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S Jul 1, 2021 at 21:55 history bounty ended Björn
S Jul 1, 2021 at 21:55 history notice removed Björn
Jul 1, 2021 at 13:37 answer added EdM timeline score: 4
Jun 25, 2021 at 18:00 history tweeted twitter.com/StackStats/status/1408485170546724864
S Jun 24, 2021 at 7:12 history bounty started Björn
S Jun 24, 2021 at 7:12 history notice added Björn Draw attention
Jun 23, 2021 at 14:49 comment added Frank Harrell Richard McElreath's amazing book Statistical Rethinking has a lot of good wisdom about what to do with mixed effects models once you've estimated the parameters. The book is all Bayesian but may give you some frequentist ideas too.
Jun 22, 2021 at 12:55 comment added Björn Thanks, @FrankHarrell. I implemented a Bayesian option, seems to work well (now added to question). But, for the Bayesian approach I wonder: would you simulate a new population (random effects drawn based on MCMC samples for the hierarchical scale parameter and covariates distribution using the observed values) or - as I did - use the MCMC samples for fitted random effects (=these patients)?! Is that just philosophical, or is the 1st more dependent on assumptions & 2nd less so (of course still applies shrinkage per normal random effect)? Also still interested how to bootstrap properly.
Jun 22, 2021 at 12:47 history edited Björn CC BY-SA 4.0
Added Bayesian option as suggested by Frank
Jun 22, 2021 at 12:28 comment added Frank Harrell BTW logit and inverse logit are built into R and your inverse logit is a terrible implementation. Use plogis and qlogis. But on the bigger picture you are moving towards cruder approximations when you go to the cluster bootstrap. Better would be to use a Bayesian random effects model and get exact inference on any quantity of interest.
Jun 22, 2021 at 12:22 history edited Björn CC BY-SA 4.0
Adding parametric bootstrap results
Jun 22, 2021 at 11:03 history edited Björn CC BY-SA 4.0
added simulated example data and code for bootstrapping records
Jun 21, 2021 at 23:53 history asked Björn CC BY-SA 4.0