Table 5.
Result of 1000 simulations to evaluate the application of inference based on asymptotic theory to finite sample studies. (α0, α1) = (1.2, 0.45). Relative bias = bias / true value × 100%; SSE: sampling standard error; ASE: mean estimated standard error using asymptotic theory; CP: coverage of 95% Wald-confidence intervals using estimated asymptotic error.
| Relative Bias | SSE | ASE | CP | |
|---|---|---|---|---|
| (nD, nD̄) = (100, 100) | ||||
| α0 | 2.4% | 0.163 | 0.151 | 94.8% |
| α1 | 2.2% | 0.085 | 0.083 | 95.4% |
| R(0.2) | 0.4% | 0.039 | 0.039 | 94.6% |
| R(0.4) | 0.3% | 0.032 | 0.031 | 93.4% |
| R(0.7) | 0.1% | 0.025 | 0.023 | 90.8% |
| (nD, nD̄) = (100, 50) | ||||
| α0 | 0.9% | 0.159 | 0.157 | 95.0% |
| α1 | 2.9% | 0.088 | 0.088 | 94.6% |
| R(0.2) | −0.3% | 0.041 | 0.042 | 94.6% |
| R(0.4) | −0.1% | 0.033 | 0.033 | 94.6% |
| R(0.7) | −0.1% | 0.025 | 0.024 | 93.8% |
| (nD, nD̄) = (50, 100) | ||||
| α0 | 1.1% | 0.205 | 0.208 | 96.4% |
| α1 | 0.9% | 0.101 | 0.113 | 97.2% |
| R(0.2) | −0.2% | 0.053 | 0.053 | 93.8% |
| R(0.4) | −0.2% | 0.041 | 0.043 | 94.4% |
| R(0.7) | −0.3% | 0.030 | 0.033 | 94.6% |