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	クロス集計分析	Cramer's V
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1900	1946
提唱者	Karl Pearson	Harald Cramér
種類	Descriptive and inferential categorical analysis	Nonparametric association measure
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.	Cramér, H. (1946). Mathematical Methods of Statistics. Princeton University Press. ISBN: 978-0691080420
別名	crosstab, contingency table analysis, two-way frequency table, bivariate frequency analysis	cramers v, cramer v, phi coefficient (r×c), Cramer's V (İlişki Kuvveti)
関連	5	3
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.	Cramer's V is a nonparametric effect-size statistic that measures the strength of association between two categorical variables on a scale from 0 to 1. Introduced by the Swedish mathematician Harald Cramér in his 1946 work Mathematical Methods of Statistics, it generalises the phi coefficient to tables of any size, making it the standard companion statistic to the chi-square test.