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| Robuster Einstichproben-t-Test (getrimmter Mittelwert)× | Vorzeichentest× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Hypothesis test | Hypothesis test |
| Entstehungsjahr≠ | 1970s–2000s | 1946 |
| Urheber≠ | Rand R. Wilcox (extending Yuen's trimmed-mean approach) | W. J. Dixon & A. M. Mood |
| Typ≠ | Robust parametric mean comparison | Nonparametric median test |
| Wegweisende Quelle≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Dixon, W. J. & Mood, A. M. (1946). The statistical sign test. Journal of the American Statistical Association, 41(236), 557–566. DOI ↗ |
| Aliasnamen≠ | one-sample trimmed mean test, Yuen one-sample test, robust one-sample location test, trimmed mean t-test | İşaret Testi (Sign Test), one-sample sign test, paired sign test |
| Verwandt | 4 | 4 |
| Zusammenfassung≠ | The robust one-sample t-test replaces the ordinary mean with a trimmed mean and the sample variance with a Winsorized variance to compare a population location against a hypothesized value. It retains the t-test decision framework while sharply reducing sensitivity to outliers and heavy-tailed distributions, making it reliable in real-world continuous data that deviate from normality. | The sign test is the simplest nonparametric hypothesis test for deciding whether the median of paired differences — or of a single sample — differs significantly from a hypothesised value. Formalised by W. J. Dixon and A. M. Mood in 1946, it imposes virtually no distributional assumptions and can be applied to any data where individual differences can be classified as positive or negative. |
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