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| クロス集計分析× | 独立性カイ二乗検定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年 | 1900 | 1900 |
| 提唱者 | Karl Pearson | Karl Pearson |
| 種類≠ | Descriptive and inferential categorical analysis | Nonparametric test of association |
| 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 ↗ | 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 | crosstab, contingency table analysis, two-way frequency table, bivariate frequency analysis | chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık 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. | 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. |
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