Description Usage Arguments Value References Examples

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

1 2 |

`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. |

The empirical bounds for the ACE.

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

1 2 3 4 | ```
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))
``` |

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

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