ATOPsens {experiment} | R Documentation |
Sensitivity analysis for the ATOP when some of the Outcome Data are Missing Under the Matched-Pairs Design
Description
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.
Usage
ATOPsens(Ya, Yb, Ra, Rb, Ta, Tb, gamma, l, u, alpha, rep)
Arguments
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. |
Details
For the details of the method implemented by this function, see the references.
Value
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. |
Author(s)
Kosuke Imai, Department of Government and Department of Statistics, Harvard University imai@Harvard.Edu, https://imai.fas.harvard.edu; Zhichao Jiang, Department of Politics, Princeton University zhichaoj@princeton.edu.
References
Kosuke Imai and Zhichao Jiang (2018). “A Sensitivity Analysis for Missing Outcomes Due to Truncation-by-Death under the Matched-Pairs Design”, Statistics in Medicine.
Examples
data(seguro)
attach(seguro)
ATOPobs(Ya,Yb,Ra,Rb,Ta,Tb,gamma=0.95,kappa1=1,kappa0=1,l=0,u=1,alpha=0.05,rep=100)