Hierarchical Bayesian inference for concurrent model fitting and comparison for group studies
Fig 11
Performance of the HBI t-test under the null.
A bias parameter was generated under the null (effect size is 0) in two simulations where A) there is only one model in the model-space (scenario 1); or B) there are two models in the model-space (scenario 2). The probability distribution of P-value is obtained by repeating the simulation 2000 times. Note that under the null hypothesis, the resulting P-value is theoretically expected to have a uniform distribution. The error-bars are 95% confidence intervals for the binomial distribution.