Chapter 7 Exercises
Asthma with treatment effect
In Example 7.2.3 (asthma with treatment effect), repeat the analysis with alternative prior distributions. For the baseline (treatment 0) log odds, use standard logistic priors, which correspond to uniform priors on the scale of probabilities. Also suppose we are 95\% certain that the odds ratio is less than 5, and derive the corresponding normal prior distribution, centred around zero, for the log odds ratio. How are the posterior distributions of the odds ratio and the treatment 0 transition probabilities, affected?