The Kendall's Rank Correlation Coefficient is also known as Kendall's tau coefficient. The coefficient is used to determine the the association between two measured quantities. It is a measure of rank correlation. In the table shown below, the upper critical values gives the closest significance levels but not exceeding the nominal α value.
Nominal α | ||||||
---|---|---|---|---|---|---|
n | 0.10 | 0.05 | 0.025 | 0.01 | 0.005 | 0.001 |
4 | 1.000 | 1.000 | - | - | - | - |
5 | 0.800 | 0.800 | 1.000 | 1.000 | - | - |
6 | 0.600 | 0.733 | 0.867 | 0.867 | 1.000 | - |
7 | 0.524 | 0.619 | 0.714 | 0.810 | 0.905 | 1.000 |
8 | 0.429 | 0.571 | 0.643 | 0.714 | 0.786 | 0.857 |
9 | 0.389 | 0.500 | 0.556 | 0.667 | 0.722 | 0.833 |
10 | 0.378 | 0.467 | 0.511 | 0.600 | 0.644 | 0.778 |
11 | 0.345 | 0.418 | 0.491 | 0.564 | 0.600 | 0.709 |
12 | 0.303 | 0.394 | 0.455 | 0.545 | 0.576 | 0.667 |
13 | 0.308 | 0.359 | 0.436 | 0.513 | 0.564 | 0.641 |
14 | 0.275 | 0.363 | 0.407 | 0.473 | 0.516 | 0.604 |
15 | 0.276 | 0.333 | 0.390 | 0.467 | 0.505 | 0.581 |
16 | 0.250 | 0.317 | 0.383 | 0.433 | 0.483 | 0.567 |
17 | 0.250 | 0.309 | 0.368 | 0.426 | 0.471 | 0.544 |
18 | 0.242 | 0.294 | 0.346 | 0.412 | 0.451 | 0.529 |
19 | 0.228 | 0.287 | 0.333 | 0.392 | 0.439 | 0.509 |
20 | 0.221 | 0.274 | 0.326 | 0.379 | 0.421 | 0.495 |
21 | 0.210 | 0.267 | 0.314 | 0.371 | 0.410 | 0.486 |
22 | 0.203 | 0.264 | 0.307 | 0.359 | 0.394 | 0.472 |
23 | 0.202 | 0.257 | 0.296 | 0.352 | 0.391 | 0.455 |
24 | 0.196 | 0.246 | 0.290 | 0.341 | 0.377 | 0.449 |
25 | 0.193 | 0.240 | 0.287 | 0.333 | 0.367 | 0.440 |
26 | 0.188 | 0.237 | 0.280 | 0.329 | 0.360 | 0.428 |
27 | 0.179 | 0.231 | 0.271 | 0.322 | 0.356 | 0.419 |
28 | 0.180 | 0.228 | 0.265 | 0.312 | 0.344 | 0.413 |
29 | 0.172 | 0.222 | 0.261 | 0.310 | 0.340 | 0.404 |
30 | 0.172 | 0.218 | 0.255 | 0.301 | 0.333 | 0.393 |
31 | 0.166 | 0.213 | 0.252 | 0.295 | 0.325 | 0.389 |
32 | 0.165 | 0.210 | 0.246 | 0.290 | 0.323 | 0.379 |
33 | 0.163 | 0.205 | 0.242 | 0.288 | 0.314 | 0.375 |
34 | 0.159 | 0.201 | 0.237 | 0.280 | 0.312 | 0.369 |
35 | 0.156 | 0.197 | 0.234 | 0.277 | 0.304 | 0.361 |
36 | 0.152 | 0.194 | 0.232 | 0.273 | 0.302 | 0.359 |
37 | 0.150 | 0.192 | 0.228 | 0.267 | 0.297 | 0.351 |
38 | 0.149 | 0.189 | 0.223 | 0.263 | 0.292 | 0.346 |
39 | 0.147 | 0.188 | 0.220 | 0.260 | 0.287 | 0.341 |
40 | 0.144 | 0.185 | 0.218 | 0.256 | 0.285 | 0.338 |
41 | 0.141 | 0.180 | 0.215 | 0.254 | 0.280 | 0.334 |
42 | 0.141 | 0.178 | 0.213 | 0.250 | 0.275 | 0.329 |
43 | 0.138 | 0.176 | 0.209 | 0.247 | 0.274 | 0.324 |
44 | 0.137 | 0.173 | 0.207 | 0.243 | 0.268 | 0.321 |
45 | 0.135 | 0.172 | 0.204 | 0.240 | 0.267 | 0.317 |
46 | 0.132 | 0.169 | 0.202 | 0.239 | 0.264 | 0.314 |
47 | 0.132 | 0.167 | 0.199 | 0.236 | 0.260 | 0.310 |
48 | 0.129 | 0.167 | 0.197 | 0.232 | 0.257 | 0.307 |
49 | 0.129 | 0.163 | 0.196 | 0.230 | 0.253 | 0.303 |
50 | 0.127 | 0.162 | 0.192 | 0.228 | 0.251 | 0.300 |
51 | 0.126 | 0.161 | 0.191 | 0.225 | 0.249 | 0.297 |
52 | 0.124 | 0.158 | 0.189 | 0.223 | 0.246 | 0.294 |
53 | 0.123 | 0.157 | 0.187 | 0.221 | 0.244 | 0.290 |
54 | 0.122 | 0.156 | 0.185 | 0.219 | 0.241 | 0.287 |
55 | 0.121 | 0.154 | 0.182 | 0.216 | 0.239 | 0.285 |
56 | 0.119 | 0.152 | 0.181 | 0.214 | 0.236 | 0.282 |
57 | 0.118 | 0.152 | 0.179 | 0.212 | 0.234 | 0.279 |
58 | 0.117 | 0.149 | 0.177 | 0.210 | 0.232 | 0.276 |
59 | 0.116 | 0.148 | 0.176 | 0.209 | 0.230 | 0.274 |
60 | 0.115 | 0.147 | 0.174 | 0.207 | 0.228 | 0.272 |