Сравнение на методи
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| BCa Bootstrap (Коригиран спрямо отклонението и ускорението)× | Двоен (итериран) бутстрап× | Тест с пермутации (рандомизация)× | |
|---|---|---|---|
| Област | Статистика | Статистика | Статистика |
| Семейство | Regression model | Regression model | Regression model |
| Година на възникване≠ | 1987 | 1986 | 2005 |
| Създател≠ | Bradley Efron | Hall (1986); Beran (1987) | Good (2005); Edgington & Onghena (2007); resampling tradition |
| Тип≠ | Resampling confidence interval | Resampling calibration (nested bootstrap) | Nonparametric resampling test |
| Основополагащ източник≠ | Efron, B. (1987). Better Bootstrap Confidence Intervals. Journal of the American Statistical Association, 82(397), 171-185. DOI ↗ | Hall, P. (1986). On the Bootstrap and Confidence Intervals. Annals of Statistics, 14(4), 1431-1452. DOI ↗ | Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792 |
| Други названия≠ | BCa Bootstrap (Bias-Corrected Accelerated), bias-corrected accelerated bootstrap, BCa confidence interval | iterated bootstrap, nested bootstrap, calibrated bootstrap, Çift Bootstrap (Double / Iterated Bootstrap) | randomization test, exact permutation test, re-randomization test, Permütasyon Testi |
| Свързани | 5 | 5 | 5 |
| Резюме≠ | The BCa bootstrap is a resampling method, introduced by Bradley Efron in 1987, that produces more accurate confidence intervals than the plain percentile bootstrap by applying a bias correction and an acceleration adjustment. It is recommended for skewed distributions and small samples. | The double bootstrap is a resampling method that calibrates a bootstrap confidence interval with a second, nested layer of bootstrap to bring its actual coverage closer to the nominal level. Introduced by Hall (1986) and Beran (1987), it is especially valuable for small samples and skewed distributions where a single-layer bootstrap under-covers. | The permutation test is a nonparametric resampling procedure that builds the sampling distribution of a test statistic directly from the data by repeatedly shuffling the group labels. Developed in the resampling tradition and treated systematically by Good (2005) and Edgington & Onghena (2007), it requires no parametric distributional assumption and yields an exact p-value. |
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