The choice of the autocorrelation option (ar1 vs psar1) when implementing the linear regression with panel-corrected standard errors significantly impacts my estimation. The statistical significance is lost for my most important explanatory variable once I use psar1 option.
I could not find in the literature that there exist a specific test for the selection of ar1 vs psar1.
How do I decide?
I know that my panels have cross-sectional dependence (tested & confirmed). Would this be a sufficient rational to conclude that autocorrelation structure could be the same across all panels.
I also know that in their article Beck & Katz (1995) make a case against using psar1 option with xtpcse estimation.
Thank you for your feedback in advance!
Zana