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| 双比例z检验× | 精确二项检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族≠ | Hypothesis test | Regression model |
| 起源年份≠ | 1900 | 1988 |
| 提出者≠ | Karl Pearson / classical large-sample z approximation | Classical exact test; textbook treatment by Siegel & Castellan |
| 类型≠ | Parametric proportion comparison | Exact one-sample test for a proportion |
| 开创性文献≠ | Fleiss, J. L., Levin, B., & Paik, M. C. (2003). Statistical Methods for Rates and Proportions (3rd ed.). Wiley. DOI ↗ | Siegel, S. & Castellan, N. J. (1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). McGraw-Hill. ISBN: 978-0070573574 |
| 别名 | z-test for proportions, two-sample proportion test, one-proportion z-test, Oran Testi — z Testi (Oranlar) | exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testi |
| 相关≠ | 4 | 2 |
| 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 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). |
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