Testing Monotonicity of Mean Potential Outcomes in a Continuous Treatment with High-Dimensional Data
高维数据下连续处理平均潜在结果的单调性检验
While most treatment evaluations focus on binary interventions, a growing literature also considers continuously distributed treatments. We propose a Cramér-von Mises-type test for testing whether the mean potential outcome given a specific treatment has a weakly monotonic relationship with the treatment dose under a weak unconfoundedness assumption. In a nonseparable structural model, applying our method amounts to testing monotonicity of the average structural function in…