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A0782
Title: High-dimensional regression adjustment estimation for average treatment effect with highly correlated covariates Authors:  Lili Yue - Nanjing Audit University (China) [presenting]
Abstract: Regression adjustment is often used to estimate the average treatment effect (ATE) in randomized experiments. Recently, some penalty-based regression adjustment methods have been proposed to handle the high-dimensional problem. However, these existing high-dimensional regression adjustment methods may fail to achieve satisfactory performance when the covariates are highly correlated. A novel adjustment estimation method is proposed for ATE by combining the semi-standard partial covariance (SPAC) and regression adjustment methods. Under some regularity conditions, the asymptotic normality of the proposed SPAC adjustment ATE estimator is shown. Some simulation studies and an analysis of HER2 breast cancer data are carried out to illustrate the advantage of the proposed SPAC adjustment method in addressing the highly correlated problem of the Rubin causal model.