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Table 2 Assumptions of the estimation methods described in Table 1 that are used for addressing treatment nonadherence in pragmatic trials with point-treatment settings

From: Analysis approaches to address treatment nonadherence in pragmatic trials with point-treatment settings: a simulation study

Name of the method

Key assumption

Other assumptions

ITT, baseline-adjusted ITT, naïve PP, naïve AT

No unmeasured confounding

Consistency, no interference, positivity, nonadherence occurred completely at random

Baseline-adjusted PP, IP-weighted PP

No unmeasured confounding

Consistency, no interference, positivity, correct model specification

Naïve 2SLS, first-stage adjusted 2SLS, both-stages adjusted 2SLS

Exclusion restriction

Consistency, no interference, positivity, correct model specification, relevance, monotonicity

Naïve 2SRI, first-stage adjusted 2SRI, both-stages adjusted 2SRI

Exclusion restriction

Consistency, no interference, positivity, correct model specification, relevance, monotonicity, linearity of residuals

NPCB

Exclusion restriction

Consistency, no interference, positivity, relevance, monotonicity

  1. 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 model; NPCB: non-parametric causal bound.