Bayesian sample size estimation for given HPD

[junpenglao]

@dovgalec

The actual goal, after discussing with a colleague, is to estimate the smallest dataset size at which the 95% HDI width of the estimate is certain value, say, 0.2. A sample of data (a vector of 1s and 0s) is given and can be used to “bootstrap” the model.

I would say simulated a few data point (eg fit 10, 100, 1000 data points etc and get the width of 95%HDI), and fit a linear or log-linear model.