ADF Test vs Correlation Analysis

Toni2 — Tue, 13 Jul 2021 10:52:12 GMT

Hi I have a time series, which i check it for stationarity using ADF test and arima proc

proc arima data=&td19;
identify var=interest_rate stationarity=(adf=4);
run;
quit;

Below is the ADF test and trend & correlation analysis

i started from the table from the bottom (trend model) and using the Tau compared it with 5% until to reject the null. i concluded that the series is stationary since 0.0315<0.05 zero mean model

However, when i see the ACF/PACF, based on my understanding, the series in not stationary. This is because the ACF decays slowly

My questions are : is this series stationary or not?

Augmented Dickey-Fuller Unit Root Tests
Type	Lags	Rho	Pr < Rho	Tau	Pr < Tau	F	Pr > F
Zero Mean	0	-2.7655	0.2517	-2.46	0.014
	1	-5.0099	0.1214	-2.26	0.0237
	2	-3.982	0.168	-2.21	0.027
	3	-5.0286	0.1207	-2.27	0.0228
	4	-4.2696	0.1532	-2.14	0.0315
Single Mean	0	-2.5618	0.7064	-1.71	0.4237	3.03	0.2995
	1	-6.4379	0.3047	-2.17	0.2186	2.78	0.3619
	2	-4.6272	0.4645	-1.92	0.3218	2.49	0.437
	3	-6.5225	0.2983	-2.17	0.2192	2.8	0.3657
	4	-5.2232	0.4056	-1.93	0.315	2.39	0.4685
Trend	0	-3.4578	0.9132	-1.23	0.8994	1.52	0.8742
	1	-16.6892	0.1154	-2.83	0.1917	4.32	0.3133
	2	-10.7554	0.3659	-2.18	0.4973	2.8	0.6186
	3	-19.6884	0.0597	-2.79	0.2033	4.29	0.3316
	4	-15.4981	0.1473	-2.39	0.3834	3.22	0.5402

Re: ADF Test vs Correlation Analysis

Ksharp — Tue, 13 Jul 2021 12:26:01 GMT

Plz post your question at Forecasting Forum .

https://communities.sas.com/t5/SAS-Forecasting-and-Econometrics/bd-p/forecasting_econometrics

Re: ADF Test vs Correlation Analysis

Toni2 — Tue, 13 Jul 2021 12:29:40 GMT

thanks, i just posted!

topic Re: ADF Test vs Correlation Analysis in New SAS User

ADF Test vs Correlation Analysis

Re: ADF Test vs Correlation Analysis

Re: ADF Test vs Correlation Analysis