Estimation of Causal Effects via Principal Stratification When Some Outcomes are Truncated by “Death”

By Junni L. Zhang, Donald B. Rubin. 2003

379 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e7fbd40f280854b8324aef33e335cba58bac269a

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In Statistics and Probability

Citations in the corpus

Identifiability and Estimation of Causal Effects by Principal Stratification With Outcomes Truncated by Death (2011, background): “The bounds given by Zhang and Rubin (2003) are −1 ≤ ACELL ≤ 1.”
Partial Identification of Local Average Treatment Effects With an Invalid Instrument (2013, background): “Assumption 5 is implicit in some selection and single-index models, and similar monotonicity assumptions across strata have been considered previously in other settings (e.g., Zhang and Rubin 2003; Zhang, Rubin, and Mealli 2008, 2009).”
Principal stratification analysis using principal scores (2016, background): “Without these assumptions, however, large sample bounds of causal effects are often too wide to be informative (Zhang and Rubin, 2003; Cheng and Small, 2006).”
On Partial Identification of the Pure Direct Effect (2015, background): “…inference when structural assumptions are not sufficiently strong to give point identification of a causal parameter of interest (Robins, 1989; Balke and Pearl, 1997; Zhang and Rubin, 2003; Kaufman et al., 2005; Cheng and Small, 2006; Cai et al., 2008; Sjölander, 2009; Taguri and Chiba, 2015).”
Simple relations between principal stratification and direct and indirect effects (2008, background): “Barnard et al. (2003), Zhang and Rubin (2003), Shepherd et al. (2006), Cheng and Small (2006), Frangakis et al. (2007), Shepherd et al. (2007) and Imai (2008) consider various identification strategies, bounds and applications for the concepts of principal stratification and principal effects.”
Transparent Parametrizations of Models for Potential Outcomes (2012, methodology): “Bounds for ACDEAT and ACDENT have been derived by Zhang and Rubin (2003); Hudgens et al. (2003) and Imai (2008).”
Using Secondary Outcomes to Sharpen Inference in Randomized Experiments With Noncompliance (2013, background): “The bounds in the following Corollary 1 coincide with the bounds on principal direct effects in Zhang and Rubin (2003), Imai (2008), Lee (2009) (see also Richardson, Evans, and Robins 2011), and are only reformulated here using our notation.”
A Note on Dropping Experimental Subjects who Fail a Manipulation Check (2019, background): “In a generalization of Lee (2009) (which imposes a monotonicity assumption) and Zhang and Rubin (2003), we derive sharp bounds on potential outcome means E [Y (z )`S (1) = 1, S (2) = 1, . . . , S (K ) = 1].5 PROPOSITION 1.”
Principal causal effect identification and surrogate end point evaluation by multiple trials (2015, methodology): “Zhang and Rubin (2003) and Cheng and Small (2006) proposed large sample bounds of causal effects within some principal strata, which, however, may be too wide to be informative.”
Testing Instrument Validity for LATE Identification Based on Inequality Moment Constraints (2015, background): “…demonstrate how the width of the bounds can be tightened further to increase testing power (in the sense of finding more violations of the IV assumptions) by imposing dominance of the mean potential outcome of one population over another (see also Huber & Mellace, 2010, and Zhang & Rubin, 2003).”
Defining and Estimating Intervention Effects for Groups that will Develop an Auxiliary Outcome (2006, background): “…a Bayesian approach, in which prior information is combined with the likelihood to produce a posterior (Imbens and Rubin, 1997), and approaches which derive bounds on causal effects (Balke and Pearl, 1997; Manski, 1990; Robins, 1989; Rubin, 2004; Zhang and Rubin, 2003; Cheng and Small, 2006).”
Likelihood-Based Analysis of Causal Effects of Job-Training Programs Using Principal Stratification (2009, methodology): “Another assumption, considered in Zhang and Rubin (2003) that can be used to sharpen bounds is ‘‘stochastic dominance.’’”
Augmented designs to assess principal strata direct effects (2011, background): “…effects have been developed (e.g. Barnard et al. (2003), Cheng and Small (2006), Cheng et al. (2009), Frangakis et al. (2007), Gallop et al. (2009), Imai (2008), Lee (2009), Lynch et al. (2008), Mattei and Mealli (2007), Sjölander et al. (2009), Zhang and Rubin (2003) and Zhang et al. (2009)).”