###### Example of TMLE for the treatment-specific mean E[Y_1]
Qbar0 <- function(A, W) {
W1 <- W[, 1]
W2 <- W[, 2]
Qbar <- plogis(A + A * W1 + W2)
return(Qbar)
}
g0 <- function(W) {
W1 <- W[, 1]
W2 <- W[, 2]
# rep(0.5, nrow(W))
plogis(0.25 * W1 - 0.1 * W2)
}
gen_data <- function(n = 1000, p = 2) {
W <- matrix(rnorm(n * p), nrow = n)
colnames(W) <- paste("W", seq_len(p), sep = "")
A <- rbinom(n, 1, g0(W))
u <- runif(n)
Y <- as.numeric(u < Qbar0(A, W))
data.frame(W, A, Y)
}
data <- gen_data(1000)
Wnodes <- grep("^W", names(data), value = T)
gk <- g0(data[, Wnodes])
Qk <- Qbar0(data$A, data[, Wnodes])
Q1k <- Qbar0(1, data[, Wnodes])
initdata <- data.frame(A = data$A, Y = data$Y, gk = gk, Qk = Qk, Q1k = Q1k)
result <- gentmle(initdata = initdata, params = list(param_EY1), approach = "recursive")
print(result)
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