Table I.
Type I error rates for testing the equality of marginal correlation ρY1Y2 and partial correlation ρY1Y2 ` X1 when sample size is 50
Condition | ρ Y1X1 | ρ Y2X1 | ρ Y1Y2 | r | Fisher's z | r adjusted | Fisher's z adjusted |
---|---|---|---|---|---|---|---|
1 | 0 | 0.05 | 0 | .0004 | .0003 | .0005 | .0004 |
2 | 0.05 | 0.10 | .7991 | .0003 | .0008 | .0005 | .0010 |
3 | 0.10 | 0.30 | .5901 | .0054 | .0068 | .0066 | .0087 |
4 | 0.10 | 0.50 | .3615 | .0240 | .0225 | .0284 | .0270 |
5 | 0.10 | 0.70 | .2418 | .0498 | .0456 | .0520 | .0486 |
6 | 0.10 | 0.90 | .1589 | .0548 | .0476 | .0554 | .0484 |
7 | 0.10 | 0.95 | .1378 | .0589 | .0511 | .0593 | .0513 |
8 | 0.30 | 0.50 | .8627 | .0170 | .0326 | .0195 | .0365 |
9 | 0.30 | 0.70 | .6588 | .0386 | .0464 | .0401 | .0490 |
10 | 0.30 | 0.90 | .4622 | .0517 | .0515 | .0529 | .0527 |
11 | 0.30 | 0.95 | .4059 | .0528 | .0492 | .0533 | .0499 |
12 | 0.50 | 0.70 | .9173 | .0282 | .0465 | .0289 | .0487 |
13 | 0.50 | 0.90 | .7229 | .0390 | .0483 | .0397 | .0490 |
14 | 0.50 | 0.95 | .6511 | .0415 | .0463 | .0416 | .0469 |
15 | 0.70 | 0.90 | .9148 | .0331 | .0515 | .0333 | .0517 |
16 | 0.70 | 0.95 | .8558 | .0372 | .0506 | .0373 | .0508 |
17 | 0.90 | 0.95 | .9897 | .0296 | .0527 | .0297 | .0529 |