Fig. 2

Scatter plots of (A) α-spending monitoring boundary versus estimated between-study variance (\(\widehat{\tau }\) 2) and (B) observed cumulative z-score versus estimated between-study variance (\(\widehat{\tau }\) 2), for smaller meta-analysis without significant heterogeneity, smaller meta-analysis with significant heterogeneity, larger meta-analysis without significant heterogeneity, and larger meta-analysis with significant heterogeneity. DL, DerSimonian-Laird estimator; HS, Hunter-Schmidt estimator; ML, Maximum-likelihood estimator; PM, Paule-Mandel estimator; REML, Restricted maximum-likelihood estimator; SJ, Sidik-Jonkman estimator