只有两个横截面单位的差异 -- 民主与增长辩论的新视角

Gilles Koumou, Emmanuel Selorm Tsyawo
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摘要

集合面板分析往往会掩盖特定单位治疗效果的异质性。例如,关于民主对经济增长影响的现有研究并没有达成共识,因为实证研究结果在面板的国家构成方面存在很大的异质性。与集合面板分析不同,本文提出了一种差分(DiD)估计方法,利用数据中的时间维度,估计特定单位对被治疗者的平均治疗效果(ATT),只需两个跨部门单位。在弱识别和时间依赖性条件下,DiD 估计器是渐近正态的。此外,该估计器还得到了至少两个候选控制单元的识别检验的补充。使用 DiD 估计器的实证结果表明,如果贝宁没有实现民主化,1993-2018 年期间的经济规模平均会缩小 6.3%。
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Difference-in-differences with as few as two cross-sectional units -- A new perspective to the democracy-growth debate
Pooled panel analyses tend to mask heterogeneity in unit-specific treatment effects. For example, existing studies on the impact of democracy on economic growth do not reach a consensus as empirical findings are substantially heterogeneous in the country composition of the panel. In contrast to pooled panel analyses, this paper proposes a Difference-in-Differences (DiD) estimator that exploits the temporal dimension in the data and estimates unit-specific average treatment effects on the treated (ATT) with as few as two cross-sectional units. Under weak identification and temporal dependence conditions, the DiD estimator is asymptotically normal. The estimator is further complemented with a test of identification granted at least two candidate control units. Empirical results using the DiD estimator suggest Benin's economy would have been 6.3% smaller on average over the 1993-2018 period had she not democratised.
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