Federico A. Bugni: all content

Showing 1 – 15 of 15 results

Working paper graphic

Subvector inference in PI models with many moment inequalities

Working Paper

This paper considers inference for a function of a parameter vector in a partially identified model with many moment inequalities. This framework allows the number of moment conditions to grow with the sample size, possibly at exponential rates. Our main motivating application is subvector inference, i.e., inference on a single component of the partially identified parameter vector associated with a treatment effect or a policy variable of interest.

12 June 2019

Working paper graphic

Inference under covariate-adaptive randomization with multiple treatments

Working Paper

This paper studies inference in randomized controlled trials with covariate-adaptive randomization when there are multiple treatments. More speci cally, we study in this setting inference about the average effect of one or more treatments relative to other treatments or a control.

22 January 2019

Working paper graphic

Testing continuity of a density via g -order statistics in the regression discontinuity design

Working Paper

In the regression discontinuity design (RDD), it is common practice to assess the credibility of the design by testing the continuity of the density of the running variable at the cut-off, e.g., McCrary (2008). In this paper we propose a new test for continuity of a density at a point based on the so-called g-order statistics, and study its properties under a novel asymptotic framework.

21 March 2018

Working paper graphic

Inference under covariate-adaptive randomization with multiple treatments

Working Paper

This paper studies inference in randomized controlled trials with covariate-adaptive randomization when there are multiple treatments. More specifically, we study in this setting inference about the average effect of one or more treatments relative to other treatments or a control. As in Bugni et al. (2017), covariate-adaptive randomization refers to randomization schemes that first stratify according to baseline covariates and then assign treatment status so as to achieve "balance" within each stratum. In contrast to Bugni et al. (2017), however, we allow for the proportion of units being assigned to each of the treatments to vary across strata.

2 August 2017

Working paper graphic

Inference under covariate-adaptive randomization

Working Paper

This paper studies inference for the average treatment effect in randomized controlled trials with covariate-adaptive randomization. Here, by covariate-adaptive randomization, we mean randomization schemes that first stratify according to baseline covariates and then assign treatment status so as to achieve "balance" within each stratum.

24 May 2017

Working paper graphic

Inference under Covariate-Adaptive Randomization

Working Paper

This paper studies inference for the average treatment eff ect in randomized controlled trials with covariate-adaptive randomization. Here, by covariate-adaptive randomization, we mean randomization schemes that first stratify according to baseline covariates and then assign treatment status so as to achieve "balance" within each stratum. Such schemes include, for example, Efron's biased-coin design and strati ed block randomization. When testing the null hypothesis that the average treatment eff ect equals a pre-speci fied value in such settings, we fi rst show that the usual two-sample t-test is conservative in the sense that it has limiting rejection probability under the null hypothesis no greater than and typically strictly less than the nominal level. In a simulation study, we fi nd that the rejection probability may in fact be dramatically less than the nominal level. We show further that these same conclusions remain true for a naïve permutation test, but that a modi fied version of the permutation test yields a test that is non-conservative in the sense that its limiting rejection probability under the null hypothesis equals the nominal level for a wide variety of randomization schemes. The modi fied version of the permutation test has the additional advantage that it has rejection probability exactly equal to the nominal level for some distributions satisfying the null hypothesis and some randomization schemes. Finally, we show that the usual t-test (on the coefficient on treatment assignment) in a linear regression of outcomes on treatment assignment and indicators for each of the strata yields a non-conservative test as well under even weaker assumptions on the randomization scheme. In a simulation study, we fi nd that the non-conservative tests have substantially greater power than the usual two-sample t-test.

10 May 2016