Table 3.
Size 1000 Surrogate Data Distribution Means and Effect Sizes
| Data Types | Mean Peak Correlation |
SD Peak Correlation |
Mean Peak Time-Lag |
SD Peak Time-Lag |
Mean Absolute Fisher’s Z |
|---|---|---|---|---|---|
| Data Shuffling | |||||
| WSize=2sec, τMax=2sec | |||||
| Sine Waves | 0.28* (0.63) | 0.13* (−0.13) | −0.11 (0.11) | 4.08* (−4.08) | 0.19* (0.97) |
| Motion Capture | 0.07* (0.35) | 0.07* (0.26) | 0.14 (3.68) | 30.03* (11.53) | 0.06* (0.34) |
| Motion Energy Analysis | 0.29* (0.46) | 0.16* (0.14) | −0.39* (0.81) | 6.15* (1.18) | 0.19* (0.47) |
| Random Noise | 0.02 (−0.001) | 0.08 (0.07) | 0.04 (−1.61) | 4.73 (17.82) | 0.02 (0.04) |
| WSize=30sec, τMax=5sec | |||||
| Sine Waves | 0.002* (0.25) | 0.01* (−0.01) | −0.24 (0.24) | 4.51* (−4.51) | 0.05* (1.85) |
| Motion Capture | 0.01* (0.17) | 0.01* (0.17) | 1.53 (2.88) | 58.94* (39.94) | 0.02* (0.12) |
| Motion Energy Analysis | 0.06* (0.41) | 0.05* (0.15) | −0.40 (−0.83) | 11.97 (−2.98) | 0.05* (0.17) |
| Random Noise | 0.02 (0.01) | 0.01 (0.01) | 0.18 (0.60) | 7.61 (−0.13) | 0.05 (−0.001) |
| 2-Second segment shuffling | |||||
| WSize=2sec, τMax=2sec | |||||
| Sine Waves | 0.90* (0.01) | 0.01* (−0.01) | −0.001 (0.001) | 0.09* (−0.09) | 1.20* (−0.04) |
| Motion Capture | 0.39 (0.03) | 0.32 (0.01) | 0.79 (3.03) | 41.47 (0.09) | 0.39 (0.01) |
| Motion Energy Analysis | 0.64* (0.11) | 0.32 (−0.02) | −0.07 (0.49) | 6.89 (0.65) | 0.57* (0.09) |
| Random Noise | 0.02 (−0.001) | 0.08 (−0.07) | −0.01 (−1.64) | 6.10 (16.45) | 0.02 (0.04) |
| WSize=30sec, τMax=5sec | |||||
| Sine Waves | 0.06* (0.19) | 0.03* (−0.03) | 0.01 (−0.01) | 4.44* (−4.44) | 1.13* (0.77) |
| Motion Capture | 0.12 (0.06) | 0.12 (0.06) | −8.18 (51.59) | 79.11 (19.77) | 0.11* (0.03) |
| Motion Energy Analysis | 0.18* (0.29) | 0.18 (0.02) | 0.51 (−1.74) | 14.42 (−5.43) | 0.14* (0.08) |
| Random Noise | 0.02 (0.01) | 0.01 (0.01) | 0.20 (0.58) | 7.41 (0.07) | 0.05 (−0.001) |
| 30-Second segment shuffling | |||||
| WSize=2sec, τMax=2sec | |||||
| Sine Waves | 0.89* (0.02) | 0.01* (−0.01) | −0.003 (0.003) | 0.09 (−0.09) | 1.23 (−0.07) |
| Motion Capture | 0.41 (0.01) | 0.33 (0.001) | 0.24 (3.58) | 40.10 (1.46) | 0.39 (0.01) |
| Motion Energy Analysis | 0.69* (0.06) | 0.33* (−0.03) | 0.38 (3.46) | 7.03 (34.53) | 0.63* (0.03) |
| Random Noise | 0.01 (0.01) | 0.08 (−0.07) | −0.02 (−1.63) | 2.97 (19.58) | 0.02 (0.04) |
| WSize=30sec, τMax=5sec | |||||
