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| クロス集計分析× | フィッシャーの正確確率検定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1900 | 1922 |
| 提唱者≠ | Karl Pearson | R. A. Fisher |
| 種類≠ | Descriptive and inferential categorical analysis | Exact test of independence for categorical data |
| 原典≠ | 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 ↗ |
| 別名≠ | crosstab, contingency table analysis, two-way frequency table, bivariate frequency analysis | Fisher-Irwin test, exact test of independence, Fisher'ın Kesin Testi |
| 関連≠ | 5 | 2 |
| 概要≠ | 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. | 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. |
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