Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
We conducted an ex‑ante Monte Carlo simulation (1,000 loops) using our 12‑task choice design, accounting for individual‑level clustering. The target parameter is the utility coefficient (β) on the logit scale, with the unobserved error variance normalized to π²/3 ≈ 3.29. To account for taste heterogeneity, baseline parameters were informed by a pilot study (N = 19; 304 observations). The Minimum Detectable Effect Size for our primary outcomes—the interaction effects between reference price treatments and honey attribute (Prairie Strip and Solar Farm)—is set to a conservative small effect size (Cohen’s d = 0.20), which corresponds to a fixed structural mean shift of approximately 0.36 on the logit scale. Simulation results show that at a 5% significance level, a sample of 1000 respondents achieves the statistical power of 80% across all interaction parameters.