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. 2023 Mar 6;11(3):797. doi: 10.3390/biomedicines11030797

Table 1.

p-values for testing the difference of survival prognosis (good vs. poor) under the three copulas with selected values of α (Kendall’s tau takes −0.75, −0.46, 0, 0.33, 0.46, 0.50, 0.75).

Prognostic Index (PI)
Emura and Chen [41] Chen et al. [6]
Clayton copula α=1 (tau = 0.33) 0.065 0.036
α=2 (tau = 0.50) 0.036 0.036
α=4 (tau = 0.75) 0.021 0.036
α=15 (tau = 0.88) 0.011 0.029
Gumbel copula α=0 (tau = 0.00) 0.171 0.040
α=1 (tau = 0.50) 0.058 0.029
α=2 (tau = 0.75) 0.028 0.029
α=10 (tau = 0.91) 0.011 0.025
Frank copula α=14 (tau = −0.75) 0.360 0.059
α=5 (tau = −0.46) 0.307 0.054
α=5 (tau = 0.46) 0.054 0.034
α=14 (tau = 0.75) 0.018 0.032

Notes: The PI is either 16-gene PI of Emura and Chen [41] or the 16-gene PI of Chen et al. [6]. The p-value is obtained by N = 10,000 permutations.