Dickey Fuller Test Sine Wave or seasonallity

AI Thread Summary
The discussion centers on the application and validity of the Dickey-Fuller test, particularly in relation to sine wave data and seasonality. The user questions whether seasonality needs to be accounted for when testing a sine wave, which is inherently non-stationary. They report using MATLAB to test a sine wave and receiving a result indicating stationarity, prompting confusion about the implications. Additionally, there is uncertainty regarding the pre-processing of pseudo oscillatory data and the appropriate number of lags to include in the analysis. Clarification on these points is sought to ensure accurate application of the Dickey-Fuller test.
EmmaSaunders1
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Hi can someone please clarify info regarding the application and validity of the Dickey Fuller test.

If I perform the test using a sine wave would I be required to somehow take into account the seasonality. From my understanding a sine wave is non stationary, using the MATLAB command below I receive a value for hd of 1 and therefore can reject the unit root hypothesis and thus the signal is stationary, does this make sense? I have searched for answers to no avail.

[hd pValue]=adftest(sin(0:0.1:300));

In general I have some pseudo oscillatory data and do not know if I need to pre-process the data to remove seasonality before performing this test? If someone could enlighten me on the amount of lags I am required to keep that would also be great.

Thanks for any help
 
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