Table 3.
Chi-squared values for the Rayleigh test.
| vin = 0 | vin = 2 | |||||
|---|---|---|---|---|---|---|
| Model | RBSS | RBB | RTS | RBSS | RBB | RTS |
| Figure-8 | 0.4 | 2.7 | 0.6 | 4.3 | 15.7 | 4.9 |
| Model A | 1.5 | 1.6 | 0.8 | 5.8 | 12.1 | 1.2 |
| I.A.4i.c.(0.5) | 1.6 | 0.3 | 3.4 | 0.1 | 0.6 | 0.8 |
![]() |
2.1 | 1.8 | 3.1 | 1.1 | 6.1 | 2.5 |
Notes. Statistical tests with three degrees of freedom for spherical isotropy in azimuth and polar angles for the various simulation outcomes for braids Figure-8, model A, I.A.4i.c.(0.5), and
. We performed 300 simulations for each set of initial conditions. In both sets min = 1 and din = 0. The left set of runs was performed using the incoming velocity vin = 0, the right set using vin = 2. Here RBSS, RBB, and RTS give the value of Rayleigh Chi-squared for the binary-single-single, binary-binary, and triple-single results. Note that the null hypothesis (consistent with isotropy) is met for values ≪3. For values ≫3 the distribution is evidently anisotropic. Note that in all cases p < 0.05, indicating that our results are statistically significant.
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