Structure your answer by first explaining how you would use PSM to create a comparable control group, then apply DiD to estimate the treatment effect by comparing pre-post changes. Next, discuss when synthetic control is preferable (e.g., single treated unit, few controls, poor parallel trends) and finally introduce DML as a robust method for high-dimensional confounders, highlighting its use of orthogonalization and cross-fitting.
Pro tip: Emphasize that the validity of causal claims hinges on assumptions like unconfoundedness (PSM) and parallel trends (DiD), and always discuss sensitivity analyses or placebo tests to check robustness. For Amazon, tie your answer to practical scenarios like measuring the impact of a Prime Day campaign or a new feature rollout.
Describe how to estimate propensity scores using logistic regression or ML models, then match treated and control units to balance covariates. Mention checking balance and common support.
Explain the DiD setup: compare changes in outcomes over time between treated and control groups, assuming parallel trends. Highlight the need for pre-period data and testing the parallel trends assumption.
Discuss scenarios like a single treated unit (e.g., one region) with multiple control units, where DiD's parallel trends assumption is unlikely to hold. Synthetic control constructs a weighted combination of controls to mimic the treated unit's pre-treatment trajectory.
Explain DML: it uses ML models to estimate nuisance functions (e.g., outcome and treatment models) and then applies orthogonalization (e.g., partialling out) to obtain a debiased treatment effect estimate. Cross-fitting avoids overfitting.
Highlight that DML allows flexible ML models to control for many covariates without strict functional form assumptions, and the orthogonalization reduces regularization bias, leading to valid inference even when the number of covariates is large relative to sample size.
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