Hierarchical model in complex models (nonlinear or nonparameteric or implicit)

[hyunjimoon]

1. With the help of this code, SBC-test spline model
2. With the established process, compare two hierarchical models - gaussian process and spline model
3. Give example recommendations on calibration

[hyunjimoon]

SBC could provide more values for ODE systems, compared to models with explicit densities. Although literature which applied SBC on ODE models is scarce, the following may be a good place to start.

• poster introducing Michaelis Menten population model (i.e. hierarchical)
• part2 of the tutorial on ODE models part 1 which suggests applying SBC to ODE model as part 2 preview
• stan discourse on hierarchical ODE model, also known as monster model