Fig. 4
From: Human-alignment influences the utility of AI-assisted decision making
Results for groups 
, 
and 
. a) Results of Bayes A/B test when initial match \(Q =0\) for groups 
, 
and 
: The plot shows the Bayes posterior of conditional matching rate \(\theta _0\) for all three groups. The table shows the estimated difference in \(\theta _0\), the estimation error, the evidence ratio (Bayes factor) and the posterior probability for the hypothesis stating that \(\theta _0\) is larger in Group 
(or Group 
) than in Group 
. b) Results of Bayes A/B test when initial match \(Q =1\) for groups 
, 
and 
: The plot shows the Bayes posterior of conditional matching rate \(\theta _1\) for all three groups. The table shows the estimated difference in \(\theta _1\), the estimation error, the evidence ratio (Bayes factor) and the posterior probability for the hypothesis stating that \(\theta _1\) is larger in Group 
(or Group 
) than in Group 
. c) Empirical matching rate of participants with the optimal guess stratified by initial matching rate and whether the initial guess agrees with the AI confidence.
