Table 1.
Bias and coverage probability (median length) of 95% two-sided confidence intervals for the ACER - simulation study for scenario 1
| Censoring | Light censoring | Heavy censoring | |||
|---|---|---|---|---|---|
| Sample size | Survival time | Uniform | Exponential | Uniform | Exponential |
| 100 | ACER-naive | −356 | −383 | −572 | −632 |
|
| |||||
| ACER (simple-weighted) | 6 | 7 | 15 | 4 | |
| Fieller-normal | 92.3% (316) | 94.6% (359) | 90.8% (366) | 92.0% (441) | |
| Taylor-normal | 91.7% (313) | 93.6% (353) | 89.6% (361) | 90.7% (433) | |
| Bootstrap-percentile | 91.8% (314) | 93.9% (354) | 92.3% (389) | 92.7% (497) | |
| Bootstrap-normal | 92.2% (318) | 93.8% (357) | 93.3% (393) | 94.0% (503) | |
|
| |||||
| ACER (improved) | 6 | 7 | 13 | 4 | |
| Fieller-normal | 92.8% (305) | 94.2% (343) | 92.4% (339) | 94.4% (409) | |
| Taylor-normal | 91.7% (302) | 93.6% (337) | 89.6% (334) | 90.4% (402) | |
| Bootstrap-percentile | 92.5% (300) | 93.5% (337) | 92.2% (353) | 94.4% (448) | |
| Bootstrap-normal | 92.0% (305) | 93.4% (340) | 93.0% (357) | 94.3% (457) | |
|
| |||||
| 200 | ACER-naive | −361 | −383 | −589 | −638 |
|
| |||||
| ACER (simple-weighted) | 2 | 6 | 7 | 11 | |
| Fieller-normal | 92.7% (236) | 94.2% (265) | 93.1% (276) | 94.1% (329) | |
| Taylor-normal | 92.2% (235) | 94.0% (263) | 92.6% (274) | 93.3% (326) | |
| Bootstrap-percentile | 92.5% (231) | 93.0% (263) | 93.5% (283) | 93.4% (335) | |
| Bootstrap-normal | 92.2% (233) | 93.8% (264) | 93.4% (285) | 94.1% (339) | |
|
| |||||
| ACER (improved) | 2 | 6 | 5 | 9 | |
| Fieller-normal | 92.8% (226) | 94.6% (254) | 93.2% (253) | 94.4% (293) | |
| Taylor-normal | 92.2% (225) | 94.0% (252) | 92.6% (252) | 93.3% (290) | |
| Bootstrap-percentile | 91.9% (223) | 93.3% (251) | 92.8% (254) | 93.5% (290) | |
| Bootstrap-normal | 91.8% (225) | 93.7% (253) | 92.5% (256) | 93.7% (297) | |
Naive denotes the estimator that does not account for censoring in cost. Bias is the absolute bias in the point estimate. For bootstrap methods, B=1000 replicates were generated. 1000 simulations were used.