Fixed vs random effects in Python: what a Hausman test rejection really means
A DEV Community tutorial walks through choosing between fixed and random effects panel models using the wage_panel dataset from linearmodels, covering 545 individuals over eight years. The author computes a Hausman statistic by hand, getting chi-squared of 112.118 with 3 degrees of freedom and p near zero, which rejects the random effects assumption. The piece cautions that such a rejection only suggests RE is inappropriate and does not prove fixed effects is correct, since time-varying confounders remain. It also notes that fixed effects cannot estimate coefficients on time-invariant variables and that the classic Hausman test assumes homoskedastic errors, so the Mundlak regression-based approach is suggested for clustered standard errors. The author also mentions an online panel regression tool they are affiliated with.
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