Table 2.

Simulating athletes’ psychometric functions by adjusting $k$, $\tau$, $\delta ,$ and ${\tau }_a$ to control angular threshold (75%) and slope, along with average reaction times.

Rotation Detectors Are Active for Simulating B10
Subjects	Angular Thresholds from Experiment	Angular Thresholds from Simulation	Slopes from Experiment	Slopes from Simulation	Reaction Time from Experiment	Reaction Time from Simulation	Inhibitory Gain (k)	$\mathbf{Time} \mathbf{Constant}$($\mathit{\tau }$)	$\mathbf{Noise}$( $\mathit{\delta }$ )	Adaptation Onset (${\mathit{\tau }}_{\mathit{a}}$)
‘C12’	4.041 ± 1.06	5.252 ± 0.20	0.261 ± 0.030	0.263 ± 0.0049	0.994 ± 0.07	1.148 ± 0.0005	4	0.025	0.022	1.22
‘A10’	4.176 ± 1.08	˶	0.252 ± 0.029	˶	0.929 ± 0.04	˶	˶	˶	˶	˶
‘B04’	4.506 ± 1.11	˶	0.246 ± 0.028	˶	1.194 ± 0.05	˶	˶	˶	˶	˶
‘B01’	4.805 ± 1.13	˶	0.243 ± 0.027	˶	1.443 ± 0.06	˶	˶	˶	˶	˶
‘A15’	5.321 ± 1.15	5.317 ± 0.19	0.242 ± 0.025	0.276 ± 0.005	1.131 ± 0.08	1.106 ± 0.0002	2	0.033	0.032	1.34
‘B05’	5.361 ± 1.05	5.201 ± 0.18	0.284 ± 0.028	0.307 ± 0.0055	1.165 ± 0.01	1.146 ± 0.0002	4	0.037	0.030	1.40
‘B09’	6.602 ± 1.42	6.872 ± 0.27	0.188 ± 0.021	0.180 ± 0.0036	1.001 ± 0.03	1.020 ± 0.0003	4	0.025	0.034	1.22
‘A11’	6.637 ± 1.52	˶	0.171 ± 0.023	˶	1.013 ± 0.05	˶	˶	˶	˶	˶
‘A06’	6.609 ± 1.22	6.793 ± 0.25	0.233 ± 0.020	0.200 ± 0.0038	0.989 ± 0.03	0.883 ± 0.0002	8	0.033	0.032	1.10
‘A01’	7.000 ± 1.52	6.909 ± 0.25	0.175 ± 0.02	0.205 ± 0.0038	1.007 ± 0.01	1.089 ± 0.0003	8	0.030	0.034	1.40
‘C07’	7.097 ± 1.42	˶	0.192 ± 0.02	˶	1.169 ± 0.07	˶	˶	˶	˶	˶
‘C11’	7.165 ± 1.39	˶	0.197 ± 0.02	˶	1.146 ± 0.08	˶	˶	˶	˶	˶
‘B14’	7.692 ± 1.80	7.701 ± 0.36	0.147 ± 0.018	0.131 ± 0.0032	1.005 ± 0.04	1.076 ± 0.0009	1	0.024	0.026	0.96
‘B08’	7.753 ± 1.81	˶	0.146 ± 0.018	˶	0.923 ± 0.06	˶	˶	˶	˶	˶
‘A02’	7.837 ± 1.87	˶	0.141 ± 0.018	˶	1.133 ± 0.04	˶	˶	˶	˶	˶
‘A13’	7.873 ± 1.69	˶	0.159 ± 0.018	˶	1.203 ± 0.08	˶	˶	˶	˶	˶
‘B11’	8.132 ± 2.00	8.459 ± 0.39	0.132 ± 0.017	0.124 ± 0.0031	1.065 ± 0.02	1.116 ± 0.0009	1	0.024	0.028	1.00
‘C13’	8.594 ± 2.09	˶	0.128 ± 0.017	˶	1.147 ± 0.05	˶	˶	˶	˶	˶
‘C04’	9.173 ± 1.78	9.685 ± 0.35	0.158 ± 0.017	0.148 ± 0.003	0.887 ± 0.03	0.880 ± 0.0003	16	0.025	0.034	1.04
‘B03’	9.191 ± 2.64	9.292 ± 0.45	0.103 ± 0.016	0.111 ± 0.0029	1.141 ± 0.07	1.181 ± 0.0012	2	0.024	0.028	1.00
‘C06’	9.543 ± 2.34	9.709 ± 0.41	0.118 ± 0.016	0.123 ± 0.0029	0.899 ± 0.05	1.078 ± 0.001	2	0.024	0.030	0.90
‘B07’	9.589 ± 2.86	˶	0.096 ± 0.016	˶	1.264 ± 0.07	˶	˶	˶	˶	˶
‘C08’	9.747 ± 1.70	9.838 ± 0.32	0.170 ± 0.017	0.167 ± 0.0031	0.947 ± 0.05	0.944 ± 0.0003	32	0.033	0.032	1.22
‘A03’	10.490 ± 1.56	12.076 ± 0.43	0.130 ± 0.011	0.130 ± 0.0028	0.964 ± 0.04	0.858 ± 0.0006	32	0.025	0.340	0.88
‘A04’	10.801 ± 2.20	˶	0.132 ± 0.016	˶	0.757 ± 0.05	˶	˶	˶	˶	˶
‘A07’	10.843 ± 2.26	˶	0.128 ± 0.016	˶	0.871 ± 0.05	˶	˶	˶	˶	˶
‘A05’	10.770 ± 2.72	10.747 ± 0.41	0.105 ± 0.015	0.130 ± 0.0029	1.098 ± 0.06	1.068 ± 0.0014	4	0.024	0.028	0.80
‘C01’	10.830 ± 2.61	˶	0.110 ± 0.016	˶	0.909 ± 0.06	˶	˶	˶	˶	˶
‘A08’	12.132 ± 2.76	12.722 ± 0.45	0.109 ± 0.015	0.124 ± 0.0027	0.793 ± 0.03	0.962 ± 0.0013	4	0.024	0.032	0.66
‘B02’	12.173 ± 2.68	˶	0.113 ± 0.015	˶	0.936 ± 0.05	˶	˶	˶	˶	˶
‘B06’	12.525 ± 2.82	˶	0.108 ± 0.015	˶	0.888 ± 0.06	˶	˶	˶	˶	˶
‘B13’	12.860 ± 3.94	11.549 ± 0.49	0.078 ± 0.015	0.109 ± 0.0028	1.032 ± 0.06	1.067 ± 0.0011	2	0.024	0.034	0.84
*’B10’	13.160 ± 3.02	13.363 ± 0.56	0.103 ± 0.015	0.101 ± 0.0027	1.044 ± 0.06	1.208 ± 0.0009	64	0.025	0.036	1.15
‘A14’	16.617 ± 4.89	17.319 ± 0.74	0.071 ± 0.014	0.088 ± 0.0025	1.058 ± 0.06	1.154 ± 0.0017	4	0.024	0.038	0.60
‘A09’	17.194 ± 5.84	˶	0.061 ± 0.014	˶	1.014 ± 0.04	˶	˶	˶	˶	˶
‘C02’	17.787 ± 5.36	˶	0.068 ± 0.014	˶	0.842 ± 0.04	˶	˶	˶	˶	˶

“˶” indicates that the simulated values are the same for the subjects listed below the subject with actual value.