Heteroscedasticity-Robust Inference in Linear Regression Models With Many Covariates

B-Tier
Journal: Journal of the American Statistical Association
Year: 2022
Volume: 117
Issue: 538
Pages: 887-896

Score contribution per author:

2.011 = (α=2.01 / 1 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We consider inference in linear regression models that is robust to heteroscedasticity and the presence of many control variables. When the number of control variables increases at the same rate as the sample size the usual heteroscedasticity-robust estimators of the covariance matrix are inconsistent. Hence, tests based on these estimators are size distorted even in large samples. An alternative covariance-matrix estimator for such a setting is presented that complements recent work by Cattaneo, Jansson, and Newey. We provide high-level conditions for our approach to deliver (asymptotically) size-correct inference as well as more primitive conditions for three special cases. Simulation results and an empirical illustration to inference on the union premium are also provided. Supplementary materials for this article are available online.

Technical Details

RePEc Handle
repec:taf:jnlasa:v:117:y:2022:i:538:p:887-896
Journal Field
Econometrics
Author Count
1
Added to Database
2026-01-25