Box 2.
Frequentist approach | Bayesian approach |
---|---|
Inferences based on all possible data generated by the experiment, but all possible data not actually observed | Dependent upon data observed in the current experiment |
Parameters fixed, but true parameter unknown | Parameters represented by probability distribution |
Point estimates include maximum likelihood or least squares estimates | Point estimates include summary statistics of the posterior distribution (e.g. mean, median, and mode) |
p-value represents probability of observing the same results, or more extreme results in the sample, if the null hypothesis is true in the population from which the sample is drawn | Posterior probability represents the probability of the null hypothesis |
X% confidence interval represents an interval that would contain the true parameter value in X% of repeated samples | X% credible interval represents an interval that contains the true parameter value with X% probability |
Safety and Efficacy of Teriflunomide vs Placebo in Paediatric Multiple Sclerosis (TERIKIDS) Study | |
Outcome: time to first relapse Frequentist approach (as published): |
Bayesian approach: incorporate information from pooled effects of the TEMSO and TOWER trials in adults (HR = 0.68; 95%CI = 0.58–0.79) |
HR = 0.66; 95% CI = 0.39–1.11 |
HR = 0.67; 95% CI = 0.51–0.87 |