[R-meta] meta-analysis with proportion data and nested random terms

[Jens Joschinski]

Hello everyone,
I have posted a question 2 weeks ago about suitable R packages for a meta-analysis of beta-distributed data. Before conducting a full-blown Bayesian analysis (with which I have no experience) I would like to ask once again if someone knows an easier solution, or would know where else to ask. 

Thanks for any help!
Jens Joschinski 
________________________________________
Von: R-sig-meta-analysis <r-sig-meta-analysis-bounces using r-project.org> im Auftrag von Jens Joschinski <Jens.Joschinski using UGent.be>
Gesendet: Montag, 6. Mai 2019 14:46
An: r-sig-meta-analysis using r-project.org
Betreff: [R-meta] meta-analysis with proportion data and nested random terms

Hi all,

I ran into some problems with a meta-analysis, and would really appreciate some help. I have posted a question on CrossValidated (https://stats.stackexchange.com/questions/405178/r-package-for-meta-analysis-of-beta-distributed-data), but received so far no reply and was advised to ask in this mailing list for help.

In short, I have searched for studies that measure insect diapause under multiple day lengths and extracted the raw data. This data takes a logit-form and is bounded between 0 and 100%. Depending on the study, there were 4-21 data points per curve available (mean 7), so the data is quite sparse. I used an MCMC approach to fit a logit-curve through this data, and report some properties of these curves along with a credible interval. In a second step these reaction norm properties are then correlated with climate data, for example, I correlated the inflection point of the curves with latitude of origin (https://stats.stackexchange.com/questions/402631/use-of-nested-random-terms-in-meta-analysis-with-a-moderator). One of the properties is, however, a proportion (proportion of variance within environments : variance among environments), and I do not know how to analyse it proper
 ly. Using the glmmTMB function with a beta family does not work when the dispersion parameter is set to 0, and metafor does (to my knowledge) not support beta-distributed data. Does anyone know a meta-analysis package that can model beta distributed data, or is there an alternative approach for my data?


Kind regards

Jens Joschinski




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