Estimation uncertainty in repeated finite populations
Selected for the REStud North America Tour 2025
Abstract
Often, datasets cover much of the population under study — think of censuses
of firms or workers, or state-level panels. Yet, standard practice remains to treat the
sample as drawn from a hypothetical superpopulation, and classical finite-population
adjustments are of limited use since they rule out unobserved heterogeneity. In this
paper, I study settings where interest is in population averages over a latent
characteristic, and the data only provides noisy, repeated measurements. I show that
conventional standard errors are generally too large, and propose Finite Population
Corrections (FPCs) that guarantee non-conservative inference. FPCs are very simple
to implement via covariance restrictions. I apply these to (i) predicting lethal police
encounters using data from all U.S. police departments and (ii) studying labor
misallocation from a census of Indonesian firms. FPCs yield standard errors that
properly combine uncertainty from measurement and from sampling — and lead to
confidence intervals that are up to 50% shorter in these applications.
Micro responses to macro shocks
w/ Martín Almuzara
Reject and Resubmit at AER
Abstract
We study panel data regression models when the shocks of interest are aggregate
and there are omitted macro and micro-level shocks of any relative size. This speaks
to a large empirical literature that targets impulse responses via panel local
projections. We show how to interpret the estimated coefficients when responses are
heterogeneous and that a simple recipe leads to uniformly valid inference over the
macro–micro composition of the errors: including lags as controls and then
clustering at the time level. Finally, we use our methods to reassess the role of firm
financial frictions in shaping the transmission of monetary policy.
Estimating flexible income processes from subjective expectations data: evidence from India and Colombia
w/ Manuel Arellano,
Orazio Attanasio
and Sam Crossman
Revise and Resubmit at JPE: Micro
Abstract
We develop a methodology for modeling perceived household income processes when
subjective probabilistic assessments of future income are available. This allows us to
flexibly estimate conditional cdfs directly using elicited individual subjective
probabilities, and to obtain empirical measurements of subjective risk and subjective
persistence. We then use two longitudinal surveys collected in rural India and rural
Colombia to explore the nature of perceived income dynamics in those contexts. Our
results suggest linear income processes are rejected in favor of more flexible versions
in both cases; subjective income distributions feature heteroskedasticity, conditional
skewness and nonlinear persistence.