Confidence intervals for confirmatory adaptive two-stage designs with treatment selection

2013 ◽  
Vol 55 (3) ◽  
pp. 294-309 ◽  
Author(s):  
Ionut Bebu ◽  
Vladimir Dragalin ◽  
George Luta
Keyword(s):  
Confidence Intervals ◽  
Treatment Selection ◽  
Two Stage

Inference for treatment effect parameters in potentially misspecified high-dimensional models

Biometrika ◽  
2020 ◽  
Author(s):  
Oliver Dukes ◽  
Stijn Vansteelandt
Keyword(s):  
Sample Size ◽  
Confidence Intervals ◽  
Treatment Effect ◽  
Observational Studies ◽  
Treatment Effects ◽  
Treatment Selection ◽  
High Dimensional ◽  
Selection Mechanism ◽  
Dimensional Models ◽  
Effect Parameter

Summary Eliminating the effect of confounding in observational studies typically involves fitting a model for an outcome adjusted for covariates. When, as often, these covariates are high-dimensional, this necessitates the use of sparse estimators, such as the lasso, or other regularization approaches. Naïve use of such estimators yields confidence intervals for the conditional treatment effect parameter that are not uniformly valid. Moreover, as the number of covariates grows with the sample size, correctly specifying a model for the outcome is nontrivial. In this article we deal with both of these concerns simultaneously, obtaining confidence intervals for conditional treatment effects that are uniformly valid, regardless of whether the outcome model is correct. This is done by incorporating an additional model for the treatment selection mechanism. When both models are correctly specified, we can weaken the standard conditions on model sparsity. Our procedure extends to multivariate treatment effect parameters and complex longitudinal settings.

scholarly journals Double Bootstrap Confidence Intervals in the Two-Stage DEA Approach

2015 ◽  
Vol 36 (5) ◽  
pp. 653-662 ◽  
Author(s):  
Dimitris K. Chronopoulos ◽  
Claudia Girardone ◽  
John C. Nankervis
Keyword(s):  
Confidence Intervals ◽  
Two Stage ◽  
Bootstrap Confidence Intervals ◽  
Double Bootstrap ◽  
Dea Approach

Two-Stage Fixed-Width Confidence Intervals for a Normal Mean in the Presence of Suspect Outliers

2013 ◽  
Vol 32 (2) ◽  
pp. 134-157 ◽  
Author(s):  
Bhargab Chattopadhyay ◽  
Nitis Mukhopadhyay
Keyword(s):  
Confidence Intervals ◽  
Two Stage ◽  
Normal Mean
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