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Movement Timing and Invariance Arise from Several Geometries
Figure 4
Locomotion data: 
scores for the 4 models and for the different figural forms.
(A) Akaike's Information Criterion (
) scores, averaged across subjects and repetitions, for the 4 models for all the shapes of the locomotion data. SDs of the 
scores are also shown. The figure in the upper row in panel (A) shows the 
scores for the 
(all data), while the figure in the lower row in panel (A) shows the 
scores for the 
data. The lower the 
score is, the better is the model. Red bars show the scores of the combination of geometries model (
); green bars, scores of the constrained minimum-jerk model (
); yellow bars, the constant equi-affine speed model (
); cyan bars, the scores of the constant affine velocity model (
). (B) Brown bars show the average probabilities (averaged across subjects and repetitions) that the combined model is better than the minimum-jerk model for the different shapes. SDs are also shown. The probabilities were calculated according to the equation 
, where 
is the differences in scores between the two models. The figure on the left (panel (B)) shows the results for the 
, while panel (B) on the right shows the results for the 
. In both figure panels, the cloverleaves are marked by 
. The limaçon and the lemniscate are marked by 
and by 
, respectively, according to the ascending ratios of perimeters of the large to the small loops.
doi: https://doi.org/10.1371/journal.pcbi.1000426.g004