. Author manuscript; available in PMC: 2020 Sep 30.

Published in final edited form as: Stat Med. 2019 Jul 8;38(22):4334–4347. doi: 10.1002/sim.8300

Table 2.

Simulation estimated coverage and power (based on 500 replicates mimicking the dental data, n=200, from percentile method 95% confidence intervals, 300 bootstrap samples) for mediation (natural direct (D) and indirect (I)) effects on ratio scale; subscripts (20 and 40) indicate time points for indirect effects; m indicates the number of measurements. All 500 replicates used for m = 6 and 11; 499 used for m = 3

	Coverage (%)			Power (%)
_Estimand╲	m = 3	6	11	m = 3	6	11
D^r	0.954	0.948	0.952	0.164	0.254	0.286
$I_{20}^{r}$	0.948	0.924	0.942	0.862	0.978	0.982
$I_{40}^{r}$	0.948	0.932	0.932	0.808	0.958	0.978
ABC^r	0.920	0.916	0.942	0.794	0.916	0.972
$I_{20}^{r}$ (prop)	0.970	0.958	0.946	0.575	0.864	0.952
$I_{40}^{r}$ (prop)	0.990	0.972	0.958	0.415	0.654	0.782
ABC^r(prop)	0.972	0.958	0.946	0.589	0.826	0.918