标题： 变化中的变化用于离散处理 显示英文标题

标题： Changes-In-Changes For Discrete Treatment

摘要： 本文将变化-变化（CIC）模型推广到处理离散治疗，具有超过两个类别的情况，扩展了Athey和Imbens（2006）的二元情况。 虽然原始的CIC模型适用于二元处理，但无法适应经济和政策环境中常见的多类别离散处理。 尽管最近的工作已将CIC扩展到连续处理，但多类别离散处理仍存在空白。 我引入了一个广义的CIC模型，将等级不变性假设适应到多个处理水平，从而在捕捉不同处理强度的不同效应的同时，实现稳健建模。 显示英文摘要

摘要： This paper generalizes the changes-in-changes (CIC) model to handle discrete treatments with more than two categories, extending the binary case of Athey and Imbens (2006). While the original CIC model is well-suited for binary treatments, it cannot accommodate multi-category discrete treatments often found in economic and policy settings. Although recent work has extended CIC to continuous treatments, there remains a gap for multi-category discrete treatments. I introduce a generalized CIC model that adapts the rank invariance assumption to multiple treatment levels, allowing for robust modeling while capturing the distinct effects of varying treatment intensities.