TABLE 2.

Variables computed for MoCap analysis

Motion time series obtained from Inverse Kinematics
Motion time series	Abbreviation	Unit	Description
Pelvis list	pelvis_list	degrees	Pelvis forward-backward rotational motion
Pelvis tilt	pelvis_tilt	degrees	Pelvis right-left rotational motion
Pelvis rotation	pelvis_rotation	degrees	Pelvis internal-external rotation
Pelvis medial-lateral translation	pelvis_tx	m	Pelvis right-left translation
Pelvis anterior-posterior translation	pelvis_ty	m	Pelvis forward-backward translation
Pelvis cranial-caudal translation	pelvis_tz	m	Pelvis upward-downward translation
Hip flexion	hip_flexion	degrees	Hip forward-backward rotational motion
Hip rotation	hip_rotation	degrees	Hip internal-external rotation
Hip adduction	hip_adduction	degrees	Hip right-left rotational motion
Knee flexion	knee_angle	degrees	Knee forward-backward rotational motion
Ankle flexion	ankle_angle	degrees	Ankle upward-downward rotational motion

Variables computed for each motion time series (y) for MoCap analysis
Variable name	Abbreviation	Unit	Description	Equation
Standard deviation	Sd	Degrees m	Standard deviation of the rotational or translational joint motion time series	$sd=\surd \left(\frac{1}{N}\sum {\left(y-mean\left(y\right)\right)}^2\right)$
Range	Range	Degrees m	Maximal amplitude of rotational movement or translational movement: maximum distance between any 2 points of the motion time series	$range=\left|\max \left(y\right)-\min \left(y\right)\right|$
Total movement	Totmov	Degrees m	Total length of time series representing total rotational or translational movement	$totmov=\sum \surd \left[{\left(y\left(n+1\right)-y\left(n\right)\right)}^2\right]$
RMS velocity	Rvelo	degrees/s m/s	Root mean square velocity of rotational or translational motion	$rvelo=\surd \left(\frac{1}{N}\sum {\left(\frac{dy}{dt}\right)}^2\right)$
RMS acceleration	Raccel	degrees/s2 m/s2	Root mean square acceleration of rotational or translational motion	$raccel=\surd \left(\frac{1}{N}\sum {\left(\frac{d^{2}y}{d{t}^2}\right)}^2\right)$
Mean percentage index	Mpi	%, deg %, m	Average percent change in position from base position	$PI=\frac{y\left(n+1\right)-y\left(n\right)}{y\left(n\right)}*100\%$
				$mpi=mean\left(PI\right)$