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Threshold effects in non-dynamic panels: Estimation, testing and inference


  • Bruce E. Hansen

    () (Boston College)


Threshold regression methods are developed for non-dynamic panels with individual-specific fixed effects. Least squares estimation of the threshold and regression slopes is proposed using fixed-effects transformations. A non-standard asymptotic theory of inference is developed which allows construction of confidence intervals and testing of hypotheses. The methods are applied to a 15-year sample of 565 U.S. firms to test whether financial constraints affect investment decisions.

Suggested Citation

  • Bruce E. Hansen, 1997. "Threshold effects in non-dynamic panels: Estimation, testing and inference," Boston College Working Papers in Economics 365, Boston College Department of Economics.
  • Handle: RePEc:boc:bocoec:365

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    References listed on IDEAS

    1. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    2. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
    3. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
    4. Bai, Jushan, 1997. "Estimating Multiple Breaks One at a Time," Econometric Theory, Cambridge University Press, vol. 13(03), pages 315-352, June.
    5. Abel, Andrew B & Eberly, Janice C, 1994. "A Unified Model of Investment under Uncertainty," American Economic Review, American Economic Association, vol. 84(5), pages 1369-1384, December.
    6. Steven M. Fazzari & R. Glenn Hubbard & Bruce C. Petersen, 1988. "Financing Constraints and Corporate Investment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 19(1), pages 141-206.
    7. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    8. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    9. Barnett, Steven A. & Sakellaris, Plutarchos, 1998. "Nonlinear response of firm investment to Q:: Testing a model of convex and non-convex adjustment costs1," Journal of Monetary Economics, Elsevier, vol. 42(2), pages 261-288, July.
    10. Bronwyn H. Hall & Robert E. Hall, 1993. "The Value and Performance of U.S. Corporations," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 24(1), pages 1-50.
    11. Xiaoqiang Hu & Fabio Schiantarelli, 1998. "Investment And Capital Market Imperfections: A Switching Regression Approach Using U.S. Firm Panel Data," The Review of Economics and Statistics, MIT Press, vol. 80(3), pages 466-479, August.
    12. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
    13. repec:cup:etheor:v:13:y:1997:i:3:p:315-52 is not listed on IDEAS
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    More about this item


    panel data; threshold regression;

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions


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