The row value plus the column value gives the value of
![$r$](img4.png)
. The table entry is
![$Z$](img1.png)
. For example: if
![$r = .34$](img5.png)
, then
![$Z = .3541$](img6.png)
; if
![$Z = 1.7736$](img7.png)
, then
![$r = .944$](img8.png)
. For bivariate normal samples and large
![$N, Z$](img9.png)
is approximately normally distributed with mean equal to the inverse hyperbolic tangent of the population correlation coefficient and variance equal to
![$1/(N-3)$](img10.png)
.
Table 1:
Fisher's
-transform.
.
|
.00 |
.01 |
.02 |
.03 |
.04 |
.05 |
.06 |
.07 |
.08 |
.09 |
.0 |
.0000 |
.0100 |
.0200 |
.0300 |
.0400 |
.0500 |
.0601 |
.0701 |
.0802 |
.0902 |
.1 |
.1003 |
.1104 |
.1206 |
.1307 |
.1409 |
.1511 |
.1614 |
.1717 |
.1820 |
.1923 |
.2 |
.2027 |
.2132 |
.2237 |
.2342 |
.2448 |
.2554 |
.2661 |
.2769 |
.2877 |
.2986 |
.3 |
.3095 |
.3205 |
.3316 |
.3428 |
.3541 |
.3654 |
.3769 |
.3884 |
.4001 |
.4118 |
.4 |
.4236 |
.4356 |
.4477 |
.4599 |
.4722 |
.4847 |
.4973 |
.5101 |
.5230 |
.5361 |
.5 |
.5493 |
.5627 |
.5763 |
.5901 |
.6042 |
.6184 |
.6328 |
.6475 |
.6625 |
.6777 |
.6 |
.6931 |
.7089 |
.7250 |
.7414 |
.7582 |
.7753 |
.7928 |
.8107 |
.8291 |
.8480 |
.7 |
.8673 |
.8872 |
.9076 |
.9287 |
.9505 |
.9730 |
.9962 |
1.0203 |
1.0454 |
1.0714 |
.8 |
1.0986 |
1.1270 |
1.1568 |
1.1881 |
1.2212 |
1.2562 |
1.2933 |
1.3331 |
1.3758 |
1.4219 |
|
.000 |
.001 |
.002 |
.003 |
.004 |
.005 |
.006 |
.007 |
.008 |
.009 |
.90 |
1.4722 |
1.4775 |
1.4828 |
1.4882 |
1.4937 |
1.4992 |
1.5047 |
1.5103 |
1.5160 |
1.5217 |
.91 |
1.5275 |
1.5334 |
1.5393 |
1.5453 |
1.5513 |
1.5574 |
1.5636 |
1.5698 |
1.5762 |
1.5826 |
.92 |
1.5890 |
1.5956 |
1.6022 |
1.6089 |
1.6157 |
1.6226 |
1.6296 |
1.6366 |
1.6438 |
1.6510 |
.93 |
1.6584 |
1.6658 |
1.6734 |
1.6811 |
1.6888 |
1.6967 |
1.7047 |
1.7129 |
1.7211 |
1.7295 |
.94 |
1.7380 |
1.7467 |
1.7555 |
1.7645 |
1.7736 |
1.7828 |
1.7923 |
1.8019 |
1.8117 |
1.8216 |
.95 |
1.8318 |
1.8421 |
1.8527 |
1.8635 |
1.8745 |
1.8857 |
1.8972 |
1.9090 |
1.9210 |
1.9333 |
.96 |
1.9459 |
1.9588 |
1.9721 |
1.9857 |
1.9996 |
2.0139 |
2.0287 |
2.0439 |
2.0595 |
2.0756 |
.97 |
2.0923 |
2.1095 |
2.1273 |
2.1457 |
2.1649 |
2.1847 |
2.2054 |
2.2269 |
2.2494 |
2.2729 |
.98 |
2.2976 |
2.3235 |
2.3507 |
2.3796 |
2.4101 |
2.4427 |
2.4774 |
2.5147 |
2.5550 |
2.5987 |
.99 |
2.6467 |
2.6996 |
2.7587 |
2.8257 |
2.9031 |
3.9945 |
3.1063 |
3.2504 |
3.5434 |
3.8002 |