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Тест незалежності хі-квадрат Пірсона×V Крамера×Логістична регресія×Тест Мак-Немара×
ГалузьСтатистикаСтатистикаСтатистика дослідженьСтатистика
РодинаHypothesis testHypothesis testProcess / pipelineHypothesis test
Рік появи1900194619581947
Автор методуKarl PearsonHarald CramérDavid Roxbee CoxQuinn McNemar
ТипNonparametric association / goodness-of-fitNonparametric association measureMethodNonparametric test for paired binary data
Основоположне джерелоPearson, 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 ↗McNemar, Q. (1947). Note on the sampling error of the difference between correlated proportions or percentages. Psychometrika, 12(2), 153–157. DOI ↗
Інші назвиchi-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, LRMcNemar chi-square test, test for correlated proportions, paired binary test, McNemar Testi
Пов'язані3335
ПідсумокThe 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.McNemar's test is a nonparametric hypothesis test that compares two paired (correlated) binary proportions, such as a yes/no measurement taken on the same subjects before and after an intervention. It was introduced by Quinn McNemar in 1947 and works on the 2×2 table of matched outcomes.
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ScholarGateПорівняння методів: Chi-square goodness-of-fit test · Cramer's V · Logistic Regression · McNemar's test. Отримано 2026-06-19 з https://scholargate.app/uk/compare