RT Journal Article T1 Quantile-regression inference with adaptive control of size A1 Escanciano, Juan Carlos A1 Goh, Sze Chuan AB Regression quantiles have asymptotic variances that depend on the conditional densities of the response variable given regressors. This article develops a new estimate of the asymptotic variance of regression quantiles that leads any resulting Wald-type test or confidence region to behave as well in large samples as its infeasible counterpart in which the true conditional response densities are embedded. We give explicit guidance on implementing the new variance estimator to control adaptively the size of any resulting Wald-type test. Monte Carlo evidence indicates the potential of our approach to deliver powerful tests of heterogeneity of quantile treatment effects in covariates with good size performance over different quantile levels, data-generating processes, and sample sizes. We also include an empirical example. Supplementary material is available online PB Taylor & Francis SN 0162-1459 YR 2019 FD 2019-07-01 LK https://hdl.handle.net/10016/35068 UL https://hdl.handle.net/10016/35068 LA eng NO This work was partially supported by the Spanish Plan Nacional de I+D+I, reference number ECO2014-55858-P. DS e-Archivo RD 1 sept. 2024