方法对比
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| Bonferroni校正× | 独立样本t检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1961 | 1908 |
| 提出者≠ | Carlo Emilio Bonferroni; formalized for multiple comparisons by Olive Jean Dunn | Student (W. S. Gosset) |
| 类型≠ | Family-wise error rate (FWER) correction | Parametric mean comparison |
| 开创性文献≠ | Bonferroni, C. E. (1936). Teoria statistica delle classi e calcolo delle probabilità. Pubblicazioni del R Istituto Superiore di Scienze Economiche e Commerciali di Firenze, 8, 3–62. link ↗ | Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗ |
| 别名≠ | Bonferroni adjustment, Bonferroni method, Bonferroni procedure, FWER correction | student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi |
| 相关≠ | 5 | 4 |
| 摘要≠ | The Bonferroni correction is a conservative, universally applicable method for controlling the family-wise error rate (FWER) when conducting multiple simultaneous hypothesis tests. Grounded in Bonferroni's 1936 probability inequality and formalized for multiple comparisons by Olive Jean Dunn in 1961, the procedure divides the target significance level α by the number of tests m, ensuring that the probability of making even one false rejection across the entire family of tests does not exceed α. | The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances. |
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