Table 1.
Example 1. Confidence intervals and the corresponding coverage based on the empirical likelihood (EL) and normal approximation (Norm) methods
| Sample size | CI(95%) | coverage | |||||
|---|---|---|---|---|---|---|---|
| n | m | cx | cy | EL | Norm | EL | Norm |
| 30 | 30 | 12.5 | 15 | (−2.686, −1.311) | (−3.153, −0.847) | 94.46 | 97.39 |
| 20 | (−2.682, −1.311) | (−3.354, −0.646) | 94.13 | 98.60 | |||
| 15 | 15 | (−2.652, −1.313) | (−3.106, −0.894) | 94.66 | 97.72 | ||
| 20 | (−2.688, −1.347) | (−3.399, −0.601) | 95.28 | 98.15 | |||
| 50 | 50 | 12.5 | 15 | (−2.531, −1.457) | (−2.753, −1.247) | 95.02 | 97.84 |
| 20 | (−2.534, −1.46) | (−2.904, −1.096) | 95.68 | 98.54 | |||
| 15 | 15 | (−2.522, −1.469) | (−2.751, −1.249) | 95.07 | 97.53 | ||
| 20 | (−2.530, −1.477) | (−2.926, −1.074) | 94.9 | 98.34 | |||
| 100 | 100 | 12.5 | 15 | (−2.386, −1.619) | (−2.442, −1.558) | 94.35 | 96.60 |
| 20 | (−2.379, −1.613) | (−2.519, −1.481) | 93.78 | 97.64 | |||
| 15 | 15 | (−2.374, −1.625) | (−2.433, −1.567) | 94.45 | 97.35 | ||
| 20 | (−2.369, −1.619) | (−2.498, −1.502) | 94.98 | 97.69 | |||
CI(95%), approximate 95% confidence interval.