Table 5. Bivariate regressions of vestibular shape vs. volume and of semicular canal volume vs. length.
Both ordinary least-square linear regressions (OLS) and phylogenetic generalized least-square regressions (PGLS) are provided for the whole anthropoid sample, as well as hominids and non-hominids separately. Vestibular shape is represented by the first three principal components (bgPC), while vestibular volume (Vol) is represented by its log-transformed cube root. Semicular canal volume (VolSC) and length (L) are represented by the log-transformed cube root and the log-transformed length, respectively, of the three semicircular canals together. For each regression, the coefficient of determination (R2), the significance of the slope (p), and the slope and intercept values with their corresponding standard error (SE) and 95% confidence intervals (CI) are included. Regressions bolded when significant at p<0.05. For bgPCs vs. VOL regressions, a significant correlation denotes allometry, while for VOLSC vs. L regressions there is allometry when the correlation is significant and the 95% CI for the slope excludes unity.
R2 | p | slope | SE | 95% CI | intercept | SE | 95% CI | |||
---|---|---|---|---|---|---|---|---|---|---|
OLS | ||||||||||
Anthropoids (n = 142) | ||||||||||
bgPC1 vs. ln Vol | 0.635 | <0.001 | 5.257 | 0.335 | 4.600 | 5.914 | −6.191 | 0.399 | −6.973 | −5.409 |
bgPC2 vs. ln Vol | 0.008 | 0.146 | 0.453 | 0.309 | −0.154 | 1.060 | −0.533 | 0.368 | −1.254 | 0.188 |
bgPC3 vs. ln Vol | 0.000 | 0.385 | 0.192 | 0.220 | −0.239 | 0.622 | −0.226 | 0.261 | −0.738 | 0.287 |
ln VolSC vs. ln L | 0.288 | <0.001 | 0.897 | 0.118 | 0.666 | 1.128 | −2.328 | 0.429 | −3.169 | −1.487 |
Hominids (n = 30) | ||||||||||
bgPC1 vs. ln Vol | 0.480 | <0.001 | 6.496 | 1.233 | 4.079 | 8.913 | −7.781 | 1.797 | −11.303 | −4.259 |
bgPC2 vs. ln Vol | 0.026 | 0.195 | −1.400 | 1.054 | −3.466 | 0.666 | 2.307 | 1.538 | −0.708 | 5.322 |
bgPC3 vs. ln Vol | 0.039 | 0.153 | −0.720 | 0.490 | −1.681 | 0.240 | 1.036 | 0.714 | −0.365 | 2.436 |
ln VolSC vs. ln L | 0.251 | 0.003 | 0.621 | 0.190 | 0.249 | 0.992 | −1.084 | 0.705 | −2.465 | 0.297 |
Non-hominids (n = 112) | ||||||||||
bgPC1 vs. ln Vol | 0.058 | 0.006 | 1.990 | 0.709 | 0.601 | 3.380 | −2.645 | 0.785 | −4.183 | −1.108 |
bgPC2 vs. ln Vol | 0.010 | 0.152 | −1.027 | 0.712 | −2.422 | 0.368 | 1.061 | 0.788 | −0.482 | 2.605 |
bgPC3 vs. ln Vol | 0.046 | 0.013 | 1.332 | 0.529 | 0.295 | 2.368 | −1.466 | 0.585 | −2.613 | −0.319 |
ln VolSC vs. ln L | 0.219 | <0.001 | 0.454 | 0.080 | 0.297 | 0.611 | −0.783 | 0.291 | −1.352 | −0.213 |
PGLS | ||||||||||
Anthropoids (n = 27) | ||||||||||
bgPC1 vs. ln Vol | 0.261 | 0.004 | 3.401 | 1.065 | 1.314 | 5.488 | −3.719 | 1.376 | −6.416 | −1.022 |
bgPC2 vs. ln Vol | 0.003 | 0.416 | 0.625 | 0.756 | −0.858 | 2.107 | −1.27 | 0.962 | −3.155 | 0.615 |
bgPC3 vs. ln Vol | 0.063 | 0.111 | −0.727 | 0.440 | −1.589 | 0.135 | 0.879 | 0.570 | −0.238 | 1.996 |
ln VolSC vs. ln L | 0.437 | <0.001 | 0.502 | 0.109 | 0.288 | 0.716 | 3.144 | 0.124 | 2.901 | 3.388 |
Hominids (n = 5) | ||||||||||
bgPC1 vs. ln Vol | 0.221 | 0.240 | 4.440 | 3.042 | −1.521 | 10.402 | −4.627 | 4.499 | −13.445 | 4.192 |
bgPC2 vs. ln Vol | 0.036 | 0.760 | −1.144 | 3.421 | −7.850 | 5.561 | 1.892 | 4.990 | −7.888 | 11.672 |
bgPC3 vs. ln Vol | 0.062 | 0.687 | −0.392 | 0.883 | −2.122 | 1.338 | 0.596 | 1.309 | −1.970 | 3.162 |
ln VolSC vs. ln L | 0.553 | 0.093 | 0.631 | 0.259 | 0.124 | 1.138 | 2.920 | 0.327 | 2.279 | 3.561 |
Non-hominids (n = 22) | ||||||||||
bgPC1 vs. ln Vol | 0.008 | 0.294 | 1.376 | 1.276 | −1.125 | 3.877 | −1.674 | 1.512 | −4.639 | 1.290 |
bgPC2 vs. ln Vol | 0.030 | 0.445 | 0.763 | 0.978 | −1.154 | 2.679 | −1.444 | 1.152 | −3.701 | 0.814 |
bgPC3 vs. ln Vol | 0.020 | 0.500 | −0.419 | 0.610 | −1.616 | 0.777 | 0.577 | 0.730 | −0.854 | 2.008 |
ln VolSC vs. ln L | 0.504 | <0.001 | 0.634 | 0.134 | 0.371 | 0.896 | 3.052 | 0.137 | 2.784 | 3.320 |