Table 5.
Type I Error Rates of the Indirect Path Under Partial Mediation Vary by Stability Under Misspecified Lag.
| Path | Stability | Model | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| a | b | X | M | CSM | SM | DM | CLPM3 | CLPM5 | MCSMa | MLMb |
| 0 | 0 | 0.36 | 0.36 | 0.002 | 0.000 | 0.000 | 0.000 | 0.002 | 0.002 | 0.000 |
| 0.36 | 0.50 | 0.000 | 0.000 | 0.000 | 0.000 | 0.002 | 0.008 | 0.000 | ||
| 0.50 | 0.36 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | ||
| 0.50 | 0.50 | 0.002 | 0.000 | 0.000 | 0.000 | 0.002 | 0.006 | 0.000 | ||
| 0 | 0.36 | 0.36 | 0.36 | 0.000 | 0.000 | 0.004 | 0.002 | 0.002 | 0.014 | 0.006 |
| 0.36 | 0.50 | 0.000 | 0.004 | 0.004 | 0.008 | 0.002 | 0.022 | 0.016 | ||
| 0.50 | 0.36 | 0.014 | 0.006 | 0.010 | 0.002 | 0.004 | 0.008 | 0.038 | ||
| 0.50 | 0.50 | 0.000 | 0.002 | 0.004 | 0.002 | 0.014 | 0.040 | 0.014 | ||
| 0.36 | 0 | 0.36 | 0.36 | 0.012 | 0.016 | 0.002 | 0.000 | 0.008 | 1.000 | 0.024 |
| 0.36 | 0.50 | 0.038 | 0.026 | 0.004 | 0.002 | 0.006 | 0.998 | 0.020 | ||
| 0.50 | 0.36 | 0.028 | 0.042 | 0.004 | 0.004 | 0.004 | 1.000 | 0.014 | ||
| 0.50 | 0.50 | 0.078 | 0.050 | 0.002 | 0.006 | 0.000 | 1.000 | 0.012 | ||
Note. The c and y paths are 0.36 for all conditions. All path coefficients are fixed. Type I error rates outside of the range [0.025,0.075] are italicized, those over are boldfaced. CSM = cross-sectional mediation; SM = sequential mediation; DM = dynamic mediation; CLPM = cross-lagged panel mediation; MCSM = multilevel cross-sectional mediation; MLM = multilevel longitudinal mediation.
a
MCSM is the generating model for SM, DM, CLPM, and MLM analysis. MCSM uses all 100 people and all 100 time points for analysis. bMLM is the generating model for CSM and MCSM analysis. MLM uses all 100 people and all 100 time points for analysis.