Matching and Weighting With Functions of Error-Prone Covariates for Causal Inference
利用含测量误差协变量的函数进行因果匹配与加权
Matching estimators are commonly used to estimate causal effects in nonexperimental settings. Covariate measurement error can be problematic for matching estimators when observational treatment groups differ on latent quantities observed only through error-prone surrogates. We establish necessary and sufficient conditions for matching and weighting with functions of observed covariates to yield unconfounded causal effect estimators, generalizing results from the standard…