Dear All,

Hello,

First of all, i hope that you all and your families are doing well because of the pandemic. Hopping that the days to come will be much better.

I'm a PhD student in management sciences, and for my study i'm using an econometric model (panel data model). Actually, i'm studying the case of two countries, for 18 years and i have 31 observations.

I followed a paper studying same topic and used same model, but with less countries. So i used FE model as the basic one and pooled OLS & GMM for robustness.

But i want to ask a question about stationarity, i know that when we have  (T>N), we use the non stationary panel data analysis such as Fully Modified OLS (FMOLS), Dynamic OLS (DOLS), Pooled Mean Group (PMG) etc.  And when we have  (N>T), we apply the traditional panel data analysis such as fixed effect(FE), random effect(RE), pooled OLS(POLS) etc. 

But in my case even if i have  T>N  i used the traditional panel data, as basic one i used FE model because it control ou remove the unobserved time invariant variables. But before all this i used the unit root test. 

The question that i want to ask is related to stationarity, when we use FE, OLS or GMM should we do the unit root test or its irrelevant ? 

Actually, my variables are most of them stationary at level I(0) (because three of my variables are not stationary at level, but they all are stationary at first difference, so because i have them all stationary at first difference, i used Pooled OLS, i wanna know also, if what i did is correct ? When we have all the variables stationary at first difference, can we run Pooled OLS ?

If yes, do you have any reference saying that when we have all variables stationary at first difference, we can use pooled OLS.

If you can share your response or advice i would be very grateful.

Thank you in advance.

Best regards

Fatima

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