Using Secondary Outcomes to Sharpen Inference in Randomized Experiments With Noncompliance

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Principal stratification analysis using principal scores (2016, methodology): “…(c) normal outcome distributions within principal strata (e.g. Zhang et al. (2009) and Frumento et al. (2012)); (d) additional covariates or secondary outcomes (Ding et al., 2011; Mattei and Mealli, 2011; Mattei et al., 2013; Mealli and Pacini, 2013; Yang and Small, 2016; Jiang et al., 2016).”
Principal causal effect identification and surrogate end point evaluation by multiple trials (2015, background): “When the monotonicity or exclusion restriction assumption does not hold, Ding et al. (2011), Yan et al. (2011), Mealli and Pacini (2013) and Yang and Small (2015) achieved partial and point identification of principal causal effects by exploiting covariates or secondary outcomes, and Mattei et al.…”
Principal Stratification (2015, methodology): “…bounds (e.g., Cheng & Small, 2006; Grilli & Mealli, 2007; Jo & Vinokur, 2011), using auxiliary information such as proper priors (Hirano et al., 2000), covariates (Jo, 2002), or secondary outcomes (Mealli & Pacini, 2013), or explicitly changing sensitivity parameters (Roy, Hogan, & Marcus, 2008).”