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. Author manuscript; available in PMC: 2016 Aug 18.
Published in final edited form as: Struct Equ Modeling. 2011 Nov 14;18(2):195–211. doi: 10.1080/10705511.2011.557334

Table 3. Relative Bias of Standard Error of Mediated Effect across Simulation Conditions.

Number of Measurements Effect Size Sample Size

100 200 500 1,000 2,000 5,000
Three occasions
R2 = .5 Small 2.926 1.115 −0.082 −0.055 −0.007 0.006
Medium 9.514 1.694 −0.025 0.032 −0.022 −0.032
Large 9.741 1.265 0.028 −0.057 −0.025 −0.008
R2 = .8 Small −0.024 0.024 −0.070 −0.049 0.003 −0.020
Medium −0.040 0.025 0.023 −0.011 0.026 0.029
Large −0.124 −0.006 −0.052 0.022 0.007 −0.006
Five occasions
R2 = .5 Small −0.124 −0.007 −0.032 0.007 0.008 0.027
Medium −0.090 −0.041 −0.010 −0.033 0.026 0.008
Large −0.148 −0.058 −0.034 −0.019 0.040 −0.060
R2 = .8 Small 0.052 −0.034 −0.048 0.031 −0.085 0.030
Medium 0.009 0.003 −0.003 −0.009 −0.075 −0.014
Large −0.062 0.020 −0.056 0.010 −0.023 −0.057

Note. Effect size was defined as the proportion mediated: small = .10, medium = .30, and large = .50. R2 was the proportion of variances of the measured mediator and outcome accounted for by both intercept and slope factors. Standard error of mediated effect was obtained by Sobel's (1982) first-order delta-method.