Appendix 2—table 1. Power analysis for Experiment 1.

The results of the model comparison analysis using simulated data. Roman numerals refer to a given model, as defined by the mapping between the ideal observer estimates and decision parameters in the first two columns. The column labeled DIC gives the raw DIC score, $\mathrm{\Delta }{\text{DIC}}_{null}$ lists the change in model fit from an intercept-only model (the null-adjusted fit), and $\mathrm{\Delta }{\text{DIC}}_{best}$ provides the change in null-adjusted model fit from the best-fitting model. The last row represents the null, intercept-only regression model. The best performing model is denoted by an asterisk.

	$B$	$\mathrm{\Omega }$	DIC	$\mathrm{\Delta }{\text{DIC}}_{\text{null}}$	$\mathrm{\Delta }{\text{DIC}}_{\text{best}}$
I*	$v$	$a$	–101886.4	–15477.5	0.0
II	$a$	$v$	–87486.7	–1077.8	14399.7
III	–	$v$	–87373.9	–965.0	14512.5
IV	$v$	–	–97634.70	–11225.8	4251.70
V	–	$a$	–90577.3	–4168.40	11309.00
VI	$a$	–	–86525.7	–116.70	15360.7
VII	–	–	–86408.9	0.0	15477.5