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| Sn and Qn Scale Estimators× | Permutationstest (Randomisierungstest)× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 1993 | 2005 |
| Urheber≠ | Rousseeuw & Croux | Good (2005); Edgington & Onghena (2007); resampling tradition |
| Typ≠ | Robust scale estimator | Nonparametric resampling test |
| Wegweisende Quelle≠ | Rousseeuw, P. J., & Croux, C. (1993). Alternatives to the Median Absolute Deviation. Journal of the American Statistical Association, 88(424), 1273-1283. DOI ↗ | Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792 |
| Aliasnamen≠ | Sn estimator, Qn estimator, Rousseeuw-Croux scale estimators, robust scale estimation | randomization test, exact permutation test, re-randomization test, Permütasyon Testi |
| Verwandt | 5 | 5 |
| Zusammenfassung≠ | Sn and Qn are robust estimators of scale (spread) proposed by Rousseeuw and Croux (1993) as alternatives to the median absolute deviation (MAD). Both attain a 50% breakdown point while delivering higher statistical efficiency than MAD, so they measure dispersion accurately even when the data contain outliers. | 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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