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. Author manuscript; available in PMC: 2022 Jul 1.
Published in final edited form as: Multivariate Behav Res. 2020 Jun 11;56(4):543–557. doi: 10.1080/00273171.2020.1771674

Table 4.

Results for Six Approaches in Estimating Mediation effects in Mediation Models with 3-class Mediators and 2-class Outcomes

Measurement
Quality
Std.
bias
Rel SE
bias
(%)
95% CI
coverage rate
(%)
RMSE
Adjusted One-step Good −0.01 2.76 94.90 0.059
Weak 0.01 4.84 95.30 0.069
Modal Good −0.55 3.66 89.50 0.049
Weak −0.84 3.52 85.30 0.052
ML Modal Good −0.02 3.52 95.30 0.059
Weak −0.06 3.50 94.40 0.069
ML Proportional Good −0.03 20.29 97.40 0.057
Weak −0.06 24.62 97.20 0.067
BCH Modal Good −0.02 −13.56 89.20 0.059
Weak −0.06 −23.86 85.80 0.069
BCH Modal & robust Good −0.02 3.78 95.20 0.059
Weak −0.06 3.95 94.30 0.069
BCH Proportional Good −0.04 −10.66 91.10 0.057
Weak −0.06 −21.32 87.10 0.066
BCH Proportional & robust Good −0.04 3.646 94.50 0.057
Weak −0.06 1.274 94.00 0.066

Note. Modal=standard three-step approach with modal assignment; ML Modal=modern three-step approach with modal assignment and maximum likelihood correction method; ML Proportional= modern three-step approach with proportional assignment and maximum likelihood correction method; BCH Modal=modern three-step approach with modal assignment and BCH correction method; modern three-step approach with proportional assignment and BCH correction method. robust=robust standard error estimator. Values exceeding the recommended cutoffs are in boldface.