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| Kiểm định Chi-bình phương độc lập× | Kiểm định chính xác của Fisher× | Hồi quy Logistic× | |
|---|---|---|---|
| Lĩnh vực≠ | Thống kê | Thống kê | Thống kê nghiên cứu |
| Họ≠ | Hypothesis test | Hypothesis test | Process / pipeline |
| Năm ra đời≠ | 1900 | 1922 | 1958 |
| Người khởi xướng≠ | Karl Pearson | R. A. Fisher | David Roxbee Cox |
| Loại≠ | Nonparametric test of association | Exact test of independence for categorical data | Method |
| Công trình gốc≠ | 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 ↗ | Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗ |
| Tên gọi khác≠ | chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi | Fisher-Irwin test, exact test of independence, Fisher'ın Kesin Testi | logit model, binomial logistic regression, LR |
| Liên quan≠ | 2 | 2 | 3 |
| Tóm tắt≠ | 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. | 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. | Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science. |
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