TABLE III.

The Performance Results Showing Average P-Values With the Standard Deviations. The False Positive and False Negative Rates Are Shown in the Brackets. Smaller Error Rates Are Preferred. The Graph Theory Features Q-Modularity ${\mathfrak{L}}_Q$ and Betweenness ${\mathfrak{L}}_{bet}$ Are Used. The Gromov-Hausdorff Distance ${\mathfrak{L}}_{GH}$ and the Bottleneck Distance ${\mathfrak{L}}_{BN}$ in Persistent Homology Are Used. The ${\mathfrak{L}}_{\mathfrak{w}}$ Is the Proposed Wasserstein Distance on Death Values. $\mathfrak{L}\mathfrak{c}$ Is the Proposed Test Statistic on the Common 1-Cycle Basis

Groups	${\mathfrak{L}}_{\mathit{Q}}$	${\mathfrak{L}}_{\mathit{b}\mathit{e}\mathit{t}}$	${\mathfrak{L}}_{\mathit{G}\mathit{H}}$	${\mathfrak{L}}_{\mathit{B}\mathit{N}}$	${\mathfrak{L}}_{\mathfrak{w}}$	$\mathfrak{L}\mathfrak{c}$
1 vs. 2	0.4192 ±0.28 (0.94)	0.5167 ±0.28 (0.98)	0.4880 ±0.30 (0.88)	0.4495 ±0.30 (0.92)	0.0023 ±0.00 (0.00)	0.0000 ±0.00 (0.00)
1 vs. 3	0.3521 ±0.31 (0.76)	0.4673 ±0.27 (0.98)	0.4903 ±0.29 (0.94)	0.5419 ±0.30 (0.98)	0.0000 ±0.00 (0.00)	0.0000 ±0.00 (0.00)
2 vs. 3	0.5671 ±0.28 (0.96)	0.4672 ±0.30 (0.96)	0.5503 ±0.29 (0.98)	0.4362 ±0.29 (1.00)	0.0144 ±0.03 (0.06)	0.0000 ±0.00 (0.00)
1 vs. 1	0.5399 ±0.26 (0.04)	0.5170 ±0.28 (0.04)	0.4251 ±0.26 (0.08)	0.4793 ±0.27 (0.04)	0.5069 ±0.29 (0.04)	0.4917 ±0.25 (0.06)
2 vs. 2	0.5487 ±0.30 (0.02)	0.5291 ±0.26 (0.02)	0.5153 ±0.29 (0.04)	0.5031 ±0.30 (0.04)	0.4524 ±0.26 (0.04)	0.5164 ±0.32 (0.14)
3 vs. 3	0.4836 ±0.30 (0.08)	0.4608 ±0.26 (0.06)	0.5322 ±0.25 (0.04)	0.5464 ±0.33 (0.10)	0.5069 ±0.32 (0.04)	0.5086 ±0.31 (0.04)