I am trying to see what model performs best. I am considering the Hausman test to see which model is the most stable out of the three. However, I am not sure what exactly my null hypothesis should be when I test three models, and if I should compare RE against Pooled OLS and then RE against FE.
Do you think that this is the correct way of testing? Also, is there another test or statistic that can be used in my case?