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| BCa Bootstrap (Hiệu chỉnh thiên vị và Tăng tốc)× | Bootstrap Bayes (Rubin)× | Suy luận Bootstrap× | Bootstrap lặp (Double Bootstrap)× | Kiểm định hoán vị (Ngẫu nhiên hóa)× | |
|---|---|---|---|---|---|
| Lĩnh vực | Thống kê | Thống kê | Thống kê | Thống kê | Thống kê |
| Họ | Regression model | Regression model | Regression model | Regression model | Regression model |
| Năm ra đời≠ | 1987 | 1981 | 1979 | 1986 | 2005 |
| Người khởi xướng≠ | Bradley Efron | Rubin (1981); large-sample theory by Lo (1987) | Bradley Efron | Hall (1986); Beran (1987) | Good (2005); Edgington & Onghena (2007); resampling tradition |
| Loại≠ | Resampling confidence interval | Resampling / posterior simulation | Resampling-based inference | Resampling calibration (nested bootstrap) | Nonparametric resampling test |
| Công trình gốc≠ | Efron, B. (1987). Better Bootstrap Confidence Intervals. Journal of the American Statistical Association, 82(397), 171-185. DOI ↗ | Rubin, D. B. (1981). The Bayesian Bootstrap. The Annals of Statistics, 9(1), 130-134. DOI ↗ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. 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 |
| Tên gọi khác≠ | BCa Bootstrap (Bias-Corrected Accelerated), bias-corrected accelerated bootstrap, BCa confidence interval | Bayesian Bootstrap (Rubin), Rubin bootstrap, Dirichlet-weighted bootstrap | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı | iterated bootstrap, nested bootstrap, calibrated bootstrap, Çift Bootstrap (Double / Iterated Bootstrap) | randomization test, exact permutation test, re-randomization test, Permütasyon Testi |
| Liên quan | 5 | 5 | 5 | 5 | 5 |
| Tóm tắt≠ | 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 Bayesian Bootstrap, introduced by Donald B. Rubin in 1981, is a resampling method that produces a Bayesian counterpart to the frequentist bootstrap by assigning each observation a random weight drawn from a Dirichlet distribution. It yields a full posterior distribution for a statistic and allows prior information to be incorporated. | Bootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confidence intervals even in 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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