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. 2019 Jan 30;9:944. doi: 10.1038/s41598-018-37632-1

Table 1.

Statistical results of Rayleigh’s test applied to northern anchovy double swimming angles.

Corresponding figure % polarization ā (°) SD a (°) R z u
2a 0 178 101 none 11.384 1.296 N/A
2b 19 210 78 218 23.156 5.362 3.229
2c 67 193 95 190 28.765 8.274 4.052
2d 98 185 105 180 28.956 8.384 4.086

Symbols are as follows: ā, mean double angle; SD, standard deviation; a, theoretical double angle; R, Rayleigh’s statistic; z, statistic for circular uniformity; u, statistic for distribution along a mean direction. The data represented by the mean double angle are uniformly distributed around the trigonometric circle if z ≤ z0.05,100 = 2.988. The data are distributed along a specific mean direction (the angle a, corresponding to Emin) if u ≥ u0.05,100 = 1.645. The panels on Fig. 2 corresponding to each statistic are indicated on the Table.