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. Author manuscript; available in PMC: 2010 Feb 22.
Published in final edited form as: Biometrika. 2005 Jun 1;92(2):271–282. doi: 10.1093/biomet/92.2.271

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.