Table 9.
Circular statistics for bone strains from the medial aspect of the Alligator mandible
Experiment and site | 75 Medial |
99 Medial |
102 Medial |
103 Medial |
||||
---|---|---|---|---|---|---|---|---|
Side | WS | BS | WS | BS | WS | BS | WS | BS |
No. of observations | 30 | 48 | 20 | 10 | 47 | 35 | 15 | 27 |
Mean vector (μ) | 113.66° | 111.33° | 86.855° | 134.901° | 84.21° | 165.116° | 99.913° | 99.373° |
Length of mean vector (r) | 0.994 | 0.918 | 0.302 | 0.997 | 0.634 | 0.988 | 0.064 | 0.999 |
Median | 112.99° | 111.335° | 95.02° | 135.22° | 92.36° | 164.04° | 93.55° | 99.26° |
Concentration | 90.202 | 6.401 | 0.634 | 109.854 | 1.655 | 43.003 | 0 | 879.798 |
Circular variance | 0.003 | 0.041 | 0.349 | 0.002 | 0.183 | 0.006 | 0.468 | 2.84E-04 |
Circular standard deviation | 3.025° | 11.829° | 44.322° | 2.326° | 27.362° | 4.394° | 67.173° | 0.966° |
Standard error of mean | 0.552° | 1.705° | 14.636° | 0.866° | 4.08° | 0.743° | * | 0.186° |
95% Confidence interval | 112.577° | 107.987° | 58.163° | 133.204° | 76.21° | 163.66° | * | 99.009° |
(−/+) for μ | 114.743° | 114.673° | 115.548° | 136.598° | 92.209° | 166.572° | * | 99.738° |
99% Confidence interval | 112.237° | 106.936° | 49.15° | 132.671° | 73.698° | 163.203° | * | 98.894° |
(−/+) for μ | 115.083° | 115.724° | 124.561° | 137.132° | 94.721° | 167.03° | * | 99.852° |
Rayleigh test (Z) | 29.667 | 40.475 | 1.826 | 9.934 | 18.876 | 34.186 | 0.061 | 26.969 |
Rayleigh test (P) | 1.81E-12 | < 1E-12 | 0.162 | < 1E-12 | 2.35E-09 | < 1E-12 | 0.942 | 2.09E-11 |
Watson's U² test (U²) | 0.15 | 2.292 | 0.112 | 0.048 | 0.556 | 0.361 | * | 0.186 |
Watson's U² test (P) | < 0.025 | < 0.005 | < 0.005 | > 0.5 | < 0.005 | < 0.005 | * | < 0.005 |
Test for WS/BS differences | ||||||||
W | 8.422 | 12.759 | 64.427 | 5.66E-04 | ||||
P | 0.015 | 1.00E-03 | < 1E-12 | 9.81E-01 | ||||
Circular-linear correlation | ||||||||
r | 0.559 | 0.593 | 0.698 | 0.998 | 0.462 | 0.700 | 0.972 | 0.668 |
P | 0.378 | 0.454 | 0.080 | 0.537 | 0.271 | 0.091 | 0.349 | 0.244 |
Indicates a result could not be calculated.