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. 2010 Nov 24;218(1):112–141. doi: 10.1111/j.1469-7580.2010.01322.x

Table 2.

Descriptive circular statistics for in vivo bone strain orientations recorded from anterior surface of postorbital bar.

Experiment 38 38 42 42 46 46 47 47 48
Side Balancing Working Balancing Working Balancing Working Balancing Working Working
n 421 458 183 117 194 128 21 50 179
Mean vector (μ) −4.373 1.316 53.386 54.524 66.968 50.119 50.596 2.307 −75.133
Length of mean vector (r) 0.904 0.97 0.998 0.997 0.974 0.945 0.999 0.974 0.835
Median 0.338 2.968 53.195 54.303 68.717 47.402 50.56 3.656 −71.58
Concentration 5.513 16.8 266.484 148.075 19.844 9.335 568.908 19.422 3.362
Circular variance 0.048 0.015 9.39E-04 0.002 0.013 0.028 4.40E-04 0.013 0.083
Circular SD 12.85 7.099 1.757 2.358 6.515 9.651 1.202 6.588 17.219
95% confidence interval (±) for μ −3.147 1.967 53.132 54.097 66.051 48.447 50.082 0.481 −72.628
−5.599 0.666 53.641 54.952 67.885 51.79 51.11 4.133 −77.639
99% confidence interval (±) for μ −2.762 2.171 53.052 53.963 65.763 47.922 49.921 −0.093 −71.841
−5.984 0.462 53.721 55.086 68.173 52.315 51.272 4.707 −78.426
Rayleigh test (Z) 344.271 430.725 182.313 116.21 184.22 114.267 20.963 47.425 124.725
Rayleigh test (P) < 1E-12 < 1E-12 < 1E-12 < 1E-12 < 1E-12 < 1E-12 3.85E-09 < 1E-12 < 1E-12
Watson's U2 test (von Mises, U2) 3.948 1.718 0.061 0.191 2.525 1.014 0.035 0.052 0.752
Watson's U2 test (P) < 0.005 < 0.005 0.5 > P > 0.25 < 0.005 < 0.005 < 0.005 > 0.5 0.5 > P > 0.25 < 0.005
Test for working/balancing differences
W 29.019 7.226 135.436 44.363
P < 0.0001 0.027 < 0.0001 < 0.0001