Implements a generalized switching equation. Reveals observed outcomes from multiple potential outcomes variables and an assignment variable.
Arguments
- x
A formula with the outcome name on the left hand side and assignment variables on the right hand side (e.g.,
Y ~ Z).
Examples
dat <- fabricate(
N = 10,
U = rnorm(N),
potential_outcomes(Y ~ 0.1 * Z + U)
)
fabricate(
data = dat,
Z = rbinom(N, 1, prob = 0.5),
Y = reveal_outcomes(Y ~ Z)
)
#> ID U Y_Z_0 Y_Z_1 Z Y
#> 1 01 1.39086434 1.39086434 1.490864343 0 1.39086434
#> 2 02 -0.13750193 -0.13750193 -0.037501933 0 -0.13750193
#> 3 03 0.67033759 0.67033759 0.770337589 1 0.77033759
#> 4 04 -0.38786411 -0.38786411 -0.287864112 0 -0.38786411
#> 5 05 -0.09679926 -0.09679926 0.003200736 0 -0.09679926
#> 6 06 -1.01883212 -1.01883212 -0.918832124 1 -0.91883212
#> 7 07 -1.64976624 -1.64976624 -1.549766235 1 -1.54976624
#> 8 08 1.39843365 1.39843365 1.498433648 1 1.49843365
#> 9 09 -0.39910974 -0.39910974 -0.299109742 0 -0.39910974
#> 10 10 -0.32915564 -0.32915564 -0.229155635 1 -0.22915564
fabricate(
N = 10,
U = rnorm(N),
potential_outcomes(Y ~ 0.1 * Z1 + 0.3 * Z2 + 0.5 * Z1 * Z2 + U,
conditions = list(Z1 = c(0, 1),
Z2 = c(0, 1))),
Z1 = rbinom(N, 1, prob = 0.5),
Z2 = rbinom(N, 1, prob = 0.5),
Y = reveal_outcomes(Y ~ Z1 + Z2)
)
#> ID U Y_Z1_0_Z2_0 Y_Z1_1_Z2_0 Y_Z1_0_Z2_1 Y_Z1_1_Z2_1 Z1 Z2
#> 1 01 -1.03747679 -1.03747679 -0.93747679 -0.737476793 -0.137476793 1 1
#> 2 02 -0.33526269 -0.33526269 -0.23526269 -0.035262690 0.564737310 0 1
#> 3 03 -0.07960838 -0.07960838 0.02039162 0.220391615 0.820391615 0 1
#> 4 04 -0.30783934 -0.30783934 -0.20783934 -0.007839345 0.592160655 1 0
#> 5 05 0.42157073 0.42157073 0.52157073 0.721570730 1.321570730 1 1
#> 6 06 -0.21227139 -0.21227139 -0.11227139 0.087728611 0.687728611 0 1
#> 7 07 -2.29019919 -2.29019919 -2.19019919 -1.990199189 -1.390199189 1 0
#> 8 08 -0.90782256 -0.90782256 -0.80782256 -0.607822561 -0.007822561 1 1
#> 9 09 0.85824078 0.85824078 0.95824078 1.158240781 1.758240781 0 1
#> 10 10 -1.24086120 -1.24086120 -1.14086120 -0.940861195 -0.340861195 1 1
#> Y
#> 1 -0.137476793
#> 2 -0.035262690
#> 3 0.220391615
#> 4 -0.207839345
#> 5 1.321570730
#> 6 0.087728611
#> 7 -2.190199189
#> 8 -0.007822561
#> 9 1.158240781
#> 10 -0.340861195