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. 2017 Dec 18;78(6):952–972. doi: 10.1177/0013164417743003

Table 2.

Type I Error Rates of the Indirect Path Under Complete Mediation Vary by Between-Person Variance (BPvar).

Path Model
a b BPvar CSM SM DM CLPM3 CLPM5 MCSMa MLMb
0 0 0 0.000 0.000 0.002 0.000 0.000 0.000 0.000
0.0025 0.000 0.000 0.000 0.002 0.002 0.028 0.008
0.01 0.002 0.000 0.020 0.000 0.002 0.050 0.060
0.0225 0.002 0.006 0.058 0.004 0.002 0.047 0.067
0 0.36 0 0.034 0.042 0.036 0.022 0.044 0.044 0.028
0.0025 0.040 0.034 0.070 0.036 0.046 0.046 0.040
0.01 0.026 0.030 0.126 0.022 0.052 0.056 0.058
0.0225 0.069 0.089 0.240 0.048 0.058 0.052 0.054
0.36 0 0 0.030 0.044 0.032 0.024 0.042 0.070 0.032
0.0025 0.048 0.038 0.074 0.012 0.066 0.054 0.060
0.01 0.038 0.032 0.114 0.036 0.028 0.050 0.054
0.0225 0.036 0.036 0.192 0.040 0.058 0.047 0.039

Note. X and M are equally stable at 0.50, the c path is 0, and the y path is 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 MCSM and CSM analysis. MCSM uses all 100 people and all 100 time points for analysis. bMLM is the generating model for MLM, SM, DM, and CLPM analysis. MLM uses all 100 people and all 100 time points for analysis.