polle (version 1.6.2)

sim_single_stage: Simulate Single-Stage Data

Description

Simulate Single-Stage Data

Usage

sim_single_stage(
  n = 10000,
  par = c(k = 0.1, d = 0.5, a = 1, b = -2.5, c = 3, p = 0.3),
  action_model = function(Z, L, B, k, d) {
     k * (Z + L - 1) * Z^(-2) + d * (B == 1)
    },
  utility_model = function(Z, L, A, a, b, c) {
     Z + L + A * (c * Z + a * L + b)
 },
  seed = NULL,
  return_model = FALSE,
  ...
)

Value

data.frame with n rows and columns Z, L, B, A, and U.

Arguments

n

Number of observations.

par

Named vector with distributional parameters.

• k: \(\kappa\)

• d: \(\delta\)

• a: \(\alpha\)

• b: \(\beta\)

• c: \(\gamma\)

• p: \(\pi\)

action_model

Function used to specify the action/treatment probability (logit link).

utility_model

Function used to specify the conditional mean utility.

seed

Integer.

return_model

If TRUE, the lava::lvm model is returned.

...

Additional arguments passed to lava::lvm().

Details

sim_single_stage samples n iid observation \(O = (B, Z, L, A, U)\) with the following distribution: $$ B \sim Bernoulli(\pi)\\ Z, L \sim Uniform([0,1])\\ A\mid Z,L,B \sim Bernoulli(expit\{\kappa Z^{-2}(Z+L-1) + \delta B)\\ U\mid Z,L,A \sim \mathcal{N}(Z+L+A\cdot\{\gamma Z + \alpha L + \beta\}, 1) $$