方法对比

	ANOVA 的功效分析	多元回归的功效分析
领域	统计学	统计学
方法族	Hypothesis test	Hypothesis test
起源年份	1988	1988
提出者	Jacob Cohen	Jacob Cohen
类型	Sample size determination	A priori sample size determination
开创性文献	Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. ISBN: 978-0805802832	Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. ISBN: 978-0805802832
别名	ANOVA power analysis, F-test power analysis, sample size for ANOVA, Güç Analizi — ANOVA	regression power analysis, sample size estimation regression, f² power analysis, Güç Analizi — Regresyon
相关	4	4
摘要	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.	Power analysis for multiple regression is a pre-study procedure, formalised by Jacob Cohen (1988), that calculates the minimum sample size needed to detect a regression effect of a given size with adequate statistical power. It uses the anticipated R² (or the equivalent Cohen's f² effect size) and the number of predictors to determine how many observations must be collected before data collection begins.