Table 1.

Correlation for Centered and Uncentered Main Effects With Interactions.

Distribution	Uncentered correlation	Centered correlation	Condition (5)	Condition (6)
Symmetric	0.918	0.033	False	False
Mixture	−0.033	−0.585	True*	False
Copula	0.190	0.273	True	False

^*Refers to the need to switch signs for X and Z before testing the conditions.