Frequency at which each root is observed in simulations using lme4’s default settings. Throughout, . For the ‘large’ values of , , and , we used 0.125. For the ‘small’ values, we used 0.001. Note that these correspond to ACCs ranging between 0.001 and 0.16 for the time-fitted random treatment case, and ranging between 0.002 and 0.20 for the treatment-fitted random time case.