Econometrics Flashcards
What matters for the relevance criterion and what is a rule of thumb?
Significance level (not magnitude)
F statistic of at least 20
How can you test the exclusion restriction?
You cannot, but you can test specific violations
Two steps of IV analysis
First stage: regress predictor on instrument
Reduced form: regress outcome on instrument
What do you do if you have covariates in your IV analysis?
Include the same covariates in the first stage and the reduced form
What technique can you use if you have multiple instruments?
Two-stage least squares: takes optimally weighted combination of instruments
What is the ITT in an encouragement design?
Causal effect of encouragement
What can bias the ITT in an encouragement design?
- Randomization failure
- Spillover
- Attrition correlated with instrument
In an encouragement design, what can we still know if the exclusion restriction is violated?
ITT is still valid
What additional requirement (besides the usual IV requirements) do we have in an encouragement design?
Need successful randomization (no failure by chance, manipulation, or attrition)
What is the LATE? What analysis does it result from? Who does it apply to? What assumptions are required? Why does this matter?
- Local average treatment effect
- IV estimator
- Compliers
- Independence and monotonicity
- Whether the compliers are a population we care about determines whether we have an external validity problem
What is the IV assumption of independence?
The instrument is effectively randomly assigned – it’s not related to potential outcomes or potential take-up.
What is the IV assumption of monotonicity?
There are no “defiers”
Four ways to test the validity of an instrument
- Regress potential confounders on instrument
- Estimate IV causal effect with and without covariates
- Check whether attrition is correlated with instrument
- Falsification tests
Assumptions of regression discontinuity
- Correct functional form between running variable and outcome
- Potential outcomes continuous at threshold with no manipulation and nothing other than treatment happening at threshold (identification assumption)
What is the trade-off for a smaller bandwidth? What is an alternative approach?
- Reduces the importance of functional form assumptions so less likely to find a fake discontinuity
- People in region tend to be more similar
- Less precise estimates
- Weight obs by distance from cutoff