Table 3 Matrices with results of tests for normality of the data produced using PAST (A, top) and including R-output of the Fligner–Killeen test (B, bottom) of homogeneity of variances (slope is short for septal slope factor)
(A) | SlopeFactor | CO2 | Latitude_SN | pH |
|---|---|---|---|---|
N | 25 | 25 | 25 | 25 |
Shapiro–Wilk W | 0.9377 | 0.8945 | 0.803 | 0.8347 |
p(normal) | 0.1308 | 0.01399 | 0.000255 | 0.000917 |
Jarque–Bera JB | 3.05 | 0.5951 | 3.32 | 2.821 |
p(normal) | 0.2176 | 0.7426 | 0.1901 | 0.244 |
p(Monte Carlo) | 0.0815 | 0.672 | 0.0676 | 0.0853 |
Chi2 | 1.4 | 2.36 | 2.04 | 3.96 |
p (normal) | 0.23672 | 0.12448 | 0.15321 | 0.046594 |
Chi2 OK (N > 20) | Yes | Yes | Yes | Yes |
Anderson–Darling A | 0.5021 | 0.9992 | 1.957 | 1.519 |
p(normal) | 0.1874 | 0.01023 | 3.80E−05 | 0.000489 |
(B) Fligner–Killeen test | Chi2 | Critical value (Chi2 table) | Degrees of freedom | p-value |
|---|---|---|---|---|
Slope ~ age (Ma) | 19.00 | 19.68 | 11 | 0.06 |
Slope ~ sea surface pH | 8.67 | 10.22 | 8 | 0.37 |
Slope ~ [Ca2+] | 15.74 | 16.92 | 9 | 0.07 |
Slope ~ Mg/Ca ratio | 14.61 | 14.68 | 9 | 0.10 |
Slope ~ atmospheric CO2 | 17.15 | 18.31 | 10 | 0.07 |
Age (Ma) ~ Atmospheric CO2 | 3.60 | 3.94 | 10 | 0.96 |
Age (Ma) ~ sea surface pH | 4.19 | 3.49 | 8 | 0.84 |
Age (Ma) ~ Mg/Ca ratio | 4.73 | 4.17 | 9 | 0.86 |
Age (Ma) ~ [Ca2+] | 2.80 | 3.33 | 9 | 0.97 |