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Do we reject too often? : Small sample properties of tests of rational expectations models

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  • Gregory Mankiw, N.
  • Shapiro, Matthew D.

Abstract

We examine the small sample properties of tests of rational expectations models. We show using Monte Carlo experiments that the asymptotic distribution of test statistics can be extremely misleading when the tine series examined are highly autoregressive. In particular, a practitioner relying on the asymptotic distribution will reject true models too frequently. We also show that this problem is especially severe with detrended data. We present correct small sample critical values for our canonical problem.

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Bibliographic Info

Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 20 (1986)
Issue (Month): 2 ()
Pages: 139-145
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Handle: RePEc:eee:ecolet:v:20:y:1986:i:2:p:139-145

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For corrections or technical questions regarding this item, or to correct its listing, contact: (Jeroen Loos).

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References

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  1. Charles R. Nelson & Heejoon Kang, 1983. "Pitfalls in the use of Time as an Explanatory Variable in Regression," NBER Technical Working Papers 0030, National Bureau of Economic Research, Inc.
  2. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-87, December.
  3. Nelson, Charles R & Kang, Heejoon, 1979. "Spurious Periodicity in Inappropriately Detrended Time Series," The Warwick Economics Research Paper Series (TWERPS) 161, University of Warwick, Department of Economics.
  4. Shiller, Robert J, 1979. "The Volatility of Long-Term Interest Rates and Expectations Models of the Term Structure," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1190-1219, December.
  5. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
  6. Evans, G B A & Savin, N E, 1981. "Testing for Unit Roots: 1," Econometrica, Econometric Society, vol. 49(3), pages 753-79, May.
  7. Flavin, Marjorie A, 1981. "The Adjustment of Consumption to Changing Expectations about Future Income," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 974-1009, October.
  8. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
  9. Flavin, Marjorie, 1984. "Time series evidence on the expectations hypothesis of the term structure," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 20(1), pages 211-237, January.
  10. Evans, G B A & Savin, N E, 1984. "Testing for Unit Roots: 2," Econometrica, Econometric Society, vol. 52(5), pages 1241-69, September.
  11. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
  12. Abel, Andrew B. & Mishkin, Frederic S., 1983. "An integrated view of tests of rationality, market efficiency and the short-run neutrality of monetary policy," Journal of Monetary Economics, Elsevier, vol. 11(1), pages 3-24.
  13. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-86, September.
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