Nancy L. Paul
We find lower bounds on the coverage of confidence intervals. If no publication bias is present, results are robust even when considered over the entire -contamination class. However, if publication bias is present, then the coverage provided by the usual interval estimator is not robust. In this case, an alternative interval estimator is suggested. We also illustrate how both upper and lower bounds on posterior quantities of interest may be found for the case in which prior information is available.
Keywords: Weight functions; Selection bias; Meta-analysis.