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Phân tích công suất cho kiểm định tỷ lệ×Kiểm định nhị thức chính xác×Kiểm định Chi-bình phương độc lập×Phân tích lực (Power Analysis) cho ANOVA×
Lĩnh vựcThống kêThống kêThống kêThống kê
HọHypothesis testRegression modelHypothesis testHypothesis test
Năm ra đời1988198819001988
Người khởi xướngJacob CohenClassical exact test; textbook treatment by Siegel & CastellanKarl PearsonJacob Cohen
LoạiSample size determinationExact one-sample test for a proportionNonparametric test of associationSample size determination
Công trình gốcCohen, 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 ↗Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. ISBN: 978-0805802832
Tên gọi khácproportion 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 testiANOVA power analysis, F-test power analysis, sample size for ANOVA, Güç Analizi — ANOVA
Liên quan3224
Tóm tắtPower 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.Power analysis for ANOVA is a prospective statistical technique that determines the minimum sample size needed to detect a specified group mean difference with a chosen probability. Formalized by Jacob Cohen in his 1988 monograph, it translates a researcher's effect size expectation — expressed as Cohen's f — along with the desired Type I error rate (alpha) and statistical power (1 − beta) into a concrete per-group sample size recommendation for one-way or factorial ANOVA designs.
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ScholarGateSo sánh phương pháp: Power Analysis for Proportions · Binomial Test · Chi-square test · Power Analysis for ANOVA. Truy cập ngày 2026-06-18 từ https://scholargate.app/vi/compare