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Testing Slope Homogeneity in Large Panels

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  • Pesaran, M.H.
  • Yamagata. T.

Abstract

This paper proposes a modified version of Swamy’s test of slope homogeneity for panel data models where the cross section dimension (N) could be large relative to the time series dimension (T). We exploit the cross section dispersion of individual slopes weighted by their relative precision. Using Monte Carlo experiments, we show that the test has the correct size and satisfactory power in panels with strictly exogenous regressors for various combinations of N and T. For autoregressive (AR) models the test performs well for moderate values of the root of the autoregressive process, but with roots near unity a bias-corrected bootstrapped version performs well even if N is large relative to T. The cross section dispersion tests are used to test the homogeneity of slopes in autoregressive models of individual earnings using the PSID data and show statistically significant evidence of slope heterogeneity in the earnings dynamics.

Suggested Citation

  • Pesaran, M.H. & Yamagata. T., 2005. "Testing Slope Homogeneity in Large Panels," Cambridge Working Papers in Economics 0513, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:0513
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    References listed on IDEAS

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    More about this item

    Keywords

    Testing Slope Homogeneity; Hausman Type Tests; Cross Section Dispersion Tests; Monte Carlo Results; PSID Earnings Dynamics;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

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