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.