Critical Values for the Product-Moment Correlation Coefficient, r
Critical Values for the Product-Moment Correlation Coefficient, r
Critical values for two-tailed tests
The values in the table are the two-tailed 5% and 1% points of the distribution of r and hence are appropriate for upper-tail 2.5% and 0.5% tests.
n | 5% | 1% | n | 5% | 1% | n | 5% | 1% | n | 5% | 1% |
---|---|---|---|---|---|---|---|---|---|---|---|
4 | .950 | .990 | 13 | .553 | .684 | 22 | .423 | .537 | 40 | .312 | .403 |
5 | .878 | .959 | 14 | .532 | .661 | 23 | .413 | .526 | 50 | .279 | .361 |
6 | .811 | .917 | 15 | .514 | .641 | 24 | .404 | .515 | 60 | .254 | .330 |
7 | .754 | .874 | 16 | .497 | .623 | 25 | .396 | .505 | 70 | .235 | .306 |
8 | .707 | .834 | 17 | .482 | .606 | 26 | .388 | .496 | 80 | .220 | .286 |
9 | .666 | .798 | 18 | .468 | .590 | 27 | .381 | .487 | 90 | .207 | .270 |
10 | .632 | .765 | 19 | .456 | .575 | 28 | .374 | .478 | 100 | .197 | .256 |
11 | .602 | .735 | 20 | .444 | .561 | 29 | .367 | .470 | 110 | .187 | .245 |
12 | .576 | .708 | 21 | .433 | .549 | 30 | .361 | .463 | 120 | .179 | .234 |
Critical values for one-tailed tests
The values in the table are the upper-tail 5% and 1% points of the distribution of r and hence are appropriate for two-tailed 10% and 2% tests.
n | 5% | 1% | n | 5% | 1% | n | 5% | 1% | n | 5% | 1% |
---|---|---|---|---|---|---|---|---|---|---|---|
4 | .900 | .980 | 13 | .476 | .634 | 22 | .360 | .492 | 40 | .264 | .367 |
5 | .805 | .934 | 14 | .458 | .612 | 23 | .352 | .482 | 50 | .235 | .328 |
6 | .729 | .882 | 15 | .441 | .592 | 24 | .344 | .472 | 60 | .214 | .300 |
7 | .669 | .833 | 16 | .426 | .574 | 25 | .337 | .462 | 70 | .198 | .278 |
8 | .621 | .789 | 17 | .412 | .558 | 26 | .330 | .453 | 80 | .185 | .260 |
9 | .582 | .750 | 18 | .400 | .543 | 27 | .323 | .445 | 90 | .174 | .245 |
10 | .549 | .715 | 19 | .389 | .529 | 28 | .317 | .437 | 100 | .165 | .232 |
11 | .521 | .685 | 20 | .378 | .516 | 29 | .312 | .430 | 110 | .158 | .222 |
12 | .497 | .658 | 21 | .369 | .503 | 30 | .306 | .423 | 120 | .151 | .212 |