I am running a regression analysis on a panel data set. The Hausman test and the logical setup of the research question indicate that a fixed effects model would be best for running the regression.
But I am unsure now what kind of assumptions I need to test for ? The "normal" assumptions of heteroscedasticity, autocorrelation, exogeneity, ...? Or is it enough to run the Hausman test as it tells me the most important assumption for fixed effects is fulfilled (namely: the individual specific effect is correlated with the independent variables)?