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सटीक द्विपद परीक्षण (Exact Binomial Test)×स्वतंत्रता का काई-वर्ग परीक्षण (Chi-square Test of Independence)×
क्षेत्रसांख्यिकीसांख्यिकी
परिवारRegression modelHypothesis test
उद्भव वर्ष19881900
प्रवर्तकClassical exact test; textbook treatment by Siegel & CastellanKarl Pearson
प्रकारExact one-sample test for a proportionNonparametric test of association
मौलिक स्रोतSiegel, S. & Castellan, N. J. (1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). McGraw-Hill. ISBN: 978-0070573574Pearson, 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 ↗
उपनामexact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testichi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi
संबंधित22
सारांशThe exact binomial test checks whether the observed number of successes in a fixed number of independent trials is consistent with a pre-specified success probability p₀. Because it computes exact binomial tail probabilities rather than relying on a normal approximation, it is the gold standard for testing a proportion in small samples; this two-sided formulation follows Siegel & Castellan's classic treatment (1988).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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