8.4 Posterior prediction
What number would you predict are done by artists that are Gen X or younger?
Predict the outcome of new data \(Y'\)
- Sampling variability in the data
- Posterior variability in \(\pi\)
Generally, greater \(\pi\) is, the greater \(Y'\) tends to be.
\[f(y'|y)= \int{f(y'|\pi)f(\pi|y)d\pi}\]