. Author manuscript; available in PMC: 2025 Aug 25.

Published in final edited form as: Ann Appl Stat. 2023 May 1;17(2):1592–1614. doi: 10.1214/22-aoas1684

Table 3.

Simulation results for discovering dose-response relationship under partial compliance. We consider the estimating procedure described in Section 4.3, with or without covariate adjustment, and report the bias, probability of rejecting the null hypothesis (PoR), and the coverage probability of nominal 0.95 confidence intervals (CP)

$γ$	Covariate adjustment	Bias	PoR	CP
log(1) = 0	No	0.00	0.05	0.95
log(1) = 0	Yes	0.00	0.04	0.96
log(0.6) = −0.51	No	−0.01	0.10	0.95
log(0.6) = −0.51	Yes	0.00	0.13	0.95
log(0.2) = −1.61	No	−0.01	0.46	0.95
log(0.2) = −1.61	Yes	0.00	0.81	0.95