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The Johansen procedure is probably overkill. Dickey and Dickey and Fuller studied the limiting distribution of the OLS estimator of autoregressive models for time series with a simple unit root.



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I would like to comment on what Eric wrote:

Testing for cointegration: Johansen vs Dickey-Fuller

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Stationary Test

These futures have a shifting economic relationship unlike spot and futures prices. I run the ADF test this way: If this is the case, then the procedure is the traditional Engle-Granger two-step procedure and the asymptotic distn of the "ADF test statistic" follows the distribution described by Phillips and Ouliaris see Hamilton's Time Series Analysis book for a description of this disn or my chapter on cointegration in MFTS. To test whether a given time series is stationary or not, we apply an indirect test for the existence of a unit root.
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