Table 4. RMA regressions of raw data and standardized independent contrasts for the ulna.
RMA regression: Raw data | RMA regression: Independent Contrasts | ||||||||||
ULUAPW | n | R-squared | p(uncorr) | a | b | p(a = 1) | n | R-squared | p(uncorr) | a | p(a = 1) |
Ankylosauria | 6 | 0.548 | 0.092 | 4.399 | −9.459 | 0.083 | 5 | 0.38 | 0.268 | 4.919 | 0.06 |
Stegosauria | 7 | 0.185 | 0.335 | 1.534 | −2.056 | 0.428 | 2 | – | – | – | – |
Hadrosauridae | 31 | 0.647 | 0 | 1.118 | −1.163 | 0.345 | 16 | 0.713 | 0 | 1.198 | 0.156 |
Ceratopsidae | 16 | 0.549 | 0.001 | 1.904 | −3.141 | 0.019 | 7 | 0.204 | 0.309 | 1.214 | 0.461 |
Bipeds | 5 | 0.966 | 0.003 | 1.354 | −1.519 | 0.092 | – | – | – | – | – |
Thyreophora | 13 | 0.323 | 0.043 | 2.488 | −4.562 | 0.035 | 8 | 0 | 0.98 | −3.12 | 0.003 |
Ornithopoda | 60 | 0.803 | 0 | 1.049 | −0.908 | 0.43 | 31 | 0.772 | 0 | 1.202 | 0.011 |
Marginocephalia | 21 | 0.731 | 0 | 1.358 | −1.655 | 0.039 | 9 | 0.544 | 0.023 | 1.364 | 0.175 |
Ornithischia | 95 | 0.743 | 0 | 1.167 | −1.181 | 0.008 | 53 | 0.637 | 0 | 1.281 | 0.001 |
ULUMLW | |||||||||||
Ankylosauria | 6 | 0.567 | 0.084 | 1.398 | −1.419 | 0.436 | 5 | 0.132 | 0.548 | 1.761 | 0.28 |
Stegosauria | 7 | 0.497 | 0.077 | 0.763 | 0.185 | 0.374 | 2 | – | – | – | – |
Hadrosauridae | 31 | 0.804 | 0 | 1.021 | −0.781 | 0.807 | 16 | 0.893 | 0 | 1.036 | 0.699 |
Ceratopsidae | 16 | 0.937 | 0 | 1.286 | −1.206 | 0.005 | 7 | 0.887 | 0.002 | 1.228 | 0.049 |
Bipeds | 5 | 0.967 | 0.003 | 1.239 | −1.121 | 0.162 | – | – | – | – | – |
Thyreophora | 13 | 0.447 | 0.013 | 0.88 | −0.102 | 0.554 | 8 | 0.024 | 0.717 | 1.118 | 0.718 |
Ornithopoda | 60 | 0.837 | 0 | 0.95 | −0.528 | 0.322 | 31 | 0.865 | 0 | 1.083 | 0.132 |
Marginocephalia | 21 | 0.971 | 0 | 1.194 | −0.956 | 0.001 | 9 | 0.923 | 0 | 1.156 | 0.149 |
Ornithischia | 95 | 0.754 | 0 | 1.104 | −0.848 | 0.071 | 53 | 0.853 | 0 | 1.121 | 0.008 |
Abbreviations: ULUAPW, ulnar length against anteroposterior width; ULUMLW; ulnar length against mediolateral width; a, allometric coefficient; b, y-intercept; n, sample size; p(a = 1), probability that the allometric coefficient is equal to isometry, cells highlighted in bold are those that are statistically distinguishable from isometry at the p = 0.05 level; p(uncorr), probability that X and Y are uncorrelated, cells highlighted in bold are those where X and Y are uncorrelated at the p = 0.05 level; R-squared, coefficient of determination.