context("Test - Effectiveness")
library(sl3)
library(tmle3)
library(tmle3trans)
library(uuid)
library(assertthat)
library(data.table)
library(future)
# setup data for test
set.seed(1234)
n <- 1000
W1 <- sample(1:4, n, replace=TRUE, prob=c(0.1, 0.2, 0.65, 0.05))
W2 <- rnorm(n, 0.7, 1)
W3 <- rpois(n, 3)
S <- rbinom(n, 1, expit(1.4 - 0.6 * W1 - 2 * W2 + 0.7 * W3))
Y <- rnorm(n, -1 + .5 * W1 * sin(W3 + 8) + .2 * sqrt(abs(-W2^3 + exp(W2/(W3-3.5)))), .4)
data <- data.table(W1,W2,W3,S,Y)
node_list <- list(W = c("W1", "W2", "W3"), S = "S", Y = "Y")
data0 <- data[data[[node_list$S]] == 0, ]
data1 <- data[data[[node_list$S]] == 1, ]
### observed mean ###
YS0 <- data0[ ,colnames(data0) %in% node_list$Y, with=FALSE]
mean <- mean(as.matrix(YS0))
std <- sd(as.matrix(YS0)) / sqrt(length(as.matrix(YS0)))
### 1. Naive ###
WS1 <- data1[ ,colnames(data1) %in% node_list$W, with=FALSE]
YS1 <- data1[ ,colnames(data1) %in% node_list$Y, with=FALSE]
WS0 <- data0[ ,colnames(data0) %in% node_list$W, with=FALSE]
fit_y <- glm(paste(node_list$Y, "~", paste(node_list$W, collapse = " + ")),
family = gaussian(), data = cbind(WS1, YS1))
beta_y_cov <- as.matrix(vcov(fit_y))
psis <- predict(fit_y, newdata = WS0, type = 'response')
psi <- mean(psis)
# delta method:
#se <- sqrt(deltaMeanOLS(WS0, psis, beta_cov))
# non-parametric:
se <- sd(psis)/sqrt(length(psis))
CI95 <- wald_ci(psi, se)
### 2. TML ###
tmle_spec <- tmle_AOT(1, 0)
# define data
tmle_task <- tmle_spec$make_tmle_task(data, node_list)
# define learners
qlib <- make_learner_stack(
"Lrnr_mean",
"Lrnr_glm_fast",
"Lrnr_xgboost"
)
glib <- make_learner_stack(
"Lrnr_mean",
"Lrnr_glm_fast",
"Lrnr_xgboost"
)
ls_metalearner <- make_learner(Lrnr_nnls)
bn_metalearner <- make_learner(
Lrnr_solnp, metalearner_logistic_binomial,
loss_loglik_binomial
)
Q_learner <- make_learner(Lrnr_sl, qlib, ls_metalearner)
g_learner <- make_learner(Lrnr_sl, glib, bn_metalearner)
learner_list <- list(Y = Q_learner, S = g_learner)
# estimate likelihood
initial_likelihood <- tmle_spec$make_initial_likelihood(tmle_task, learner_list)
# define update method (submodel + loss function)
updater <- tmle3_Update$new()
targeted_likelihood <- Targeted_Likelihood$new(initial_likelihood, updater)
# define parameter
tmle_param <- tmle_spec$make_params(tmle_task, targeted_likelihood)
# fit
tmle_fit <- fit_tmle3(tmle_task, targeted_likelihood, tmle_param, updater)
# extract results
tmle_summary <- tmle_fit$summary
sl_psi <- tmle_summary$init_est
tmle_psi <- tmle_summary$tmle_est
tmle_se <- tmle_summary$se
tmle_epsilon <- updater$epsilons[[1]]$Y
tmle_CI95 <- wald_ci(tmle_psi, tmle_se)
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