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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 5.

Results for Three Approaches in Estimating Mediation effects in Mediation Models with 4-class Mediators and 2-class Outcomes

Measurement
Quality
Std.
bias
Rel SE
bias
(%)
95% CI
coverage rate
(%)
RMSE
Adjusted One-step Good 0.01 8.80 95.60 0.088
Weak 0.01 7.62 95.33 0.112
Modal Good −0.81 7.39 87.77 0.086
Weak −1.21 7.77 77.53 0.099
ML Modal Good −0.03 4.54 95.03 0.097
Weak −0.06 3.16 93.87 0.111
ML Proportional Good −0.06 20.89 98.00 0.094
Weak −0.10 29.70 98.13 0.105
BCH Modal Good −0.02 −17.82 89.00 0.098
Weak −0.05 −28.60 83.73 0.113
BCH Modal & robust Good −0.02 4.06 94.60 0.098
Weak −0.05 2.76 93.73 0.113
BCH Proportional Good −0.06 −16.00 89.40 0.095
Weak −0.10 −25.09 84.53 0.106
BCH Proportional & robust Good −0.06 4.18 94.07 0.095
Weak −0.10 2.80 92.73 0.106

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.