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| Robust ensample t-test (trimmet gennemsnit)× | One-sample t-test× | |
|---|---|---|
| Fagområde | Statistik | Statistik |
| Familie | Hypothesis test | Hypothesis test |
| Oprindelsesår≠ | 1970s–2000s | 1908 |
| Ophavsperson≠ | Rand R. Wilcox (extending Yuen's trimmed-mean approach) | Student (W. S. Gosset) |
| Type≠ | Robust parametric mean comparison | Parametric mean comparison |
| Oprindelig kilde≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗ |
| Aliasser | one-sample trimmed mean test, Yuen one-sample test, robust one-sample location test, trimmed mean t-test | single-sample t-test, one-group t-test, one-sample t, Student one-sample t-test |
| Relaterede≠ | 4 | 3 |
| Resumé≠ | 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 one-sample t-test is a parametric hypothesis test that determines whether the mean of a single sample differs significantly from a known or hypothesized population value. Derived from Student's (Gosset's) 1908 t-distribution, it assumes continuous, approximately normally distributed data and is one of the most fundamental tests in applied statistics. |
| ScholarGateDatasæt ↗ |
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