Table 2. Effect of dichotomization on various effect size indices when true effect size d = −1.0.
Dichotomization point (zyoung) | ||||||||||
2.5 | −2 | −1.5 | −1.5 | −0.5 | 0.0 | 0.5 | 1.0 | 1.5 | 2.0 | |
pyoung | 0.99 | 0.98 | 0.93 | 0.84 | 0.69 | 0.50 | 0.31 | 0.16 | 0.07 | 0.02 |
pold | 0.93 | 0.84 | 0.69 | 0.50 | 0.31 | 0.16 | 0.07 | 0.02 | 0.01 | 0.00 |
nyoung passed | 99 | 98 | 93 | 84 | 69 | 50 | 31 | 16 | 7 | 2 |
nold passed | 93 | 84 | 69 | 50 | 31 | 16 | 7 | 2 | 1 | 0 |
nyoung failed | 1 | 2 | 7 | 16 | 31 | 50 | 69 | 84 | 93 | 98 |
nold failed | 7 | 16 | 31 | 50 | 69 | 84 | 93 | 98 | 99 | 100 |
pold-pyoung | −0.06 | −0.14 | −0.24 | −0.34 | −0.38 | −0.34 | −0.24 | −0.14 | −0.06 | −0.02 |
dphi | −0.31 | −0.50 | −0.64 | −0.77 | −0.82 | −0.77 | −0.64 | −0.50 | −0.31 | −0.20 |
dp | −0.31 | −0.50 | −0.64 | −0.78 | −0.82 | −0.78 | −0.64 | −0.50 | −0.31 | −0.20 |
dhh | −1.11 | −1.23 | −0.98 | −0.91 | −0.88 | −0.91 | −0.98 | −1.23 | −1.11 | -.– |
dprobit | −0.85 | −1.06 | −0.98 | −0.99 | −0.99 | −0.99 | −0.98 | −1.06 | −0.85 | -.– |
Note. This example assumes that n per group is 100.