Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
All figures are minimum detectable effects at 80% power, α = 0.05 two-sided, at N = 2,200 completing Wave 2 (approximately 733 per condition). Estimates are simulation-based. Conjoint estimands use a within-task-differenced linear probability model with respondent-clustered CR1 standard errors; the clustered estimator was verified by simulation to have a standard error 1.41 times the classical one, and this factor is applied throughout.
Individual-measure acceptability (inverse-covariance-weighted index across seven items, 7-point scale). Pairwise contrast between two conditions: 0.146 SD, equivalent to approximately 0.22 scale points if the index standard deviation is 1.5. Comparison of the two information conditions pooled against control: 0.127 SD, approximately 0.19 scale points.
Conjoint attribute effects (AMCEs on choice probability, pooled across conditions, all 2,200 respondents contribute): 3.6 percentage points.
Comparison of attribute effects across conditions (difference in marginal means between two conditions): 4.6 percentage points for a single pre-specified comparison, rising to 6.2 percentage points under Bonferroni correction across the fourteen attribute-level comparisons.
Package acceptability rating (7-point scale, eight profile ratings per respondent, assumed respondent-level ICC of 0.5): 0.110 SD, approximately 0.16 scale points.