ACE_bounds: Bounds for the Average Causal Effect (ACE).

In noncompliance: Causal Inference in the Presence of Treatment Noncompliance Under the Binary Instrumental Variable Model

Description

The empirical bounds for the Average Causal Effect (ACE), under the assumptions of the Instrumental Variable (IV) model.

Usage

ACE_bounds(n_y0x0z0, n_y1x0z0 = NA, n_y0x1z0 = NA, n_y1x1z0 = NA,
  n_y0x0z1 = NA, n_y1x0z1 = NA, n_y0x1z1 = NA, n_y1x1z1 = NA)

Arguments

n_y0x0z0	Number of individuals with Y=0, X=0, Z=0. Alternatively, a vector with elements (either counts, p(y, x , z) or p(y, x | z)) in the order of the arguments.
n_y1x0z0	Number of individuals with Y=1, X=0, Z=0.
n_y0x1z0	Number of individuals with Y=0, X=1, Z=0.
n_y1x1z0	Number of individuals with Y=1, X=1, Z=0.
n_y0x0z1	Number of individuals with Y=0, X=0, Z=1.
n_y1x0z1	Number of individuals with Y=1, X=0, Z=1.
n_y0x1z1	Number of individuals with Y=0, X=1, Z=1.
n_y1x1z1	Number of individuals with Y=1, X=1, Z=1.

Value

The empirical bounds for the ACE.

References

Richardson, T. S.; Robins, J. M. (2014). ACE Bounds; SEMs with Equilibrium Conditions. Statist. Sci. 29, no. 3, 363-366..

Examples

ACE_bounds(158, 14, 0, 0, 52, 12, 23, 78)
ACE_bounds(c(158, 14, 0, 0, 52, 12, 23, 78))
ACE_bounds(99, 1027, 30, 233, 84, 935, 31, 422)
ACE_bounds(c(99, 1027, 30, 233, 84, 935, 31, 422))

Example output

[1] 0.3913319 0.7792107
[1] 0.3913319 0.7792107
[1] -0.6420409  0.2390209
[1] -0.6420409  0.2390209

noncompliance documentation built on May 2, 2019, 2:38 a.m.