Bounds on causal effects in three-arm trials with non-compliance
The paper considers the analysis of three-arm randomized trials with non-compliance. In these trials, the average causal effects of treatments within principal strata of compliance behaviour are of interest for better understanding the effect of the treatment. Unfortunately, even with the usual assumptions, the average causal effects of treatments within principal strata are not point identified. However, the observable data do provide useful information on the bounds of the identification regions of the parameters of interest. Under two sets of assumptions, we derive sharp bounds for the causal effects within principal strata for binary outcomes and construct confidence intervals to cover the identification regions. The methods are illustrated by an analysis of data from a randomized study of treatments for alcohol dependence. Copyright 2006 Royal Statistical Society.
Year of publication: |
2006
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Authors: | Cheng, Jing ; Small, Dylan S. |
Published in: |
Journal of the Royal Statistical Society Series B. - Royal Statistical Society - RSS, ISSN 1369-7412. - Vol. 68.2006, 5, p. 815-836
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Publisher: |
Royal Statistical Society - RSS |
Saved in:
freely available
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