Movement Timing and Invariance Arise from Several Geometries
Figure 3
Drawing 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 drawn shapes. Also shown are the standard deviations (SDs)of the AIC scores. The lower the
score is, the better is the model. Red bars show the scores of the model of the combination of geometries (
); green bars, scores of the constrained minimum jerk model (
); yellow bars, the constant equi-affine speed model (
); cyan bars, 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. Standard deviations are also shown. The probabilities were calculated according to the equation
, where
is the differences in scores between the two models. In both figure panels, the cloverleaves are marked by
in the order of ascending speed. 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.