#StackBounty: #r #regression #binomial #overdispersion #beta-binomial How do I use Tarone's Z-statistic?

Bounty: 50

Context

In this blog the author suggests using Tarone’s Z-statistic to test for overdispersion in a binomial model to determine whether or not it is necessary to use a beta-binomial model instead. In their example they generate some synthetic data from binomial and beta-binomial distributions and then calculate the Z-statistic’s for each and plot them, along with a theoretical curve of the null distribution to demonstrate that this metric works.

Question

How do I actually calculate/use this to test for overdispersion? I found the author code difficult to follow and I don’t quite understand how I could use this to formally test for over-dispersion.

I have searched around but all I can turn up about Tarone’s Z-statistic are the two links I have included.

I am working in R using the lme4 and glmmTMB packages and I would greatly appreciate an answer in this form. I know this question kind of straddles the bounds of CV and stackoverflow, but I considered this a “non-trivial problem” – If the community disagrees I am happy to migrate it!


Get this bounty!!!

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.