Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Wave 15 refreshes the panel with new respondents. Wave 14 completed 8,215 interviews, the smallest wave to date, and on the three previous occasions when a wave without a refresh was followed by a refreshed wave the sample grew by 9, 10 and 14 percent; power is therefore planned at 9,000 completes, about 2,250 per arm, with 8,000 as the pessimistic case. The survey organization's stated target is about 10,000, which would improve each figure below by roughly 5 percent. Using MDE = 2.8 x SD x sqrt(2/n per arm) at 80 percent power and a 5 percent two-sided test, with n = 2,250 per arm: any pairwise arm contrast on the allocation amount has an MDE of approximately 8.3 percent of a standard deviation of the outcome (the outcome is newly fielded, so no historical standard deviation exists; effects are expressed in standard-deviation units). On the extensive margin, assuming a baseline share of 35 percent allocating a positive amount, the pairwise MDE is approximately 4.0 percentage points. For interactions of a pairwise contrast with a standardized moderator, the MDE is approximately 8.3 percent of a standard deviation per one standard deviation of the moderator.