sim_chap08_1 <- function(n = 1e4, seed = 555) {
set.seed(seed)
# Generate the potential outcome Y(.,0) and Y(.,1)
Ydot0 <- rbinom(n, size = 1, prob = 0.05)
Ydot1 <- rbinom(n, size = 1, prob = 0.2)
# let A depend on Y(.,1)
probA <- (1 - Ydot1) * 0.1 + Ydot1 * 0.8
A <- rbinom(n, size = 1, prob = probA)
# Generate the potential outcome S(0) and S(1)
S0 <- rbinom(n, size = 1, prob = 0.05)
S1 <- rbinom(n, size = 1, prob = 0.9)
# S is a function of S0, S1 and A
S <- (1 - A) * S0 + A * S1
# Y is a function of Y(., 0) and Y(., 1) and S
Y <- (1 - S) * Ydot0 + S * Ydot1
data.frame(cbind(A, S, Y, Ydot0, Ydot1))
}
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