Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Using data from Ko, Mahmood, Tayawa (2025, under review), we calculate several hypothesized coefficients for the effect of the reward level and prior on the chosen level of informativeness. For the effect of a change in reward, the coefficients are 0.1140, 0.1254, 0.1368, and 0.1482 percentage points for priors 0.5, 0.55, 0.6, and 0.65, respectively. For the effect of a change in the prior when the subject is represented as by a Prior-Invariant model, the coefficients are -0.0684, -0.1140, -0.1596, -0.2052 percentage points for reward levels 0.3, 0.5, 0.7, and 0.9, respectively.