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| 正確二項検定× | クロス集計分析× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統≠ | Regression model | Hypothesis test |
| 提唱年≠ | 1988 | 1900 |
| 提唱者≠ | Classical exact test; textbook treatment by Siegel & Castellan | Karl Pearson |
| 種類≠ | Exact one-sample test for a proportion | Descriptive and inferential categorical analysis |
| 原典≠ | 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 ↗ |
| 別名 | 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 |
| 関連≠ | 2 | 5 |
| 概要≠ | 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. |
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