Title
Statistical inference of heterogeneous treatment effect based on single-index model
Abstract
The heterogeneous treatment effect (HTE) is estimated by using the semiparametric regression method. Firstly, a flexible semiparametric single-index model is considered by assuming the nonparametric link function and the interaction between treatment and covariates, and the index parameter vector and the unknown link function are estimated by using the rMAVE method. Then a HTE estimator can be obtained based on the estimators of index parameter vector and the link function. The consistency and asymptotic normality of the HTE estimator are established under some regularity conditions. Secondly, a hypothesis test is developed for the existence of HTE, and the bootstrap procedure is utilized to evaluate the null distribution of test statistic. Finally, simulation studies and a real data analysis are conducted to assess the performance of our proposed method. (c) 2022 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2022
10.1016/j.csda.2022.107554
COMPUTATIONAL STATISTICS & DATA ANALYSIS
Keywords
DocType
Volume
Causal inference, Heterogeneous treatment effect, Propensity score, rMAVE, Single -index model
Journal
175
ISSN
Citations 
PageRank 
0167-9473
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Sanying Feng100.68
Kaidi Kong200.34
Yinfei Kong301.35
Gaorong Li46414.58
Zhaoliang Wang500.34