Misspecified Z-estimation and OLS with mixed (random+fixed) regressors yield conservative robust SEs and identify causal ATEs under randomization, with corrections for fully-interacted specs and clustered data.
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Misspecified regressions with mixed regressors: robust inference and causal interpretation
Misspecified Z-estimation and OLS with mixed (random+fixed) regressors yield conservative robust SEs and identify causal ATEs under randomization, with corrections for fully-interacted specs and clustered data.