Table 2. Partial results of mathematical experiments for hierarchical correlation analysis of city rank-size distributions.
p | 0.6 | 0.7 | 0.8 | 0.9 | 1.0 | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 2.0 |
D 2 | 1.5247 | 1.3693 | 1.2510 | 1.1466 | 1.0495 | 0.9618 | 0.8826 | 0.8158 | 0.7473 | 0.6903 | 0.4544 |
R 2 | 0.9727 | 0.9852 | 0.9836 | 0.9777 | 0.9668 | 0.9589 | 0.9489 | 0.9362 | 0.9335 | 0.9184 | 0.8199 |
D 0 | 1.2624 | 1.1847 | 1.1255 | 1.0733 | 1.0248 | 0.9809 | 0.9413 | 0.9079 | 0.8737 | 0.8452 | 0.7272 |
D 0 * | 1.6667 | 1.4286 | 1.2500 | 1.1111 | 1.0000 | 0.9091 | 0.8333 | 0.7692 | 0.7143 | 0.6667 | 0.5000 |
e 2 | 0.1635 | 0.0595 | 0.0155 | 0.0014 | 0.0006 | 0.0052 | 0.0117 | 0.0192 | 0.0254 | 0.0319 | 0.0516 |
Note: R 2 denotes the correlation coefficient square, i.e., the goodness of fit.