Description Usage Arguments Details Value Author(s) References Examples

This function computes the bounds on the average treatment effect among always-observed pairs (ATOP) with pre-specified sensivity parameters when some of the outcome data are missing. The sensivity parameter characterizes the degree of the within-pair similarity. The confidence intervals for the ATOP are also computed.

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`Ya` |
A vector of the outcomes of the first unit in the matched pairs. The missing values for |

`Yb` |
A vector of the outcomes of the second unit in the matched pairs. The missing values for |

`Ra` |
A vector of the missing data indicators of the first unit in the matched pairs. |

`Rb` |
A vector of the missing data indicators of the second unit in the matched pairs. |

`Ta` |
A vector of the treatment conditions of the first unit in the matched pairs. |

`Tb` |
A vector of the treatment conditions of the second unit in the matched pairs. |

`gamma` |
The sensitivity parameter which charaterizes the degree of the within-pair similarity. |

`l` |
The lower limit of the outcome. |

`u` |
The upper limit of the outcome. |

`alpha` |
A positive scalar that is less than or equal to 0.5. This will
determine the (1- |

`rep` |
The number of repetitions for bootstraping. |

For the details of the method implemented by this function, see the references.

A list of class `ATOPsens`

which contains the following items:

`LB` |
The lower bound for the ATOP. |

`UB` |
The upper bound for the ATOP. |

`LB.CI` |
The lower limit of the confidence interval for the ATOP. |

`UB.CI` |
The upper limit of the confidence interval for the ATOP. |

Kosuke Imai, Department of Politics, Princeton University [email protected], http://imai.princeton.edu; Zhichao Jiang, Department of Politics, Princeton University [email protected].

Kosuke Imai and Zhichao Jiang (2018).
“A Sensitivity Analysis for Missing Outcomes Due to
Truncation-by-Death under the Matched-Pairs Design”, *Technical Report*. Department of Politics, Princeton
University.

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