| Sine Waves | 0.19* (0.06) | 0.04* (−0.04) | 0.70 (−0.70) | 4.12* (−4.12) | 1.03* (0.87) |
| Motion Capture | 0.15 (0.03) | 0.13 (0.05) | 30.31 (13.10) | 95.88 (3.00) | 0.14 (0.001) |
| Motion Energy Analysis | 0.20* (0.27) | 0.22 (−0.02) | −0.60 (−0.63) | 13.61 (−4.62) | 0.18* (0.04) |
| Random Noise | 0.02 (0.01) | 0.02 (0.001) | 1.09 (−0.31) | 7.10 (0.38) | 0.05 (−0.001) |
| Data Sliding | |||||
| WSize=2sec, τMax=2sec | |||||
| Sine Waves | 0.87 (0.04) | 0.005 (−0.005) | −0.25 (0.25) | 2.28 (−2.28) | 1.10 (0.06) |
| Motion Capture | 0.40 (0.02) | 0.34 (−0.01) | 1.07 (2.75) | 43.21 (−1.64) | 0.42 (−0.02) |
| Motion Energy Analysis | 0.49 (0.26) | 0.35* (−0.05) | 0.12 (0.30) | 7.04 (0.29) | 0.65 (0.01) |
| Random Noise | 0.02 (−0.001) | 0.07 (−0.06) | 0.00 (−1.65) | 6.19 (16.36) | 0.02 (0.04) |
| WSize=30sec, τMax=5sec | |||||
| Sine Waves | 0.23 (0.02) | 0.01 (−0.01) | 0.60 (−0.60) | 1.08 (−1.08) | 1.06* (0.84) |
| Motion Capture | 0.11* (0.07) | 0.08* (0.10) | 0.33 (43.08) | 81.85 (17.03) | 0.09* (0.05) |
| Motion Energy Analysis | 0.23* (0.24) | 0.22 (−0.02) | −0.47 (−0.76) | 14.28 (−5.29) | 0.17* (0.05) |
| Random Noise | 0.02 (0.01) | 0.01 (0.01) | 0.16 (0.62) | 7.41 (0.07) | 0.05 (0.001) |
| Participant Shuffling | |||||
| WSize=2sec, τMax=2sec | |||||
| Sine Waves | 0.45 (0.46) | 0.04 (−0.04) | 0.93 (−0.93) | 3.77* (−3.77) | 0.35* (0.81) |
| Motion Capture† | 0.34* (0.08) | 0.23* (0.10) | −0.01* (3.83) | 3.32* (38.24) | 0.32* (0.08) |
| Random Noise | 0.01 (0.01) | 0.08 (−0.07) | 0.07 (−1.72) | 2.18 (20.37) | 0.02 (0.04) |
| WSize=30sec, τMax=5sec | |||||
| Sine Waves | 0.23 (0.02) | 0.01 (−0.01) | 0.60 (−0.60) | 1.11 (−1.11) | 1.14* (0.76) |
| Motion Capture† | 0.61* (−0.43) | 0.20 (−0.02) | −0.001* (43.41) | 0.07* (98.81) | 0.28 (−0.14) |
| Random Noise | 0.01 (0.02) | 0.01 (0.01) | 0.78 (−0.001) | 19.27 (−11.79) | 0.04 (0.01) |
*
observed synchrony scores outside of 95% of surrogate data distribution
†
due to data limitations, only 155 surrogate data points were used to created these values
Note. WSize is the size of the windows used in a windowed cross-correlation of these data sources and τMax is the maximum lag value for the same windowed cross-correlation. Effect sizes appear in parentheses and are calculated as (observed synchrony value - surrogate distribution mean). Participant shuffling for motion capture data uses fewer surrogate data points due to the data set only containing 155 interacting pairs.