Fig. 3: Model comparison for pilot studies.

Results from Pilot baseline (n = 47 participants) are shown in left column, with Pilot full (n = 50) in the right column. Human participant data are reproduced from Fig. 2. In the first row, horizontal solid lines link samples data for human (black points) and Ideal Observer (grey points) when BF₀₁ > 3 (at least moderate evidence for equal means) while dotted lines indicate when BF₁₀ > 3 (at least moderate evidence for different means). More statistical details for these pairwise tests can be found in Supplementary Table 1. Pilot baseline participants undersampled, compared to the Ideal Observer, though participants in Pilot full did not. The second row shows BIC values, where lower values indicate better model fit. Horizontal lines are shown in the colour corresponding to the point spread of the better-fitting model when BF₁₀ > 3 or in black when BF₀₁ > 3. Further statistical details for these pairwise Bayesian mean difference tests can be found in Supplementary Table 2. Though mean BIC did not favour one leading model in the pilot studies, the third row in the full condition suggests that Biased Prior model best fitted the most participants. Model point spread data colours (See also legend in lower right panel): Cost to Sample (green), Cut Off (orange), Biased Prior (blue). Boxplots reflect first, second (median) and third quartiles, while whiskers reflect 1.5 interquartile range. Point spreads reflect individual participant mean values. Abbreviations: Subj = Models that make choices about subjective values; Obj = Models that makes choices about objective values.