Table 5.
Mean Square. Bias and Relative Bias of the Standard Error of the Mediated Effect
| Sample Size | 10 | 25 | 50 | 100 | 200 | 500 | 1000 | 5000 |
|---|---|---|---|---|---|---|---|---|
| Continuous Independent Variable | ||||||||
| Mean Square | ||||||||
| sc−c′ | .03123 | .00280 | .00059 | .00013 | .000032 | 4.94E-6 | 1.22E-6 | 4.86E-8 |
| First Order | .02323 | .00236 | .00053 | .00013 | .000031 | 4.87E-6 | 1.21E-6 | 4.84E-8 |
| Second Order | .02418 | .00231 | .00052 | .00012 | .000031 | 4.84E-6 | 1.20E-6 | 4.84E-8 |
| Unbiased | .02304 | .00244 | .00055 | .00013 | .000031 | 4.92E-6 | 1.22E-6 | 4.85E-10 |
| Bias | ||||||||
| sc−c′ | .04566 | .01004 | .00364 | .00116 | .000425 | 0.000095 | 0.000032 | 4.98E-6 |
| First Order | .01514 | .00239 | .00089 | .00018 | .000079 | 1.94E-6 | −4.36E-6 | 2.23E-6 |
| Second Order | .04887 | .01072 | .00384 | .00123 | .000453 | 0.000096 | 0.000033 | 5.18E-6 |
| Unbiased | .00540 | −.00277 | .00142 | −.00071 | −.000263 | −0.000091 | −0.000034 | −7.22E-6 |
| Relative Bias | ||||||||
| sc−c′ | .20113 | .10244 | .06029 | .03085 | .015479 | 0.006722 | 0.002565 | 0.000866 |
| First Order | .06685 | .02611 | .01417 | .00495 | .001993 | 0.000606 | −0.000467 | 0.000269 |
| Second Order | .21218 | .10601 | .06193 | .03245 | .017021 | 0.006899 | 0.002738 | 0.000908 |
| Unbiased | .03435 | −.01189 | −.01472 | −.01333 | −.010098 | −0.005480 | −0.003733 | −0.000372 |
| Binary Independent Variable | ||||||||
| Mean Square | ||||||||
| sc−c′ | .17679 | .06614 | .03360 | .01707 | .00861 | .003459 | 0.00173 | 0.00035 |
| First Order | .05571 | .00687 | .00165 | .00043 | .00011 | .000017 | 4.31E-6 | 1.74E-6 |
| Second Order | .05404 | .00641 | .00155 | .00041 | .00010 | .000017 | 4.28E-6 | 1.74E-9 |
| Unbiased | .05690 | .00724 | .00176 | .00045 | .00011 | .000018 | 4.36E-6 | 1.74E-6 |
| Bias | ||||||||
| sc−c′ | .33167 | .24044 | .17666 | .12732 | .09087 | .05776 | .04095 | .01833 |
| First Order | .00637 | .00083 | −.00019 | −.00026 | −.00001 | −.00003 | 8.35E-6 | 1.08E-6 |
| Second Order | .07565 | .02039 | .00717 | .00247 | .00097 | .00022 | .00009 | 8.99E-6 |
| Unbiased | −.00509 | −.00801 | −.00491 | −.00229 | −.00085 | −.00027 | −.00008 | −7.84E-7 |
| Relative Bias | ||||||||
| sc−c′ | .82268 | 1.31105 | 1.56660 | 1.74664 | 1.86352 | 1.94681 | 1.98129 | 2.00740 |
| First Order | .02418 | .01615 | .00577 | .00112 | .00233 | −.00111 | .00087 | .00038 |
| Second Order | .19698 | .12882 | .07922 | .04592 | .02777 | .01011 | .00656 | .00153 |
| Unbiased | .00379 | −.02122 | −.02881 | −.02375 | −.01557 | −.011147 | −.00484 | −.00077 |