Table 10.
Circular statistics for bone strains from the ventral aspect of the Alligator mandible
| Experiment and Site | 56 Ant. ventral dentary |
56 Post. ventral dentary |
56 Angular |
75 Ventral dentary |
99 Ventral dentary |
102 Ventral dentary |
102 Ventral splenial |
103 Ventral dentary |
||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Side | WS | BS | WS | BS | WS | BS | WS | BS | WS | BS | WS | BS | WS | BS | WS | BS |
| No. of observations | 13 | 10 | 13 | 10 | 13 | 10 | 28 | 45 | 20 | 10 | 47 | 35 | 23 | 22 | 24 | 30 |
| Mean vector (μ) | 152.212° | 3.288° | 153.434° | 14.397° | 68.367° | 98.823° | 148.328° | 61.583° | 167.231° | 90.704° | 137.439° | 114.282° | 107.664° | 86.915° | 10.716° | 102.267° |
| Length of mean vector (r) | 0.941 | 0.99 | 0.966 | 0.855 | 0.96 | 0.649 | 0.928 | 1 | 0.731 | 0.998 | 0.682 | 0.994 | 0.445 | 0.906 | 0.573 | 0.987 |
| Median | 154.4° | 2.685° | 150.87° | 10.72° | 66.91° | 89.9° | 152.915° | 61.51° | 177.675° | 90.2° | 141.32° | 115.73° | 103.02° | 87.35° | 21.105° | 103.31° |
| Concentration | 6.896 | 34.623 | 11.556 | 2.719 | 9.983 | 1.614 | 7.234 | 1273.631 | 2.215 | 221.44 | 1.901 | 77.888 | 0.994 | 5.61 | 1.402 | 39.842 |
| Circular variance | 0.029 | 0.005 | 0.017 | 0.072 | 0.02 | 0.175 | 0.036 | 1.96E-04 | 0.134 | 8.16E-04 | 0.159 | 0.003 | 0.277 | 0.047 | 0.214 | 0.006 |
| Circular Standard deviation | 9.948° | 4.158° | 7.585° | 16.018° | 8.185° | 26.615° | 11.066° | 0.803° | 22.676° | 1.637° | 25.057° | 3.257° | 36.437° | 12.726° | 30.247° | 4.568° |
| Standard error of mean | 3.118° | 1.548° | 2.379° | 5.941° | 2.567° | 8.848° | 2.089° | 0.12° | 5.034° | 0.609° | 3.67° | 0.55° | 8.98° | 2.709° | 6.525° | 0.834° |
| 95% Confidence interval | 146.098° | 0.254° | 148.77° | 2.751° | 63.336° | 81.477° | 144.232° | 61.348° | 157.363° | 89.51° | 130.245° | 113.203° | 90.06° | 81.604° | 357.924° | 100.632° |
| (−/+) for μ | 158.325° | 6.323° | 158.097° | 26.043° | 73.399° | 116.169° | 152.424° | 61.818° | 177.1° | 91.898° | 144.632° | 115.361° | 125.267° | 92.226° | 23.508° | 103.901° |
| 99% Confidence interval | 144.178° | 359.301° | 147.306° | 359.093° | 61.755° | 76.028° | 142.945° | 61.275° | 154.263° | 89.134° | 127.985° | 112.864° | 84.531° | 79.936° | 353.906° | 100.118° |
| (−/+) for μ | 160.245° | 7.276° | 159.561° | 29.701° | 74.98° | 121.618° | 153.711° | 61.891° | 180.2° | 92.274° | 146.892° | 115.7° | 130.797° | 93.895° | 27.526° | 104.415° |
| Rayleigh test (Z) | 11.523 | 9.792 | 12.12 | 7.315 | 11.981 | 4.218 | 24.119 | 44.965 | 10.689 | 9.967 | 21.87 | 34.551 | 4.562 | 18.06 | 7.872 | 29.247 |
| Rayleigh test (P) | 1.14E-06 | < 1E-12 | 1.33E-06 | 8.58E-05 | 1.30E-06 | 0.011 | 1.79E-10 | < 1E-12 | 4.15E-06 | < 1E-12 | 2.46E-10 | < 1E-12 | 0.009 | 2.39E-08 | 2.10E-04 | 2.56E-12 |
| Watson's U² test (U²) | 0.138 | 0.056 | 0.23 | 0.336 | 0.138 | 0.167 | 0.196 | 0.137 | 0.223 | 0.284 | 0.186 | 0.381 | 0.374 | 0.978 | 0.29 | 0.51 |
| Watson's U² test (P) | < 0.025 | 0.5 > P > 0.25 | < 0.005 | < 0.005 | < 0.025 | < 0.005 | < 0.005 | < 0.05 | < 0.005 | < 0.005 | < 0.005 | < 0.005 | < 0.005 | < 0.005 | < 0.005 | < 0.005 |
| Test for WS/BS differences | ||||||||||||||||
| W | 18.294 | 18.294 | 14.356 | 54.593 | 20.593 | 54.495 | 32.683 | 43.03 | ||||||||
| P | 1.07E-04 | 1.07E-04 | 7.63E-04 | 1.40E-12 | 3.38E-05 | 1.47E-12 | 8.00E-08 | 4.53E-10 | ||||||||
| Circular-linear correlation | ||||||||||||||||
| r | 0.850 | 0.977 | 0.864 | 0.675 | 0.770 | 0.747 | 0.575 | 0.740 | 0.619 | 0.795 | 0.669 | 0.735 | 0.755 | 0.943 | 0.838 | 0.712 |
| P | 0.196 | 0.018 | 0.088 | 0.419 | 0.308 | 0.344 | 0.443 | 0.292 | 0.155 | 0.848 | 0.056 | 0.027 | 0.267 | 0.341 | 0.168 | 0.161 |
*Indicates a result could not be calculated.