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夏皮罗-威尔克正态性检验×独立样本t检验×
领域统计学统计学
方法族Hypothesis testHypothesis test
起源年份19651908
提出者S. S. Shapiro & M. B. WilkStudent (W. S. Gosset)
类型Normality (goodness-of-fit) testParametric mean comparison
开创性文献Shapiro, S. S. & Wilk, M. B. (1965). An analysis of variance test for normality (complete samples). Biometrika, 52(3-4), 591–611. DOI ↗Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗
别名Shapiro-Wilk W test, W test for normality, Shapiro-Wilk normallik testistudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi
相关24
摘要The Shapiro-Wilk test is a hypothesis test that checks whether a continuous variable was drawn from a normal distribution. It was introduced by Samuel Shapiro and Martin Wilk in 1965 and is regarded as one of the most powerful normality tests, recommended for sample sizes below 5000.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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ScholarGate方法对比: Shapiro-Wilk test · Independent t-test. 于 2026-06-19 检索自 https://scholargate.app/zh/compare