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断点回归设计中的局部多项式阶数选择AI 解读

Treatment effect estimates in regression discontinuity (RD) designs are often sensitive to the choice of bandwidth and polynomial order, the two important ingredients of widely used local regression methods. While Imbens and Kalyanaraman and Calonico, Cattaneo, and Titiunik provided guidance on bandwidth, the sensitivity to polynomial order still poses a conundrum to RD practitioners. It is understood in the econometric literature that applying the argument of bias reduction…

广义回归折点设计中的因果效应推断AI 解读

A.1. Proofs of Propositions 1 and 2IN ORDER TO PROVE PROPOSITION 1, we first present and prove the following lemmas.LEMMA 1: Let ϕ(x t) : I × [c d] → R, where I is a compact subset of R m .Suppose ϕ(x t) and its partial derivative, ϕ 2 (x t), are continuous and that ϕ is integrable with respect to the probability measure α for each t.Then f (t) = ϕ(x t) dα(x) is continuously differentiable on [c d].PROOF: By Theorem 5 (p.97) of Roussas (2004), f (t) = ϕ 2 (x t) dα(x) for all…

This paper empirically assesses the wage effects of the Job Corps program, one of the largest federally funded job training programs in the U.S. Even with the aid of a randomized experiment, the impact of a training program on wages is difficult to study because of sample selection, a pervasive problem in applied microeconometric research. Wage rates are only observed for those who are employed, and employment status itself may be affected by the training program. This paper…

存在设定误差时的回归不连续推断AI 解读

A regression discontinuity (RD) research design is appropriate for program evaluation problems in which treatment status (or the probability of treatment) depends on whether an observed covariate exceeds a fixed threshold. In many applications the treatment-determining covariate is discrete. This makes it impossible to compare outcomes for observations "just above" and "just below" the treatment threshold, and requires the researcher to choose a functional form for the…

美国众议院选举中非随机选择产生的局部随机实验AI 解读

This paper establishes the relatively weak conditions under which causal inferences from a regression-discontinuity (RD) analysis can be as credible as those from a randomized experiment, and hence under which the validity of the RD design can be tested by examining whether or not there is a discontinuity in any pre-determined (or “baseline”) variables at the RD threshold. Specifically, consider a standard treatment evaluation problem in which treatment is assigned to an…