The ANOVA <italic>F</italic>-test, James tests and generalized <italic>F</italic>-test are extended to test hypotheses on the between-study variance for values greater than zero. Using simulations, we compare the performance of extended test procedures with respect to the actual attained type I error rate. Examples are provided...

We distinguish between three types of outliers in a one-way random effects model. These are formally described in terms of their position relative to the main part of the observations. We propose simple rules for identifying such outliers and give an example which involves median-based statistics.