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ピアソンのカイ二乗独立性検定×Cramer's V×ロジスティック回帰×
分野統計学統計学研究統計
系統Hypothesis testHypothesis testProcess / pipeline
提唱年190019461958
提唱者Karl PearsonHarald CramérDavid Roxbee Cox
種類Nonparametric association / goodness-of-fitNonparametric association measureMethod
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. Philosophical Magazine, Series 5, 50(302), 157–175. link ↗Cramér, H. (1946). Mathematical Methods of Statistics. Princeton University Press. ISBN: 978-0691080420Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗
別名chi-squared test, χ² test, Ki-Kare Testi, chi-square testcramers v, cramer v, phi coefficient (r×c), Cramer's V (İlişki Kuvveti)logit model, binomial logistic regression, LR
関連333
概要The chi-square test of independence is a nonparametric hypothesis test that determines whether two categorical variables are statistically associated or independent of one another. Introduced by Karl Pearson in 1900, it remains the standard procedure for analysing contingency tables and requires no assumption of normality — only that observations are independent and that expected cell frequencies are sufficiently large.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.Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.
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ScholarGate手法を比較: Chi-square goodness-of-fit test · Cramer's V · Logistic Regression. 2026-06-19に以下より取得 https://scholargate.app/ja/compare