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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 3.

Results for Six Approaches in Estimating Mediation Effects in Mediation Models with 2-class Mediators and 2-class outcomes

Measurement
Quality
Std.
bias
Rel SE
bias
(%)
95% CI
coverage rate
(%)
RMSE
Adjusted One-step Good −0.09 4.37 95.40 0.055
Weak −0.18 6.88 94.80 0.060
Modal Good −1.08 3.26 72.60 0.058
Weak −2.05 8.10 57.20 0.074
ML Modal Good −0.10 8.33 94.00 0.060
Weak −0.48 9.72 90.20 0.063
ML Proportional Good −0.12 21.00 98.40 0.054
Weak −0.24 33.46 97.60 0.059
BCH Modal Good −0.10 −17.98 88.40 0.060
Weak −0.48 −20.00 81.00 0.063
BCH Modal & robust Good −0.10 7.01 94.40 0.060
Weak −0.48 8.22 90.20 0.063
BCH Proportional Good −0.12 −9.72 90.20 0.054
Weak −0.24 −15.26 86.60 0.059
BCH Proportional & robust Good −0.12 5.22 95.20 0.054
Weak −0.24 6.74 93.00 0.059

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.