Exact Confidence Intervals for Random Effects Meta-Analyses

Compute an exact CI for the population mean under a random effects model. The routines implement the algorithm described in Michael, Thronton, Xie, and Tian (2017) < https://haben-michael.github.io/research/Exact_Inference_Meta.pdf>.

The function "rma.exact" aomputes an exact (up to monte carlo error), unconditional, non-randomized CI for the grand mean in a random effects meta-analysis assuming a normal-normal model for the primary study observations. This function implements the algorithm described in:

Michael, Thornton, Xie, and Tian (2017). Exact Inference on the Random Effects Model for Meta-Analyses with Few Studies. (Submitted.)


Given K primary studies, suppose "yi" contains the reported effect estimates and "vi" their variances. Synthetic data is given below. An estimate of the grand mean is obtained as follows:

K <- 5 c0 <- 1 mu0 <- 0 tau2 <- 12.5 vi <- (seq(1, 5, length=K))^2 yi <- rnorm(K)*sqrt(vi+tau2)+mu0 rma.exact(yi=yi,vi=vi)



rma.exact 0.1.0

  • Added a NEWS.md file to track changes to the package.

Reference manual

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0.1.0 by Haben Michael, 3 years ago

Browse source code at https://github.com/cran/rma.exact

Authors: Haben Michael [aut, cre] , Lu Tian [aut]

Documentation:   PDF Manual  

Task views: Meta-Analysis

GPL-3 license

Imports metafor, abind, stats, graphics, grDevices

See at CRAN