, Peter E, 1995. "Randomization Tests in Econometrics," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 85-94, January.
    9. Torsten Hothorn & Achim Zeileis, 2008. "Generalized Maximally Selected Statistics," Biometrics, The International Biometric Society, vol. 64(4), pages 1263-1269, December.
    10. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
    11. Luger, Richard, 2006. "Exact permutation tests for non-nested non-linear regression models," Journal of Econometrics, Elsevier, vol. 133(2), pages 513-529, August.
    12. Hansen, Bruce E, 1997. "Approximate Asymptotic P Values for Structural-Change Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 60-67, January.
    13. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    14. Boulesteix, Anne-Laure & Strobl, Carolin, 2007. "Maximally selected Chi-squared statistics and non-monotonic associations: An exact approach based on two cutpoints," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6295-6306, August.
    15. Kramer, Walter & Ploberger, Werner & Alt, Raimund, 1988. "Testing for Structural Change in Dynamic Models," Econometrica, Econometric Society, vol. 56(6), pages 1355-1369, November.
    16. Stock, James H & Watson, Mark W, 1996. "Evidence on Structural Instability in Macroeconomic Time Series Relations," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(1), pages 11-30, January.
    17. Hothorn, Torsten & Lausen, Berthold, 2003. "On the exact distribution of maximally selected rank statistics," Computational Statistics & Data Analysis, Elsevier, vol. 43(2), pages 121-137, June.
    18. Hothorn, Torsten & Hornik, Kurt & van de Wiel, Mark A. & Zeileis, Achim, 2008. "Implementing a Class of Permutation Tests: The coin Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 28(i08).
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    1. Max Wornowizki & Roland Fried, 2016. "Two-sample homogeneity tests based on divergence measures," Computational Statistics, Springer, vol. 31(1), pages 291-313, March.
    2. K. B. S. Huth & L. J. Waldorp & J. Luigjes & A. E. Goudriaan & R. J. Holst & M. Marsman, 2022. "A Note on the Structural Change Test in Highly Parameterized Psychometric Models," Psychometrika, Springer;The Psychometric Society, vol. 87(3), pages 1064-1080, September.
    3. Martin Wagner & Achim Zeileis, 2019. "Heterogeneity and Spatial Dependence of Regional Growth in the EU: A Recursive Partitioning Approach," German Economic Review, Verein für Socialpolitik, vol. 20(1), pages 67-82, February.
    4. Yang Yi & Le Wen & Shan He, 2022. "Partitioning for “Common but Differentiated” Precise Air Pollution Governance: A Combined Machine Learning and Spatial Econometric Approach," Energies, MDPI, vol. 15(9), pages 1-23, May.

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