Table 5.
Monte Carlo Analysis of Bias in the Standard Errors of the Standardized Effect Size (GMA d) from Slopes and Intercepts
N | Parameter | Coverage | Percent Bias | Confidence Interval Bias | |||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Eq | Delta | BTSP | Eq | Delta | BTSP | Eq | Delta | BTSP | |||||||||||
S | I | S | I | S | I | S | I | S | I | S | I | S | I | S | I | S | I | ||
50 | .3464 | .936 | .933 | .942 | .939 | .954 | .951 | 4.02 | 5.81 | 3.35 | 4.63 | 2.66 | 1.15 | .014 | .017 | .008 | .011 | −.004 | .001 |
50 | .6928 | .935 | .925 | .941 | .938 | .954 | .949 | 4.71 | 8.00 | 3.26 | 4.67 | 2.75 | 1.12 | .015 | .025 | .009 | .012 | −.004 | .001 |
100 | .3464 | .942 | .941 | .945 | .945 | .952 | .950 | 1.78 | 3.13 | 1.29 | 2.21 | 1.52 | .59 | .008 | .009 | .005 | .005 | −.002 | .000 |
100 | .6928 | .943 | .936 | .947 | .947 | .952 | .950 | 2.47 | 5.08 | 1.22 | 1.96 | 1.60 | .79 | .007 | .014 | .003 | .003 | −.002 | .000 |
150 | .3464 | .940 | .944 | .942 | .947 | .946 | .951 | 2.17 | 2.47 | 1.78 | 1.53 | .00 | .27 | .010 | .006 | .008 | .003 | .004 | .001 |
150 | .6928 | .939 | .939 | .942 | .947 | .946 | .949 | 2.90 | 4.57 | 1.76 | 1.50 | .04 | .26 | .011 | .011 | .008 | .003 | .004 | .001 |
250 | .3464 | .947 | .946 | .948 | .949 | .950 | .951 | 1.19 | 1.57 | .83 | .70 | .15 | .26 | .003 | .004 | .002 | .001 | .000 | .001 |
250 | .6928 | .945 | .941 | .948 | .948 | .949 | .952 | 1.90 | 3.66 | .77 | .68 | 20 | .34 | .005 | .009 | .002 | .002 | .001 | .002 |
500 | .3464 | .944 | .948 | .945 | .951 | .948 | .950 | 1.46 | 1.11 | 1.17 | .25 | .66 | .12 | .006 | .002 | .005 | .001 | .002 | .000 |
500 | .6928 | .944 | .943 | .946 | .951 | .947 | .950 | 2.17 | 3.03 | 1.16 | .00 | .58 | .36 | .006 | .007 | .004 | .001 | .003 | .000 |
Mdn | .942 | .941 | .942 | .947 | .950 | .950 | 2.17 | 3.40 | 1.26 | 1.52 | .62 | .35 | .008 | .009 | .005 | .003 | .000 | .001 |
Note. Coverage = 95% coverage, Confidence Interval Bias = difference between coverage and .950, delta = delta method, BTSP = bootstrap, Eq = post hoc equations, delta = delta method, S = GMA d from slope difference, I = GMA d from intercept difference.