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| Kiểm định chính xác Fisher mạnh mẽ× | Kiểm định Chi-bình phương độc lập× | |
|---|---|---|
| Lĩnh vực | Thống kê | Thống kê |
| Họ | Hypothesis test | Hypothesis test |
| Năm ra đời≠ | 1935 (base); mid-p robustification 1961+ | 1900 |
| Người khởi xướng≠ | Fisher (1935); mid-p extension by Lancaster (1961) and others | Karl Pearson |
| Loại≠ | Robust exact conditional test | Nonparametric test of association |
| Công trình gốc≠ | Agresti, A. (2002). Categorical Data Analysis (2nd ed.). Wiley-Interscience. ISBN: 978-0471360933 | 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 ↗ |
| Tên gọi khác | mid-p Fisher's exact test, robust exact test for contingency tables, conditional robust Fisher test, Fisher mid-p test | chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi |
| Liên quan≠ | 3 | 2 |
| Tóm tắt≠ | The robust Fisher's exact test extends Fisher's classic exact test for contingency tables by applying conservative-correcting adjustments — most commonly the mid-p correction — to reduce the extreme conservatism of the standard exact test. This produces better-calibrated Type I error rates while maintaining validity in small and sparse samples. | The chi-square test of independence is a nonparametric hypothesis test that examines whether two categorical variables are associated by comparing observed and expected frequencies in a cross-tabulation. It rests on the chi-square criterion introduced by Karl Pearson in 1900. |
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