Going to/from mixed model formulas and Hasse diagrams

[alexpghayes]

One nice way to visualize mixed models is through a Hasse diagram, as in chapter 12 of this book. We should make a tool to make these visuals easy in R, especially the notation specific to mixed effects models. It would interesting to be able to from a lme4 / brms / rstanarm model (or just the formula) to a Hasse diagram, and from a Hasse diagram to a model formula.

I wonder if this could lead to visualizations of the decomposition of variance in a multilevel model as at https://mgb-research.netlify.com/post/visualizing-variance-in-multilevel-models-using-the-riverplot-package/.

[alexpghayes]

Example of Hasse diagrams

Possible visualize decomposition of variance

Would also be interesting to visually differentiate flows in some way to distinguish between fixed and random effects

[alexpghayes]

We'd probably want to start with the balanced case and then extend to the unbalanced case.

[IndrajeetPatil]

This might be easy to achieve using the riverplot package. Not sure if there is a related cousin in the ggplot framework.

[wlandau]

I have enjoyed networkD3::sankeyNetwork() for Sankey diagrams. Maybe tidygraph could help bridge the gap if we want an appealing API?

[tjmahr]

The Hasse diagram is inscrutable, but the decomposition rivers are nice. Can we leverage D3 and r2d3 at all?

[wlandau]

What about the latest release of ggforce? Could geom_parallel_sets() help? Maybe ggalluvial?

[benlistyg]

I (kinda) did a blog post on this based on a paper by Rouder et al.

http://rpubs.com/blistyg/networksofmodels