Fig. 10From: Analysis approaches to address treatment nonadherence in pragmatic trials with point-treatment settings: a simulation studyMean risk difference (RD) versus the nonadherence rate for the null effect using DAG 1. The grey lines are the lower and upper bound of the NPCB method. The naïve 2SLS and 2SRI share the same line, the first stage adjusted 2SLS and 2SRI share the same line, and both-stages adjusted 2SLS and 2SRI share the same line as they produce the same RD estimate. Abbreviations: ITT: intention-to-treat, PP: per-protocol, AT: as-treated, IP-weighted PP: inverse probability-weighted per-protocol, 2SLS: two-stage least square, 2SRI: two-stage residual inclusion, NPCB: nonparametric causal boundBack to article page