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| Kiểm định nhị thức chính xác× | Phân tích Bảng chéo× | Thống kê mô tả× | |
|---|---|---|---|
| Lĩnh vực | Thống kê | Thống kê | Thống kê |
| Họ≠ | Regression model | Hypothesis test | Hypothesis test |
| Năm ra đời≠ | 1988 | 1900 | 1977 |
| Người khởi xướng≠ | Classical exact test; textbook treatment by Siegel & Castellan | Karl Pearson | John W. Tukey |
| Loại≠ | Exact one-sample test for a proportion | Descriptive and inferential categorical analysis | Summary procedure |
| 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 ↗ | Tukey, J.W. (1977). Exploratory Data Analysis. Addison-Wesley. ISBN: 978-0201076165 |
| Tên gọi khác≠ | exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testi | crosstab, contingency table analysis, two-way frequency table, bivariate frequency analysis | summary statistics, exploratory data summary, Betimsel İstatistik |
| Liên quan≠ | 2 | 5 | 6 |
| 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). | 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. | Descriptive statistics is a set of procedures that numerically and visually summarises the essential characteristics of a dataset: central tendency (mean, median, mode), spread (standard deviation, interquartile range), shape (skewness, kurtosis), and frequency distributions. Systematised for applied data analysis by John W. Tukey in his 1977 work on Exploratory Data Analysis, descriptive statistics serves as the indispensable first step before any inferential or modelling procedure. |
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