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. 2015 Apr 16;5:9678. doi: 10.1038/srep09678

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The p values of the Rayleigh test for circular uniformity under the null hypothesis that the samples are uniformly distributed around a circle assuming a von Mises distribution. Variations between rested and sleep inertia state (a,b) reject the null hypothesis, indicating a statistical significant direction in both repetitions. Variations in similar states (c,d) do not reject the null hypothesis indicating an insignificant directionality of the vectors.