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Question/comparisonValuesStatistical test and n numbersstat results
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Magnitude of correlataionsMean (SEM)Mean abs value over stimulus period + LME on pairs
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Noise CorrsStat: 0.0960 (0.0007)f = 'vals ~ state + (1|pair) + (1|sesh)';
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Run: 0.0607 (0.0005)nSeshpairs = 9730 4095 2556 2485 666 pVal = 0
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Total pairs = 19532
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Signal CorrsStat: 0.0440 (0.0003)pVal=0
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Run: 0.0767 (0.0006)
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Slope of signal and noise correlationsRM-anova, n = 5 subjects.
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[p,tbl,stats,terms] = anovan(slopeVec,{timeVec,stateVec,subjVec},'model',2,'random',3,'varnames',{'Time','State','Subj'});
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 10.8998 105 0.1038 2.7 0
State 11.3975 1 11.3975 11.58 0.0272
Subj 4.7841 4 1.196 1.21 0.4276
Time*State 10.5841 105 0.1008 2.77 0
Time*Subj 16.1564 420 0.0385 1.06 0.2907
State*Subj 3.9355 4 0.9839 26.99 0
Error 15.3096 420 0.0365
Total 73.067 1059
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Stabilisation of signal and noise
RM ANOVAs on non-overlapping time windows, from t=0 to t=800. n= 5 subjects.
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[p,tbl,stats,terms] = anovan(noiseVec,{timeVec,stateVec,subjVec},'model',2,'random',3,'varnames',{'Time','State','Subj'});
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Noise corrs
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 4.0321 80 0.0504 19.9 0
State 1.2595 1 1.25953 9.04 0.0397
Subj 4.7597 4 1.18993 8.47 0.0301
Time*State 0.5948 80 0.00744 5.12 0
Time*Subj 0.8106 320 0.00253 1.75 0
State*Subj 0.5575 4 0.13937 96.01 0
Error 0.4645 320 0.00145
Total 12.4788 809
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Signal Corrs
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 53.9354 80 0.67419 81.63 0
State 6.3209 1 6.32093 21.69 0.0096
Subj 3.6868 4 0.9217 3.11 0.1445
Time*State 1.4626 80 0.01828 6.12 0
Time*Subj 2.643 320 0.00826 2.76 0
State*Subj 1.1659 4 0.29147 97.52 0
Error 0.9565 320 0.00299
Total 70.1711 809
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Test on traianing window (100-200)
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n=5 subjects
AD-test for normaility of difference, p = 0.1614
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paird-tt test, p = 0.0137
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Shared population activity
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Shared VarianceRM-ANOVA, 5 subjs
[p,tbl,stats,terms] = anovan(vals,{timeVec,stateVec,subjVec},'model',2,'random',3,'varnames',{'Time','State','Subj'});
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Intact noise correlations:
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 38797.1 180 215.5 13.59 0
State 725.7 1 725.7 0.7 0.4508
Subj 42673.9 4 10668.5 10.24 0.0223
Time*State 7469.4 180 41.5 2.66 0
Time*Subj 11421.1 720 15.9 1.02 0.4109
State*Subj 4165.4 4 1041.4 66.76 0
Error 11230.8 720 15.6
Total 116483.5 1809
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Disrupted noise corelations (shuffled)
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 42871.8 180 238.2 39.44 0
State 12404.8 1 12404.8 78.84 0.0009
Subj 2032.7 4 508.2 3.17 0.1402
Time*State 9714.1 180 54 18.83 0
Time*Subj 4347.6 720 6 2.11 0
State*Subj 629.4 4 157.4 54.91 0
Error 2063.3 720 2.9
Total 74063.8 1809
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Mixed model with shuffled corrs as a factor
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 76768.3 180 426.5 34.21 0
State 3564.8 1 3564.8 4.18 0.1103
Subj 16416.6 4 4104.1 0.52 0.728
Corr 344715.3 1 344715.3 48.74 0.0022
Time*State 13960.4 180 77.6 7.36 0
Time*Subj 8976.8 720 12.5 1.18 0.0022
Time*Corr 4900.7 180 27.2 2.58 0
State*Subj 3409 4 852.3 80.9 0
State*Corr 9565.7 1 9565.7 907.97 0
Subj*Corr 28290.1 4 7072.5 671.31 0
Error 24694.9 2344 10.5
Total 535262.6 3619
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[p,tbl,stats,terms] = anovan(vals,{timeVec2,stateVec2,subjVec2, corrVec},'model','interaction','random',3,'varnames',{'Time','State','Subj','Corr'});
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Dimensionality of Shared VarianceIntact
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 778.92 180 4.327 6.61 0
State 60.17 1 60.166 3.33 0.142
Subj 2322.85 4 580.712 32.13 0.0027
Time*State 97.03 180 0.539 0.85 0.9142
Time*Subj 471.55 720 0.655 1.03 0.3542
State*Subj 72.22 4 18.055 28.35 0
Error 458.58 720 0.637
Total 4261.32 1809
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Shuffled
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 433.263 180 2.407 13.59 0
State 95.611 1 95.611 94.9 0.0006
Subj 80.306 4 20.0765 18.05 0.0039
Time*State 88.189 180 0.4899 6.76 0
Time*Subj 127.494 720 0.1771 2.44 0
State*Subj 4.03 4 1.0075 13.9 0
Error 52.17 720 0.0725
Total 881.063 1809
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Mixed-model
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 1124.19 180 6.245 13.17 0
State 153.73 1 153.734 16.32 0.0156
Subj 1591.73 4 397.932 1.88 0.2681
Corr 3001 1 3000.999 14.79 0.0184
Time*State 107.67 180 0.598 1.59 0
Time*Subj 341.47 720 0.474 1.26 0.0001
Time*Corr 88 180 0.489 1.3 0.0064
State*Subj 37.69 4 9.422 24.97 0
State*Corr 2.04 1 2.043 5.41 0.0201
Subj*Corr 811.43 4 202.857 537.62 0
Error 884.44 2344 0.377
Total 8143.39 3619
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Loading similarity of first dimensionIntact
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 2.2676 180 0.0126 1.29 0.0133
State 34.1743 1 34.1743 60.47 0.0015
Subj 9.1068 4 2.2767 3.99 0.102
Time*State 4.5616 180 0.0253 6.89 0
Time*Subj 7.048 720 0.0098 2.66 0
State*Subj 2.2604 4 0.5651 153.6 0
Error 2.649 720 0.0037
Total 62.0677 1809
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Shuffled
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 2.1291 180 0.01183 1.33 0.006
State 3.1972 1 3.19722 12.38 0.0245
Subj 1.0949 4 0.27374 1.05 0.4812
Time*State 2.0078 180 0.01115 2.05 0
Time*Subj 6.4 720 0.00889 1.64 0
State*Subj 1.0329 4 0.25822 47.51 0
Error 3.9132 720 0.00543
Total 19.7751 1809
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Mixed-model
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Source Sum Sq. d.f. Mean Sq. F Prob>F
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Time 2.024 180 0.0112 0.75 0.9904
State 29.139 1 29.1386 134.83 0.0003
Subj 2.367 4 0.5919 0.27 0.8844
Corr 32.74 1 32.7396 16.72 0.015
Time*State 5.573 180 0.031 5.74 0
Time*Subj 10.79 720 0.015 2.78 0
Time*Corr 2.372 180 0.0132 2.44 0
State*Subj 0.864 4 0.2161 40.06 0
State*Corr 8.233 1 8.2329 1526.12 0
Subj*Corr 7.834 4 1.9586 363.06 0
Error 12.645 2344 0.0054
Total 114.582 3619