	A	B	C	D
1	Question/comparison	Values	Statistical test and n numbers	stat results
2
3	Distance measures [onset period]	Mean (SEM)	LME, n=5subs x 6 speeds
4			f = 'vals ~ state + (1\|speed) + (1\|sesh)';
5	Distance travelled	Stat: 26.2406 (1.0390)		p = 0.22119
6		Run: 25.1319 ( 1.0030)
7
8	Direct distance	Stat: 3.9880 ( 0.2903)		p = 9.3017e-19
9		Run: 8.1150 (0.4322)
10
11	Distance Ratio (stats on log2 transform)	Stat: 7.8033 (0.8106)		p = 3.7498e-19
12		Run: 3.2266 (0.1308)
13
14
15	Distance measures [offset period]	Mean (SEM)	LME, n=5subs x 6 speeds
16			f = 'vals ~ state + (1\|speed) + (1\|sesh)';
17	Distance travelled	3.4389 0.2655		p = 2.9479e-10
18		5.2039 0.3384
19
20	Direct distance	1.8828 0.1703		p = 1.6257E-17
21		3.7855 0.2412
22
23	Distance Ratio	2.0462 0.1440		p = 2.7651e-07
24		1.3763 0.0309
25
26
27
28	Speed and Acceleration	Mean (SEM)
29	Max speed (onset)	Stat: 8.5380 (0.4404)		p =2.7519e-07
30		Run: 10.3263 ( 0.3659)
31
32	Offset	stat: 4.1932 (0.3619)		p = 1.1402e-10
33		run: 6.3788 ( 0.4273)
34
35	Relative spectral power of accelerations	Mean (SEM)
36	Low band (0-6 Hz)	Stat: 0.9829 ( 0.0842)		adtest for normality, p = 0.4543
37	power spectrum (0-20Hz) normalised by mean of spectrum	Run: 1.6003 (0.0505)	paired t-test	p = 7.4565e-07
38
39	High band (6-20 Hz)	Stat: 1.0068 (0.0401)		same p-values since using relative power
40		Run: 0.7153 (0.0240)	paired t-test
41
42
43	Angle of approach	Mean (SEM)	LME
44	Cumulative change in angle (onset)	Stat: 516.9536 (18.1672) Run: 318.8556 (9.4587)	f = 'vals ~ state + (1\|speed) + (1\|sesh)';	p = 2.5761e-17
45
46	Offset	Stat: 363.2068 (15.9508)		p = 9.4107e-13;
47		Run: 220.9804 (11.8478)
48
49
50	Trajectory tangling		RM-ANOVA (n=5subs x 6 speeds)
51			[p,tbl,stats,terms] = anovan(allVals,{timeVec,stateVec,subjVec},'model',2,'random',3,'varnames',{'Time','State','Subj'});
52				Source Sum Sq. d.f. Mean Sq. F Prob>F ----------------------------------------------------------- Time 0.00622 179 0.00003 3.35 0 State 0.00698 1 0.00698 18.91 0.0025 Subj 0.00295 4 0.00074 1.7 0.3063 TimeState 0.00537 179 0.00003 8.36 0 TimeSubj 0.00743 716 0.00001 2.9 0 State*Subj 0.00171 4 0.00043 119.21 0 Error 0.03482 9716 0 Total 0.06548 10799
53
54	Distance between trajectories	Mean (SEM)	paired t-test on mean range over stimulus perirod	[h,p] = adtest(meanStat-meanRun), p = 0.1725
55		Stat: 2.8697 (0.4900)	n = 5 subs	ttest, p = 1.5966e-04
56		Run: 5.9521 (0.5448)
57
58	LDA decoding	RM ANOVA	[p,tbl,stats,terms] = anovan(decVec,{timeVec,stateVec,subjVec},'model',2,'random',3,'varnames',{'Time','State','Subj'});	---------------------------------------------------------- Source Sum Sq. d.f. Mean Sq. F Prob>F ---------------------------------------------------------- Time 56.0652 189 0.2966 85.95 0 State 11.0198 1 11.0198 37.86 0.0035 Subj 4.3994 4 1.0999 3.77 0.1129 TimeState 1.9574 189 0.0104 3.61 0 TimeSubj 2.6091 756 0.0035 1.2 0.0056 State*Subj 1.1642 4 0.291 101.45 0 Error 2.1689 756 0.0029 Total 79.3841 1899
59
60
61	Cross-condiiton tangling	RM ANOVAa	[p,tbl,stats,terms] = anovan(allVals,{timeVec,stateVec,subjVec},'model',2,'random',3,'varnames',{'Time','State','Subj'});	---------------------------------------------------------- Source Sum Sq. d.f. Mean Sq. F Prob>F ----------------------------------------------------------- Time 0.0133 179 0.00007 80.56 0 State 0.00398 1 0.00398 121.06 0 Subj 0.00015 4 0.00004 2.24 0.305 TimeState 0.00274 179 0.00002 28.74 0 TimeSubj 0.00066 716 0 1.72 0 State*Subj 0.00009 4 0.00002 4.3 0.3286 Error 0.02822 52916 0 Total 0.04915 53999
62
63
64
65
66
67	Single trial analyses
68
69	Distance ratios	Mean (SEM)	LME
70	Onset	Stat: 5.9616 (0.2457)	f = 'vals ~ state + (1\|speed) + (1\|sesh)';	p = 3.7556e-17
71		Run: 3.5406 (0.1175)
72
73	Offset	Stat 3.3985 (0.2760)		p = 0.0026599
74		Run: 2.6915 (0.0603)
75
76
77
78
79	Trajectory tangling		RM-ANOVA, n =5 subs x 6 speeds (single-trial tanngling averaged to give conditon mean)
80			[p,tbl,stats,terms] = anovan(allVals,{timeVec,stateVec,subjVec,speedVec},'model','full','varnames',{'Time','State','Subj','Speed'});
81
82
83
84
85
86	Max traj speed		LME on top speed
87	Onset	Mean (SEM)	f = 'vals ~ state + (1\|speed) + (1\|sesh)';	p = 2.2739e-91
88		Stat: 5.5875 (0.1275)
89		Run: 5.0372 (0.1479)
90
91	Offset	Stat: 3.0462 (0.1466)		p = 6.5038E-64
92		Run: 3.6087 (0.0873)
93
94	Power spectrum of accelerations -> can't do on single trials (too noisy)
95
96
97
98	Angle of approach	Mean (SEM)
99	Onset	Stat: 570.2476 (24.5051)	f = 'vals ~ state + (1\|speed) + (1\|sesh)';	p = 1.0438e-96
100		Run: 524.2078 (26.0895)
101
102	Offset	Stat: 495.3645 (28.6612)		p = 1.4504e-152
103		Run: 415.1111 (19.0039)