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. Author manuscript; available in PMC: 2018 Apr 9.
Published in final edited form as: Aust N Z J Stat. 2017 Mar 1;59(1):119–135. doi: 10.1111/anzs.12183

Table 4.

Three-dimensional directions of the normal vectors to the last lumbar right inferior facets in samples of three species of primates (humans, gorillas, and chimpanzees) rounded to three decimal places. The mean direction R̄−1Ū and the mean resultant length R̄ are calculated for each sample separately.

Humans Gorillas Chimpanzees

(u1, u2, u3) (u1, u2, u3) (u1, u2, u3)
1 0.402 −0.623 −0.671 0.551 −0.794 −0.257 0.204 −0.962 −0.181
2 0.621 −0.472 −0.626 0.456 −0.872 −0.177 0.311 −0.887 −0.341
3 0.445 −0.756 −0.481 0.439 −0.818 −0.371 0.302 −0.936 −0.181
4 0.477 −0.722 −0.502 0.178 −0.974 −0.143 0.288 −0.910 −0.297
5 0.414 −0.815 −0.406 0.513 −0.761 −0.397 0.259 −0.945 −0.199
6 0.407 −0.809 −0.425 0.526 −0.598 −0.605 0.251 −0.929 −0.271
7 0.554 −0.540 −0.634 0.177 −0.967 −0.185 0.390 −0.890 −0.238
8 0.207 −0.743 −0.637 0.406 −0.869 −0.281 0.355 −0.873 −0.335
9 0.452 −0.635 −0.626 0.436 −0.755 −0.490 0.338 −0.845 −0.415
10 0.631 −0.577 −0.518 0.457 −0.804 −0.381 0.180 −0.948 −0.261
11 0.495 −0.733 −0.466 0.519 −0.824 −0.227 0.372 −0.912 −0.174
12 0.574 −0.581 −0.577 0.274 −0.899 −0.340 0.362 −0.877 −0.315
13 0.621 −0.648 −0.441 0.456 −0.879 −0.138 0.268 −0.930 −0.250
14 0.380 −0.742 −0.552 0.309 −0.925 −0.222 0.282 −0.860 −0.424
15 0.395 −0.751 −0.529 0.611 −0.745 −0.268 0.384 −0.923 −0.009
16 0.472 −0.779 −0.412 0.537 −0.812 −0.228
17 0.427 −0.833 −0.351 0.220 −0.975 −0.024
18 0.645 −0.464 −0.607 0.281 −0.900 −0.334

−1Ū 0.487 −0.691 −0.535 0.430 −0.850 −0.305 0.314 −0.916 −0.251

0.98 0.98 0.99

Data source: Keifer (2005).