Table 1

Statistical table

Data structureType of testPower/effect sizeStatistic
a: Performance in first-order task (CR+R+ vs CR− R+)Mean per subject (continuous)Bayesian t testd = −0.02BF10 = 0.22
b: Mean perceptual evidence (CR+R+ vs CR−R+)Mean per subject (continuous)Bayesian t testd = 0.36BF10 = 0.54
c: interaction between overt first-order (R+/R−) and continuous report (CR+/CR−) on mean confidence (all trials)Single-trial confidence ratings (continuous)Bayesian mixed-effects linear regressionMean = −0.02 ± 0.01Evidence ratio = 0.10
d: Main effect of CR+ on confidence (all trials)Single-trial confidence ratings (continuous)Bayesian mixed-effects linear regressionMean = 0.04 ± 0.02Evidence ratio = 75.92
e: Main effect of first-order RT on confidence (R+ trials)Single-trial response times (continuous)Bayesian mixed-effects linear regressionMean = −0.15 ± 0.02Evidence ratio > 4000),
f: Interaction between condition (CR+R+/CR+R−) and confidence on proxy accuracySingle-trial accuracy (binomial)Bayesian mixed-effects logistic regressionMean = −0.11 ± 0.39Evidence ratio = 1.57
g: Main effect of confidence on proxy accuracy (CR+ trials)Single-trial confidence ratings (continuous)Bayesian mixed-effects linear regressionMean = 0.82 ± 0.32Evidence ratio = 116.65
h: M-ratio between conditions (CR+R+ vs CR+R−)Posterior probability distributions (continuous)Differences between Highest density intervalsHDI = [−1.42, 0.89]NA
  • NA, Not applicable.