Appendix 5. Significant values of correlation coefficient
This table gives values of the correlation coefficient beyond which the correlation coefficient is declared significant for any particular level of significance and number of pairs of observations of x and y
n |
.1 |
.05 |
.02 |
.01 |
.001 |
1 |
.9877 |
.9969 |
.9995 |
.9999 |
.9999 |
2 |
.9000 |
.9500 |
.9800 |
.9900 |
.9990 |
3 |
.8054 |
.8783 |
.9343 |
.9587 |
.9912 |
4 |
.7293 |
.8114 |
.8822 |
.9172 |
.9741 |
5 |
.6694 |
.7545 |
.8329 |
.8745 |
.9507 |
6 |
.6215 |
.7067 |
.7887 |
.8343 |
.9249 |
7 |
.5822 |
.6664 |
.7498 |
.7977 |
.8982 |
8 |
.5494 |
.6319 |
.7155 |
.7646 |
.8721 |
9 |
.5214 |
.6021 |
.6851 |
.7348 |
.8471 |
10 |
.4973 |
.5760 |
.6581 |
.7079 |
.8233 |
11 |
.4762 |
.5529 |
.6339 |
.6835 |
.8010 |
12 |
.4575 |
.5324 |
.6120 |
.6614 |
.7800 |
13 |
.4409 |
.5139 |
.5923 |
.6411 |
.7603 |
14 |
.4259 |
.4973 |
.5742 |
.6226 |
.7420 |
15 |
.4124 |
.4821 |
.5577 |
.6055 |
.7246 |
16 |
.4000 |
.4683 |
.5425 |
.5897 |
.7084 |
17 |
.3887 |
.4555 |
.5285 |
.5751 |
.6932 |
18 |
.3783 |
.4438 |
.5155 |
.5614 |
.6787 |
19 |
.3687 |
.4329 |
.5034 |
.5487 |
.6652 |
20 |
.3598 |
.4227 |
.4921 |
.5368 |
.6524 |
25 |
.3233 |
.3809 |
.4451 |
.4869 |
.5974 |
30 |
.2960 |
.3494 |
.4093 |
.4487 |
.5541 |
35 |
.2746 |
.3246 |
.3810 |
.4182 |
.5189 |
40 |
.2573 |
.3044 |
.3578 |
.3932 |
.4896 |
45 |
.2428 |
.2875 |
.3384 |
.3721 |
.4648 |
50 |
.2306 |
.2732 |
.3218 |
.3541 |
.4433 |
60 |
.2108 |
.2500 |
.2948 |
.3248 |
.4078 |
70 |
.1954 |
.2319 |
.2737 |
.3017 |
.3799 |
80 |
.1829 |
.2172 |
.2565 |
.2830 |
.3568 |
90 |
.1726 |
.2050 |
.2422 |
.2673 |
.3375 |
100 |
.1638 |
.1946 |
.2301 |
.2540 |
.3211 |