Fig. 18

Simulation study. Empirical coverage probability of 95% confidence intervals of \(\pi\). Simulated data generated from binomial distribution with 1.\(\pi = 0.2\), \(J = 5, 10, 20, 30\) and \(\tau ^2 = [\frac{1}{37.5}, \frac{1}{50}, \frac{1}{75}, \frac{1}{150}]\) in the top panels, 2. \(\pi = 0.5\), \(J = 5, 10, 20, 30\) and \(\tau ^2 = [\frac{1}{12}, \frac{1}{16}, \frac{1}{24}, \frac{1}{48}]\) in the middle panels, and 3. \(\pi = 0.9\) and \(\tau ^2 = [\frac{1}{123}, \frac{1}{164}, \frac{1}{246}, \frac{1}{492}]\) in the bottom panels. The number of studies \(J = 5, 10, 20, 30\). Light grey line at 95%