get_oracle_bias_var_adj2c: Estimate the oracle bias, the exact variance and approximated...

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

Estimate the oracle bias, the exact variance and approximated variance of the debiased estimator tau_adj2c inspired by HOIF (Zhao et al.(2024)).

Description

Estimate the oracle bias, the exact variance and approximated variance of the debiased estimator tau_adj2c inspired by HOIF (Zhao et al.(2024)).

Usage

get_oracle_bias_var_adj2c(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 oracle bias and variance of the debised adjusted estimator tau_adj2c.

bias_adj2c	The oracle bias of the debiased estimator tau_adj2c.
variance_exact_adj2c	The oracle exact bias of the debiased estimator tau_adj2c.
variance_approx_adj2c	The oracle approximated variance of the debiased estimator tau_adj2c which omits the term of order o(1/n).
variance_unadj	The oracle variance of the unadjusted estimator.

References

Zhao, S., Wang, X., Liu, L., & Zhang, X. (2024). Covariate adjustment in randomized experiments motivated by higher-order influence functions. arXiv preprint. https://arxiv.org/abs/2411.08491.

Examples

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