2001
DOI: 10.1080/00036840121734
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Spurious regressions with stationary series

Abstract: A spurious regression occurs when a pair of independent series, but with strong temporal properties, are found apparently to be related according to standard inference in an OLS regression. Although this is well known to occur with pairs of independent unit root processes, this paper finds evidence that similar results are found with positively autocorrelated autoregressive series or long moving averages. This occurs regardless of the sample size and for various distributions of the error terms.

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Cited by 131 publications
(83 citation statements)
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“…Some precautionary remarks on the danger of spurious relations between climatic indices and ecological variables are in order. It is well known that strong temporal dependence in two independent time-series may induce spurious relations between the two series according to standard inference in an ordinary regression model (see Granger et al (2001) and the references therein). This problem is further exacerbated in the setting of nonlinear models.…”
Section: The Climate-local Weather Interfacementioning
confidence: 99%
“…Some precautionary remarks on the danger of spurious relations between climatic indices and ecological variables are in order. It is well known that strong temporal dependence in two independent time-series may induce spurious relations between the two series according to standard inference in an ordinary regression model (see Granger et al (2001) and the references therein). This problem is further exacerbated in the setting of nonlinear models.…”
Section: The Climate-local Weather Interfacementioning
confidence: 99%
“…Granger et al, 2001). Therefore we used Monte Carlo simulations to calculate 1% critical values for t-tests that account for the observed persistence in the series.…”
Section: Empirical Frameworkmentioning
confidence: 99%
“…Regression between time series is known to produce spurious results in the following settings: trending or auto correlated time series (Granger and Newbold 1974), I(1) processes without drift (Phillips 1986), I(1) processes with further stationary regressors (Hassler 1996), stationary AR processes (Granger, Hyung and Jeon 2001), random walks with and without drift for fixed effects panel models (Entorf 1997), time-varying means (Hassler 2003), and stationary processes around linear trends (Kim, Lee and Newbold 2004), as well as in fixed effects (or first differences) estimations with weak variation in the time series (Choi 2011). It seems unlikely that none of these situations occurred in the original analysis, and thus there may be more sources for spurious results than just the ratio problem.…”
Section: º¿ ùø E95 × Aeóø èóôùð ø óòmentioning
confidence: 99%