For the \(t\)-distribution models this is a test that the degrees of freedom is infinitite, or equivalently that it's inverse is zero. For the mixture-normal model it is a test that the proportion of outliers is zero. As both tests involve a parameter on the boundary of the parameter space, asymptotic theory does not apply, so a parametric bootstrap is performed to determine the empirical distribution of the test statistic under the null hypothesis. The observed likelihood ratio statistic is then compared to this distribution to determine the p value.
Usage
# S3 method for metaplus
testOutliers(object, R = 999, cores = max(detectCores()%/%2, 1))
Value
pvalue
p value obtained from parametric bootstrap
observed
Observed value of the likelihood ratio test statistic
sims
Simulated values of the test statistic under the null hypothesis
Arguments
object
The meta-analysis for which the presence of outliers is to be tested.
R
Number of simulations (parametric bootstraps) used in testing the hypothesis. Initially, it may be useful to set this to a smaller value, to allow faster execution time.
cores
Number of cores used to simultaneously perform simulations.