Table 2.

Model parameters to predict eye movements from tilt or translation axis

Predicted Value (y)	a	B	c	d	RMSE
Static tilt model equation: y = a × cos(b × tiltAxis + c) + d
Magnitude ratio	−0.71	1.94	114.5	1.33	0.81
Right eye X-component	4.77	1.05	158.3	−0.30	2.06
Right eye Y-component	3.61	1.03	121.5	−0.12	1.81
Right eye Z-component	−1.62	0.99	100.1	0.01	2.20
Left eye X-component	−4.39	0.99	26.5	−0.06	1.98
Left eye Y-component	3.82	1.03	78.5	−0.04	2.22
Left eye Z-component	1.00	1.14	26.7	0.03	2.53

Horizontal plane translation model equation: y = a × TranslationAmplitude × cos(b × tiltAxis + c) + d
Magnituderatio	0.36	2.03	77.5	1.41	0.55
Right eye X-component	0.79	1.01	64.3	0.005	0.66
Right eye Y-component	0.57	1.0	15.9	0.0003	0.50
Right eye Z-component	−0.41	0.99	54.6	0.001	0.61
Left eye X-component	0.68	1.03	110.4	−0.03	0.58
Left eye Y-component	0.46	1.0	−12.1	0.0	0.45
Left eye Z-component	0.39	1.01	−69.5	0.008	0.74

Model output for 2 different nonlinear mixed effect models created to predict a component of eye movement based on the fixed effect (input) of tilt or translation axis. Equations for each model are listed. Static tilt results are shown in Fig. 4. Horizontal plan translation results are shown in Fig. 8. RMSE, root mean square error.