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Fig. 3 | Movement Ecology

Fig. 3

From: The multivariate analysis of variance as a powerful approach for circular data

Fig. 3

Power of several hypothetical examples for the proposed approach. In a hypothetical 5-year study (linear variable) of a population composed of two groups (grouping variable) the orientation performance of subjects is measured. P values for the MANOVA intercepts as well as Rayleigh and HR test are shown in the left panel, p values for the linear variables in the center and grouping variables in the right panel. In the case of randomized data (a), all p values of all measured tests remained at nominal levels. In all following distributions the clustering of orientations continuously increased each year, however, mean orientation was identical between all groups. First, we only changed the yearly increase from 0–2 (b) to 2–4 (c). In a second step, we used different yearly clustering increases for group 1 and group 2 (d)

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