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This paper studies difference-in-differences with staggered adoption and a continuous, time-invariant dose. Each cohort-time comparison contains two margins. The level margin is the average treatment effect at realized doses. Under level parallel trends it equals the level contrast between the treated cohort and not-ye...
A heterogeneity-robust orthogonal score is constructed that restores $\sqrt{N}$ inference on the fixed, learner-invariant target at no efficiency cost, and a Hausman-type diagnostic and identification-robust confidence sets are provided.
Instrumental-variables estimation increasingly pools many or high-dimensional instruments into a single machine-learned first stage, with rich controls partialled out. The resulting estimand, the partialled-out IV coefficient built from any signal of the instruments, is a signal-weighted average of the heterogeneous ef...
This paper proposes a robust nonparametric hypothesis test for the existence of heterogeneous treatment effects. We focus on the variance of the Conditional Average Treatment Effect (CATE) as a natural omnibus parameter, where a non-zero variance implies the presence of relevant heterogeneity. Standard inference for th...
A heterogeneity-robust orthogonal score is constructed that restores $\sqrt{N}$ inference on the fixed, learner-invariant target at no efficiency cost, and a Hausman-type diagnostic and identification-robust confidence sets are provided.
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