Table 1.
Mean coverage probability of each of the four pointwise 95% confidence intervals (averaged across s), under each scenario. VI and V2 are Wald-type confidence intervals based on the model-based estimates of the variance V1 and V2, defined in Section 2.4. B-V is a Wald-type confidence interval based on the variance of the bootstrap estimates, and B-Q is constructed from the 2.5% and 97.5% quantiles of the boostrap distribution.
N | Dataset | Opt. Method | β1(s) | β2(s) | β3(s) | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
V1 | V2 | B-V | B-Q | V1 | V2 | B-V | B-Q | V1 | V2 | B-V | B-Q | |||
100 | Full | AIC | 90 | 83 | 100 | 99 | 88 | 82 | 100 | 99 | 76 | 64 | 100 | 99 |
AICC | 87 | 81 | 100 | 98 | 86 | 82 | 100 | 98 | 70 | 58 | 99 | 95 | ||
EPIC | 68 | 63 | 96 | 94 | 82 | 80 | 100 | 96 | 56 | 46 | 93 | 86 | ||
Inomplete | AIC | 63 | 54 | 98 | 98 | 88 | 81 | 100 | 98 | 66 | 41 | 85 | 82 | |
AICC | 60 | 52 | 98 | 98 | 87 | 80 | 100 | 98 | 64 | 40 | 85 | 81 | ||
EPIC | 50 | 44 | 96 | 96 | 84 | 79 | 100 | 97 | 55 | 36 | 82 | 77 | ||
200 | Full | AIC | 95 | 89 | 100 | 98 | 86 | 81 | 100 | 99 | 80 | 68 | 100 | 97 |
AICC | 95 | 88 | 100 | 98 | 86 | 81 | 100 | 98 | 76 | 64 | 99 | 95 | ||
EPIC | 89 | 80 | 97 | 94 | 79 | 76 | 100 | 96 | 61 | 50 | 86 | 82 | ||
Inomplete | AIC | 78 | 65 | 95 | 98 | 86 | 80 | 99 | 98 | 64 | 37 | 73 | 71 | |
AICC | 76 | 64 | 95 | 98 | 85 | 79 | 100 | 98 | 63 | 36 | 72 | 70 | ||
EPIC | 65 | 56 | 91 | 96 | 78 | 75 | 100 | 97 | 53 | 33 | 69 | 67 | ||
500 | Full | AIC | 97 | 91 | 100 | 98 | 88 | 83 | 100 | 99 | 83 | 72 | 99 | 96 |
AICC | 97 | 92 | 100 | 98 | 88 | 82 | 100 | 99 | 82 | 71 | 99 | 95 | ||
EPIC | 95 | 87 | 98 | 94 | 79 | 75 | 99 | 96 | 63 | 51 | 80 | 81 | ||
Inomplete | AIC | 92 | 68 | 93 | 97 | 87 | 79 | 99 | 98 | 66 | 27 | 62 | 63 | |
AICC | 92 | 68 | 93 | 97 | 87 | 79 | 99 | 98 | 66 | 27 | 61 | 63 | ||
EPIC | 88 | 65 | 90 | 96 | 80 | 74 | 98 | 96 | 56 | 25 | 59 | 60 |