Methoden vergleichen
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| Bootstrap-Inferenz× | Schätzung der mittleren absoluten Abweichung (MAD)× | Permutationstest (Randomisierungstest)× | |
|---|---|---|---|
| Fachgebiet | Statistik | Statistik | Statistik |
| Familie | Regression model | Regression model | Regression model |
| Entstehungsjahr≠ | 1979 | 1974 | 2005 |
| Urheber≠ | Bradley Efron | Hampel (influence-curve treatment); classical robust statistics | Good (2005); Edgington & Onghena (2007); resampling tradition |
| Typ≠ | Resampling-based inference | Robust scale estimator | Nonparametric resampling test |
| Wegweisende Quelle≠ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ | Hampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗ | Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792 |
| Aliasnamen | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı | median absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahmini | randomization test, exact permutation test, re-randomization test, Permütasyon Testi |
| Verwandt | 5 | 5 | 5 |
| Zusammenfassung≠ | 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. | Median Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result. | 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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