get_oracle_bias_var_adj_db: Estimate the oracle bias, the oracle variance of the...

In HOIFCar: Covariate Adjustment in RCT by Higher-Order Influence Functions

Estimate the oracle bias, the oracle variance of the unadjusted estimator, the adjusted estimator by Lei’s (2020) and the debiased estimator tau_db by Lu et al.(2023).

Description

Estimate the oracle bias, the oracle variance of the unadjusted estimator, the adjusted estimator by Lei’s (2020) and the debiased estimator tau_db by Lu et al.(2023).

Usage

get_oracle_bias_var_adj_db(X, Y1, n1 = NULL)

Arguments

X	The n by p covariates matrix.
Y1	Vector of n dimensional potential response Y(1).
n1	The number of subjects in the treatment group.

Value

A list of the oracle bias and variance of .

bias_adj	The oracle bias of the adjusted estimator tau_adj we proposed.
variance_unadj	The oracle variance of the unadjusted estimator.
variance_adj_lin	The oracle variance of Lei’s (2020) debiased estimator with linear working model.
variance_db	The oracle variance of the debiased estimator tau_db by Lu et al.(2023).

References

Lihua Lei, Peng Ding. Regression adjustment in completely randomized experiments with a diverging number of covariates. Biometrika, 815–828, 2020.

Xin Lu, Fan Yang, and Yuhao Wang. Debiased regression adjustment in completely randomized experiments with moderately high-dimensional covariates. arXiv preprint arXiv:2309.02073, 2023.

Examples

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HOIFCar documentation built on June 25, 2025, 5:10 p.m.