From: Bivariate random-effects meta-analysis and the estimation of between-study correlation
Meta-analysis model | n | No. of the 1000 simulations that converged | Bias of mean 1 | Mean s.e. of 1 | MSE of 1 | Coverage of the 95% CIs for 1 | Bias of mean 2 | Mean s.e. of 2 | MSE of 2 | Coverage of the 95% CIs for 2 | Bias of mean (no. of = 0) | Bias of mean (no. of = 0) | Bias of mean B | % of B = -1 | % of B = 1 |
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Complete data – we set 25 true positives and 25 true negatives in each study, with the pooled logit-sensitivity and pooled logit-specificity set at 1.386 (i.e. a sensitivity and specificity of 0.8). The between-study correlation was set as -0.8, and the between-study variation was set as 1 for both sensitivity and specificity. Simulations were performed as in Chu and Cole [12]. | |||||||||||||||
Normal URMA | 10 | 995 | -0.152 | 0.311 | 0.120 | 93.1% | -0.174 | 0.310 | 0.119 | 93.2% | -0.313 (17) | -0.309 (5) | - | - | - |
Normal BRMA | 10 | 995 | -0.124 | 0.318 | 0.118 | 93.8% | -0.144 | 0.317 | 0.115 | 94.5% | -0.245 (7) | -0.245 (2) | 0.067 | 53.7% | 0% |
Generalised URMA | 10 | 1000 | -0.013 | 0.330 | 0.124 | 93.8% | -0.037 | 0.328 | 0.116 | 94.0% | -0.186 (20) | -0.189 (21) | - | - | - |
Generalised URMA | 10 | 603* | -0.012 | 0.339 | 0.119 | 94.9% | -0.030 | 0.342 | 0.118 | 95.8% | -0.136 (0) | -0.114 (0) | - | - | - |
Generalised BRMA | 10 | 603 | -0.009 | 0.339 | 0.119 | 95.4% | -0.029 | 0.341 | 0.116 | 96.2% | -0.134 (0) | -0.113 (0) | -0.084 | 0% | 0% |
Normal URMA | 50 | 1000 | -0.175 | 0.141 | 0.049 | 77.2% | -0.182 | 0.141 | 0.050 | 75.5% | -0.337 (0) | -0.335 (0) | - | - | - |
Normal BRMA | 50 | 1000 | -0.151 | 0.142 | 0.042 | 81.4% | -0.157 | 0.143 | 0.043 | 81.3% | -0.285 (0) | -0.282 (0) | 0.087 | 17.0% | 0% |
Generalised URMA | 50 | 1000 | -0.018 | 0.157 | 0.024 | 95.1% | -0.026 | 0.157 | 0.023 | 96.1% | -0.091 (0) | -0.084 (0) | - | - | - |
Generalised URMA | 50 | 973* | -0.019 | 0.157 | 0.024 | 95.1% | -0.022 | 0.157 | 0.023 | 96.1% | -0.087 (0) | -0.080 (0) | - | - | - |
Generalised BRMA | 50 | 973 | -0.016 | 0.157 | 0.024 | 96.0% | -0.020 | 0.158 | 0.023 | 96.2% | -0.078 (0) | -0.071 (0) | 0.019 | 0% | 0% |