Wild bootstrap for inference on clustered data

[Sanford-Lab]

Hi all,
Looking to conduct inference where we have a small number of large clusters and want to get valid confidence intervals. I know of implementations of (multiplier) bootstrap methods for simultaneous inference and the cluster-robust inference that has been implemented, wondering if those two pieces play well together to get bootstrap CIs for clustered data.
Thanks!

[PhilippBach]

Hi @Sanford-Lab ,

thanks for your excellent question! I am not 100% sure about the interaction of the multiplier bootstrap with clustered data. As of now, we haven't implemented a bootstrap method that takes the clustering of the data into account... see

doubleml-for-r/R/double_ml.R

Line 449 in ba452ab

stop("bootstrap not yet implemented with clustering.")

; but I see that this is a relevant point, so I think we can add it as a new feature request. Before we'd implement it, we'd also have to check the literature on any papers covering this topic.
In case you make some progress in that regard, please post any resource below here. And of course, you are cordially invited to add your changes to the DoubleML repo, please have a look at our contributing guide

Thanks again and all the best!