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| 精确二项检验× | 双比例z检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族≠ | Regression model | Hypothesis test |
| 起源年份≠ | 1988 | 1900 |
| 提出者≠ | Classical exact test; textbook treatment by Siegel & Castellan | Karl Pearson / classical large-sample z approximation |
| 类型≠ | Exact one-sample test for a proportion | Parametric proportion comparison |
| 开创性文献≠ | Siegel, S. & Castellan, N. J. (1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). McGraw-Hill. ISBN: 978-0070573574 | Fleiss, J. L., Levin, B., & Paik, M. C. (2003). Statistical Methods for Rates and Proportions (3rd ed.). Wiley. DOI ↗ |
| 别名 | exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testi | z-test for proportions, two-sample proportion test, one-proportion z-test, Oran Testi — z Testi (Oranlar) |
| 相关≠ | 2 | 4 |
| 摘要≠ | The exact binomial test checks whether the observed number of successes in a fixed number of independent trials is consistent with a pre-specified success probability p₀. Because it computes exact binomial tail probabilities rather than relying on a normal approximation, it is the gold standard for testing a proportion in small samples; this two-sided formulation follows Siegel & Castellan's classic treatment (1988). | 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. |
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