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| Median Absolut Afvigelse (MAD) Estimering× | Robust ANOVA (Welch & Trimmed Mean)× | |
|---|---|---|
| Fagområde | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Oprindelsesår≠ | 1974 | 1951 |
| Ophavsperson≠ | Hampel (influence-curve treatment); classical robust statistics | Welch (1951); robust trimmed-mean approach popularised by Wilcox |
| Type≠ | Robust scale estimator | Robust one-way analysis of variance |
| Oprindelig kilde≠ | Hampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗ | Welch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗ |
| Aliasser≠ | median absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahmini | Welch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean) |
| Relaterede | 5 | 5 |
| Resumé≠ | 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. | Robust ANOVA compares the central tendency of three or more groups when the classical assumptions of normality and equal variances fail. It combines Welch's heteroscedasticity-adjusted statistic, introduced by Welch in 1951, with trimmed-mean tests advanced by Wilcox, giving reliable comparisons in the presence of outliers and unequal group spreads. |
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