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المجالالإحصاءالإحصاءالإحصاء
العائلةHypothesis testRegression modelHypothesis test
سنة النشأة198819881900
صاحب الطريقةJacob CohenClassical exact test; textbook treatment by Siegel & CastellanKarl Pearson
النوعSample size determinationExact one-sample test for a proportionNonparametric test of association
المصدر التأسيسيCohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. DOI ↗Siegel, 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 ↗
الأسماء البديلةproportion power analysis, two-proportion z-test power, z-test for proportions power, Oran Testi Güç Analiziexact 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
ذات صلة322
الملخصPower analysis for proportion tests is a prospective sample-size planning method used to determine how many participants are needed to detect a meaningful difference between two (or one) proportions with a specified probability. Formalised by Jacob Cohen in his 1988 landmark text, it applies the arcsine transformation to convert proportions into the effect-size index h, enabling direct calculation of the required sample size.The 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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ScholarGateقارن الطرق: Power Analysis for Proportions · Binomial Test · Chi-square test. استُرجع بتاريخ 2026-06-18 من https://scholargate.app/ar/compare