方法对比
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| 双比例z检验× | 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≠ | 1900 | 1908 |
| 提出者≠ | Karl Pearson / classical large-sample z approximation | Student (W. S. Gosset) |
| 类型≠ | Parametric proportion comparison | Parametric mean comparison |
| 开创性文献≠ | Fleiss, J. L., Levin, B., & Paik, M. C. (2003). Statistical Methods for Rates and Proportions (3rd ed.). Wiley. DOI ↗ | Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗ |
| 别名 | z-test for proportions, two-sample proportion test, one-proportion z-test, Oran Testi — z Testi (Oranlar) | student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi |
| 相关 | 4 | 4 |
| 摘要≠ | The proportion test (z-test for proportions) is a parametric hypothesis test that compares one or two sample proportions against a reference value or each other. Grounded in the large-sample normal approximation formalized by Fleiss, Levin, and Paik (2003), it is the standard tool for binary outcome comparisons when samples are large enough for the central limit theorem to apply. | 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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