Table 8

. Motion type by initial directions 2 × 2 Interaction effect; inferential statistics

Group	Asynchrony	Interaction magnitude (d´)	Monte Carlo p value
All groups combined (N = 121)	All asynchronies combined	0.8019	<0.0001
	67 ms	0.8416	<0.0001
	133 ms	0.8788	<0.0001
	200 ms	1.214	<0.0001
Percussion (N = 25)	All asynchronies combined	0.8676	0.0005
	67 ms	1.078	<0.0001
	133 ms	0.825	0.0001
	200 ms	0.4851	0.0019
Brass (N = 67)	All asynchronies combined	0.7821	<0.0001
	67 ms	0.6469	<0.0001
	133 ms	0.8937	<0.0001
	200 ms	1.1193	<0.0001
Color guard (N = 29)	All asynchronies combined	0.7999	<0.0001
	67 ms	0.4176	0.0245
	133 ms	0.7701	0.0006
	200 ms	0.8579	0.0008

Each combination of group and asynchrony generated a significant motion type (radial, rotational) by initial directions (same, opposite) 2 × 2 interaction, according to nonparametric Monte Carlo simulations. Interaction magnitudes reflect d´ units. The significant 2 × 2 interactions across conditions argue against accounts in which shared neural events set the limit on radially and rotationally defined TOJs.