Table 2 Estimation of proportion and tests of overdispersion
From: Pooling overdispersed binomial data to estimate event rate
Methods | Estimate | Standard Error | Lower 95% CI | Upper 95% CI |
|---|---|---|---|---|
Simple collapsed binomial | 3.70% | 0.34% | 3.03% | 4.34% |
Beta-Binomial | 3.44% | 0.59% | 2.28% | 4.61% |
Meta-analysis1 | 3.90% | 0.61% | 2.70% | 5.09% |
Test of Overdispersion | ||||
| Â | Estimate | Standard Error | Statistic | p-value |
Alpha | 1.24 | 0.52 | z = 2.40 | 0.02 |
Beta | 34.7 | 15.08 | z = 2.30 | 0.02 |
Theta | 2.78% | 1.20% | z = 2.31 | 0.02 |
Gamma | 2.71% | 1.14% | z = 2.38 | 0.02 |
Likelihood Ratio2 | Â | Â | X1 2 = 129.91 | < 0.001 |
Tarone's Z | Â | Â | z = 7.95 | < 0.001 |