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Pearsonin khii toiseen -riippumattomuustesti×Cramérin V×Logistinen regressio×McNemarin testi×
TieteenalaTilastotiedeTilastotiedeTutkimuksen tilastomenetelmätTilastotiede
MenetelmäperheHypothesis testHypothesis testProcess / pipelineHypothesis test
Syntyvuosi1900194619581947
KehittäjäKarl PearsonHarald CramérDavid Roxbee CoxQuinn McNemar
TyyppiNonparametric association / goodness-of-fitNonparametric association measureMethodNonparametric test for paired binary data
AlkuperäislähdePearson, 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 ↗
Rinnakkaisnimetchi-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
Liittyvät3335
TiivistelmäThe 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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ScholarGateVertaile menetelmiä: Chi-square goodness-of-fit test · Cramer's V · Logistic Regression · McNemar's test. Haettu 2026-06-19 osoitteesta https://scholargate.app/fi/compare