The Inverse Probability Weighted Estimator of the Marginal Mean Given a Specific Treatment Regime
The Inverse Probability Weighted Estimator of the Marginal Mean Given a Specific Treatment Regime
Estimate the marginal mean of the response when the entire population follows a treatment regime. This function implements the inverse probability weighted estimator proposed by Baqun Zhang et. al..
This function supports the mestimate function.
mean_est(beta, x, a, y, prob)
Arguments
beta: a vector indexing the treatment regime. It indexes a linear treatment regime:
x: a matrix of observed covariates from the sample. Notice that we assumed the class of treatment regimes is linear. This is important that columns in x matches with beta.
a: a vector of 0s and 1s, the observed treatments from a sample
y: a vector, the observed responses from a sample
prob: a vector, the propensity scores of getting treatment 1 in the samples