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Table 4.

Measures of Synchronization

PRECISION Pairwise asynchronization = SD of the onset time differences of simultaneous sounds of two parts (such as between A1 and B1 in Figure 3; Rasch, 1988, p. 73) 
 Group asynchronization (A) = RMS of all Pairwise asynchronization values (Rasch, 1988, p. 74) 
 Mean absolute asynchrony Calculated as the mean of all unsigned asynchrony values 
 Mean vector length (r) Circular statistics measure of precision; scale from 0 – 1 
ACCURACY (RELATIVE POSITION) Mean relative position Mean of one instrument’s onsets relative to the group's mean position 
 Mean pairwise asynchrony Relative position of two instruments calculated as the mean difference in their onsets, i.e., the signed asynchrony values 
 Mean vector angle (µ) Circular statistics measure of relative position (i.e., relative phase) 
PRECISION Pairwise asynchronization = SD of the onset time differences of simultaneous sounds of two parts (such as between A1 and B1 in Figure 3; Rasch, 1988, p. 73) 
 Group asynchronization (A) = RMS of all Pairwise asynchronization values (Rasch, 1988, p. 74) 
 Mean absolute asynchrony Calculated as the mean of all unsigned asynchrony values 
 Mean vector length (r) Circular statistics measure of precision; scale from 0 – 1 
ACCURACY (RELATIVE POSITION) Mean relative position Mean of one instrument’s onsets relative to the group's mean position 
 Mean pairwise asynchrony Relative position of two instruments calculated as the mean difference in their onsets, i.e., the signed asynchrony values 
 Mean vector angle (µ) Circular statistics measure of relative position (i.e., relative phase) 
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