3The late positive potential (LPP) is a common measurement used to study emotional 3 4 processes of subjects in event-related potential (ERP) paradigms. Despite its extensive 3 5 use in affective neuroscience, there is presently no gold standard for how to 3 6 appropriately power ERP studies using the LPP in within-subject and between-subjects 3 7 experimental designs. The present study investigates how the number of trials, number 3 8 of subjects, and magnitude of the effect size affect statistical power in analyses of the 3 9 LPP. Using Monte Carlo simulations of ERP experiments with varying numbers of trials, 4 0 subjects, and effect sizes, we measured the probability of obtaining a statistically 4 1 significant effect in 1,489 different experiments repeated 1,000 times each. Predictably, 4 2our results showed that statistical power increases with increasing numbers of trials and 4 3 subjects and at larger effect sizes. In addition, we found that higher levels of statistical 4 4 power can be achieved with lower numbers of subjects and trials and at lower effect 4 5 sizes in within-subject than in between-subjects designs. Furthermore, we found that, as 4 6 subjects are added to an experiment, the slope of the relationship between effect size 4 7 and statistical power increases and shifts to the left until the power asymptotes to nearly 4 8