方法对比

	多元回归的功效分析	t检验的功效分析
领域	统计学	统计学
方法族	Hypothesis test	Hypothesis test
起源年份	1988	1969
提出者	Jacob Cohen	Jacob Cohen
类型	A priori sample size determination	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	regression power analysis, sample size estimation regression, f² power analysis, Güç Analizi — Regresyon	t-test power analysis, sample size calculation for t-test, Güç Analizi — t-Testi
相关	4	5
摘要	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.	Power analysis for the t-test is a sample size planning procedure that determines how many participants are required to detect a mean difference of a given magnitude with acceptable probability. Formalised by Jacob Cohen in his 1969 and 1988 editions of Statistical Power Analysis for the Behavioral Sciences, it links four quantities — effect size (Cohen's d), significance level (α), statistical power (1 − β), and sample size — so that fixing any three allows calculation of the fourth.