Table 1 \(E_{Y}(V_{n}), E_{U}(V_{n}), \sigma _{U}^{2}(S_{n}), \sigma _{U}^{2}(\Phi _{n})\), and CovU(Sn,Φn) for n=3,…,8
From: On Sackin’s original proposal: the variance of the leaves’ depths as a phylogenetic balance index
n | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|
EY(Vn) | 0.2222 | 0.4583 | 0.6800 | 0.8833 | 1.0694 | 1.2402 |
EU(Vn) | 0.2222 | 0.5500 | 0.9371 | 1.3624 | 1.8145 | 2.2864 |
\(\sigma _{U}^{2}(S_{n})\) | 0 | 0.1600 | 0.7755 | 2.2358 | 4.9991 | 9.5765 |
\(\sigma _{U}^{2}(\Phi _{n})\) | 0 | 0.6400 | 4.7755 | 19.5828 | 58.9752 | 146.2314 |
CovU(Sn,Φn) | 0 | 0.3200 | 1.9184 | 6.5805 | 17.0441 | 37.0899 |