Non-nested model: continuing the Olympic ratings example from Exercise 11.3: (a) Write the notation for a non-nested multilevel model (varying across skaters and judges) for the technical merit...

Non-nested model: continuing the Olympic ratings example from Exercise 11.3:

(a) Write the notation for a non-nested multilevel model (varying across skaters and judges) for the technical merit ratings and fit using lmer().

(b) Fit the model in (a) using the artistic impression ratings.

(c) Display your results for both outcomes graphically.

(d) Use posterior predictive checks to investigate model fit in (a) and (b).