方法对比
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| 交叉分类分析× | 费舍尔精确检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1900 | 1922 |
| 提出者≠ | Karl Pearson | R. A. Fisher |
| 类型≠ | Descriptive and inferential categorical analysis | Exact test of independence for categorical data |
| 开创性文献≠ | Pearson, K. (1900). On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophical Magazine, 50(302), 157–175. DOI ↗ | Fisher, R. A. (1922). On the interpretation of chi-squared from contingency tables, and the calculation of P. Journal of the Royal Statistical Society, 85(1), 87–94. DOI ↗ |
| 别名≠ | crosstab, contingency table analysis, two-way frequency table, bivariate frequency analysis | Fisher-Irwin test, exact test of independence, Fisher'ın Kesin Testi |
| 相关≠ | 5 | 2 |
| 摘要≠ | Cross-tabulation analysis (contingency table analysis) is a foundational descriptive and inferential technique for examining the relationship between two or more categorical variables. It arranges observed frequencies into a table of rows and columns, enabling visual inspection of patterns and formal chi-square testing of independence between the variables. | Fisher's exact test is a nonparametric exact-probability test of independence for small-sample contingency tables, introduced by R. A. Fisher in 1922. Rather than relying on a large-sample approximation, it computes the exact probability of the observed table directly from the hypergeometric distribution. |
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