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The Fixed Effects model controls for all time-invariant, unobserved individual characteristics (e.g., cultural background, innate ability, historical factors). It does this by subtracting the time-series mean from each variable (the "within" transformation). xtreg y x1 x2 x3, fe Use code with caution.

: If the randomness assumption is violated, the coefficients will be biased and inconsistent. 4. Model Selection Tests

Now to the heart of the matter: estimating models.

| Pitfall | Consequence | Solution | |---------|------------|----------| | Forgetting xtset | Commands fail | Always start with xtset | | Mistaking i.id for FE | Inefficient / wrong model | Use xtreg, fe | | Using FE with time-invariant X | Variables dropped | Use RE or correlated random effects | | Ignoring serial correlation | Biased standard errors | Cluster or use xtregar | | Over-interpreting between R-squared in FE | Misleading | Focus on within R-squared | | Using xtreg, fe with T=2 and many units | Low power | Consider first-differences | | Applying RE when Hausman rejects | Inconsistent estimates | Use FE or Hausman-Taylor | | No lag structure in dynamic panel | Omitted variable bias | Include lags or use GMM |

xtdpdgmm wage L.wage experience union, gmm(L.wage, lag(2 4)) iv(experience union)

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It assumes there is no unobserved individual heterogeneity. If unique entity traits correlate with your independent variables, Pooled OLS estimates suffer from omitted variable bias. Fixed Effects (FE) Model

If significant serial correlation exists, use robust standard errors ( vce(robust) ) or a model that accounts for it.

Alternative to FE when errors are strongly serially correlated.

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