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来源类型Working Paper
规范类型报告
DOI10.3386/w25132
来源IDWorking Paper 25132
Matrix Completion Methods for Causal Panel Data Models
Susan Athey; Mohsen Bayati; Nikolay Doudchenko; Guido Imbens; Khashayar Khosravi
发表日期2018-10-08
出版年2018
语种英语
摘要In this paper we study methods for estimating causal effects in settings with panel data, where a subset of units are exposed to a treatment during a subset of periods, and the goal is estimating counterfactual (untreated) outcomes for the treated unit/period combinations. We develop a class of matrix completion estimators that uses the observed elements of the matrix of control outcomes corresponding to untreated unit/periods to predict the “missing” elements of the matrix, corresponding to treated units/periods. The approach estimates a matrix that well-approximates the original (incomplete) matrix, but has lower complexity according to the nuclear norm for matrices. From a technical perspective, we generalize results from the matrix completion literature by allowing the patterns of missing data to have a time series dependency structure. We also present novel insights concerning the connections between the matrix completion literature, the literature on interactive fixed effects models and the literatures on program evaluation under unconfoundedness and synthetic control methods.
主题Econometrics ; Estimation Methods
URLhttps://www.nber.org/papers/w25132
来源智库National Bureau of Economic Research (United States)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/582806
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GB/T 7714
Susan Athey,Mohsen Bayati,Nikolay Doudchenko,et al. Matrix Completion Methods for Causal Panel Data Models. 2018.
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