The ADF test has demonstrated that your variable is stationary. If you have monthly data, you may have to use more lags if the longest lag that has a statistically significant autocorrelation is longer than 4. Very often the lag 12 mth has stat. sign. autocorrelation because of seasonality. In that case you should use lag 12 within your ADF test. Unit root and stationarity test statistics have nonstandard and nonnor-mal asymptotic distributions under their respective null hypotheses. To complicate matters further, the limiting distributions of the test statistics are affected by the inclusion of deterministic terms in the test regressions. However, using the KPSS test, the ADF test and PP test, I get different results (ADF and PP reject non-stationarity, KPSS rejects stationarity, unit-root; stationarity; augmented-dickey-fuller; kpss-test; Lila. 65; asked Apr 13, 2016 at 7:12. 5 votes. 2 answers. 763 views. Can Dickey-Fuller be used if the residuals are non-normal? root test. First, you should use the topmost combo box to select the type of unit root test that you wish to perform. You may choose one of six tests: ADF, DFGLS, PP, KPSS, ERS, and NP. Next, specify whether you wish to test for a unit root in the level, first difference, or second difference of the series.
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ADF, KPSS, Engle-Granger — unit root and cointegration tests. Functions. adf_test. kpss_test. levin_lin_test. engle_granger_test. #include . Implementations of the (Augmented) Dickey-Fuller test and the Kwiatkowski, Phillips, Schmidt and Shin test for the presence of a unit root in a time series, along with the Engle-Granger test Difference between DF test and ADF test. The following are the differences between the Dickey-Fuller test and the Augmented Dickey Fuller test (ADF test). Dickey-Fuller Test. The Dickey-Fuller Test is a statistical test that is used to determine if there is a unit root in the data i.e., whether the time series is stationary or non-stationary. 8. Two common methods of testing whether a time series is stationary are the KPSS and ADF tests. If my understanding is correct, these tests essentially work by measuring the residuals of fitting the time-series to an autoregressive model which is linear. So my question is this, if the time series is possibly of a non-linear nature are the kpss.test is the one you are looking for, considering you only look for stationary series, if you use adf.test or pp.test you must know that this functions test is for "trend-Stationary", so its is not what you are looking for. i only use Box.test for residuals auto correlation test for Arima models for example. As far i know this test only take care of mean, not variance or covariance.
13. If the trend is deterministic (e.g. a linear trend) you could run a regression of the data on the deterministic trend (e.g. a constant plus time index) to estimate the trend and remove it from the data. If the trend is stochastic you should detrend the series by taking first differences on it. The ADF test and the KPSS test can give you
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  • kpss test vs adf test