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. 2013 Jul 16;223(3):195–227. doi: 10.1111/joa.12080

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 () 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.