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| Kiểm định nhị thức chính xác× | Kiểm định Chi-bình phương độc lập× | Phân tích lực (Power Analysis) cho ANOVA× | |
|---|---|---|---|
| Lĩnh vực | Thống kê | Thống kê | Thống kê |
| Họ≠ | Regression model | Hypothesis test | Hypothesis test |
| Năm ra đời≠ | 1988 | 1900 | 1988 |
| Người khởi xướng≠ | Classical exact test; textbook treatment by Siegel & Castellan | Karl Pearson | Jacob Cohen |
| Loại≠ | Exact one-sample test for a proportion | Nonparametric test of association | Sample size determination |
| Công trình gốc≠ | Siegel, S. & Castellan, N. J. (1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). McGraw-Hill. ISBN: 978-0070573574 | 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 ↗ | Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. ISBN: 978-0805802832 |
| Tên gọi khác | exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testi | chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi | ANOVA power analysis, F-test power analysis, sample size for ANOVA, Güç Analizi — ANOVA |
| Liên quan≠ | 2 | 2 | 4 |
| Tóm tắt≠ | 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). | 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. | Power analysis for ANOVA is a prospective statistical technique that determines the minimum sample size needed to detect a specified group mean difference with a chosen probability. Formalized by Jacob Cohen in his 1988 monograph, it translates a researcher's effect size expectation — expressed as Cohen's f — along with the desired Type I error rate (alpha) and statistical power (1 − beta) into a concrete per-group sample size recommendation for one-way or factorial ANOVA designs. |
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