方法对比
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| 比例检验的功效分析× | 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 | 1988 | 1988 |
| 提出者≠ | Jacob Cohen | Classical exact test; textbook treatment by Siegel & Castellan |
| 类型≠ | Sample size determination | Exact one-sample test for a proportion |
| 开创性文献≠ | Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. DOI ↗ | Siegel, S. & Castellan, N. J. (1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). McGraw-Hill. ISBN: 978-0070573574 |
| 别名 | proportion power analysis, two-proportion z-test power, z-test for proportions power, Oran Testi Güç Analizi | exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testi |
| 相关≠ | 3 | 2 |
| 摘要≠ | Power analysis for proportion tests is a prospective sample-size planning method used to determine how many participants are needed to detect a meaningful difference between two (or one) proportions with a specified probability. Formalised by Jacob Cohen in his 1988 landmark text, it applies the arcsine transformation to convert proportions into the effect-size index h, enabling direct calculation of the required sample size. | 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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