From: Generic temporal features of performance rankings in sports and games
\(\boldsymbol{m_{1}}\) | \(\boldsymbol{m_{2}}\) | \(\boldsymbol{m_{3}}\) | \(\boldsymbol{m_{4}}\) | \(\boldsymbol{m_{5}}\) | ||
---|---|---|---|---|---|---|
ATP | \(\langle R^{2} \rangle\) | 0.222 | 0.982 | 0.879 | 0.982 | 0.964 |
〈D〉 | 0.433 | 0.044 | 0.08 | 0.038 | 0.077 | |
\(\sigma_{R^{2}}\) | 0.0969 | 0.01652 | 0.009 | 0.0124 | 0.0288 | |
\(\sigma_{D}\) | 0.211 | 0.0126 | 0.0672 | 0.0128 | 0.0287 | |
p | 0.01 | 0.17 | 0.0 | 0.12 | 0.0 | |
FIDE | \(\langle R^{2} \rangle\) | 0.777 | 0.936 | 0.657 | 0.936 | 0.991 |
〈D〉 | 0.477 | 0.2 | 0.188 | 0.2 | 0.141 | |
\(\sigma_{R^{2}}\) | 0.0071 | 0.0053 | 0.0028 | 0.0054 | 0.0035 | |
\(\sigma_{D}\) | 0.0072 | 0.0048 | 0.0166 | 0.0048 | 0.0005 | |
p | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |
OWGR | \(\langle R^{2} \rangle\) | 0.631 | 0.981 | 0.943 | 0.982 | 0.97 |
〈D〉 | 0.316 | 0.046 | 0.088 | 0.043 | 0.088 | |
\(\sigma_{R^{2}}\) | 0.0264 | 0.0388 | 0.0138 | 0.0381 | 0.0391 | |
\(\sigma_{D}\) | 0.1292 | 0.0165 | 0.0192 | 0.0152 | 0.0104 | |
p | 0.0 | 0.92 | 0.0 | 0.89 | 0.0 | |
GPI | \(\langle R^{2} \rangle\) | 0.791 | 0.978 | 0.937 | 0.978 | 0.985 |
〈D〉 | 0.531 | 0.201 | 0.149 | 0.201 | 0.202 | |
\(\sigma_{R^{2}}\) | 0.01029 | 0.0115 | 0.0044 | 0.0115 | 0.0459 | |
\(\sigma_{D}\) | 0.01612 | 0.0039 | 0.0048 | 0.0039 | 0.00533 | |
p | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |
FCWR | \(\langle R^{2} \rangle\) | 0.727 | 0.986 | 0.981 | 0.997 | 0.947 |
〈D〉 | 0.295 | 0.115 | 0.057 | 0.055 | 0.172 | |
\(\sigma_{R^{2}}\) | 0.0186 | 0.0183 | 0.0098 | 0.0112 | 0.0268 | |
\(\sigma_{D}\) | 0.02833 | 0.0046 | 0.0052 | 0.00128 | 0.0104 | |
p | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |
FIFA | \(\langle R^{2} \rangle\) | 0.833 | 0.993 | 0.981 | 0.996 | 0.979 |
〈D〉 | 0.387 | 0.076 | 0.071 | 0.041 | 0.155 | |
\(\sigma_{R^{2}}\) | 0.0277 | 0.0324 | 0.0135 | 0.0114 | 0.0413 | |
\(\sigma_{D}\) | 0.02888 | 0.004 | 0.007 | 0.002 | 0.0147 | |
p | 0.0 | 0.99 | 0.0 | 0.99 | 0.02 |