Table 8.
Circular statistics for bone strains from the lateral aspect of the Alligator mandible
| Experiment and site | 75 Lateral |
99 Dorsolateral |
99 Lateral |
102 Dorsolateral |
102 Lateral |
103 Dorsolateral |
103 Lateral |
|||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Side | WS | BS | WS | BS | WS | BS | WS | BS | WS | BS | WS | BS | WS | BS |
| Number of observations | 30 | 48 | 20 | 3 | 20 | 10 | 22 | 14 | 47 | 36 | 11 | 19 | 24 | 30 |
| Mean vector (μ) | 144.069° | 33.141° | 155.701° | 6.261° | 132.284° | 29.262° | 149.608° | 24.43° | 139.897° | 36.422° | 131.333° | 37.258° | 31.668° | 112.724° |
| Length of mean vector (r) | 0.951 | 0.998 | 0.741 | 0.735 | 0.987 | 0.998 | 0.701 | 0.997 | 0.939 | 0.998 | 0.519 | 0.996 | 0.992 | 0.991 |
| Median | 142.955° | 33.27° | 160.485° | 19.41° | 133.62° | 29.78° | 155.08° | 24.715° | 140.54° | 36.61° | 116.3° | 37.07° | 31.765° | 114.12° |
| Concentration | 10.447 | 232.382 | 2.29 | 0.599 | 39.876 | 238.592 | 2.014 | 137.099 | 8.411 | 228.833 | 1.058 | 138.932 | 61.425 | 56.314 |
| Circular variance | 0.025 | 0.001 | 0.13 | 0.132 | 0.006 | 7.57E-04 | 0.149 | 0.001 | 0.031 | 0.001 | 0.241 | 0.002 | 0.004 | 0.004 |
| Circular standard deviation | 9.093° | 1.881° | 22.183° | 22.475° | 4.566° | 1.577° | 24.14° | 2.187° | 10.203° | 1.896° | 32.815° | 2.435° | 3.67° | 3.835° |
| Standard error of mean | 1.659° | 0.272° | 4.918° | 24.932° | 1.021° | 0.587° | 5.14° | 0.655° | 1.487° | 0.316° | 11.655° | 0.559° | 0.749° | 0.7° |
| 95% Confidence interval | 140.816° | 32.608° | 146.06° | 317.384° | 130.282° | 28.112° | 139.531° | 23.146° | 136.982° | 35.802° | 108.484° | 36.163° | 30.199° | 111.351° |
| (−/+) for μ | 147.322° | 33.673° | 165.341° | 55.138° | 134.285° | 30.413° | 159.685° | 25.714° | 142.813° | 37.041° | 154.181° | 38.353° | 33.137° | 114.096° |
| 99% Confidence interval | 139.794° | 32.441° | 143.032° | 302.031° | 129.654° | 27.75° | 136.365° | 22.743° | 136.066° | 35.608° | 101.307° | 35.819° | 29.738° | 110.92° |
| (−/+) for μ | 148.344° | 33.84° | 168.37° | 70.491° | 134.914° | 30.774° | 162.851° | 26.117° | 143.729° | 37.236° | 161.358° | 38.697° | 33.598° | 114.527° |
| Rayleigh test (Z) | 27.125 | 47.793 | 10.981 | 1.621 | 19.498 | 9.97 | 10.816 | 13.919 | 41.401 | 35.843 | 2.962 | 18.863 | 23.609 | 29.467 |
| Rayleigh test (P) | 1.43E-11 | < 1E-12 | 2.82E-06 | 0.211 | 1.21E-08 | < 1E-12 | 4.40E-06 | 7.56E-07 | < 1E-12 | < 1E-12 | 0.048 | 2.13E-08 | 3.88E-10 | 2.13E-12 |
| Watson's U² test (U²) | 0.071 | 0.064 | 0.133 | * | 0.066 | 0.095 | 0.441 | 0.065 | 0.657 | 0.12 | 0.143 | 0.061 | 0.05 | 0.409 |
| Watson's U² test (P) | 0.25 > P > 0.15 | 0.5 > P > 0.25 | < 0.025 | * | 0.5 > P > 0.25 | 0.15 > P > 0.1 | < 0.005 | 0.5 > P > 0.25 | < 0.005 | < 0.05 | < 0.005 | 0.5 > P > 0.25 | 0.5 > P > 0.25 | < 0.005 |
| Test for WS/BS differences | ||||||||||||||
| W | 58.415 | * | 20.593 | 27.174 | 65.586 | 21.928 | 43.03 | |||||||
| P | < 1E-12 | * | 3.38E-05 | 1.26E-06 | < 1E-12 | 1.73E-05 | 4.53E-10 | |||||||
| Circular-linear correlation | ||||||||||||||
| r | 0.753 | 0.789 | 0.628 | * | 0.626 | 0.887 | 0.865 | 0.769 | 0.673 | 0.568 | 0.779 | 0.548 | 0.414 | 0.633 |
| P | 0.096 | 0.334 | 0.251 | * | 0.149 | 0.751 | 0.371 | 0.329 | 0.143 | 0.185 | 0.004 | 0.007 | 0.026 | 1.06E-05 |
*
Indicates a result could not be calculated.