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Table 1 Technical properties of different existing smoothness measures

From: On the analysis of movement smoothness

Measure Validity Sensitivity Reliability Practicality
  D M1 M2   Measurement noise  
Root mean square jerk × - - - -
Normalized mean absolute jerk × - - - -
Dimensionless jerk × ×
Log dimensionless jerk ×
No. of peaks × ×
Speed arc length ×
Spectral arc length       
(SAL introduced in [4]) ×
Spectral arc length       
(SPARC introduced in this paper)
  1. D - Dimensionless; M1 - Monotonic response to changes in submovement interval; M2 - Monotonic response to changes in number of sub-movements. (× means the measure does not satisfy this property, \(\checkmark \) indicates that it does satisfy the property. − indicates that information about this property is not available)