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	重回帰分析のための検出力分析	Multiple Linear Regression
分野	統計学	統計学
系統	Hypothesis test	Regression model
提唱年	1988	1886
提唱者	Jacob Cohen	Francis Galton; formalized by Karl Pearson
種類	A priori sample size determination	Parametric linear model
原典	Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. ISBN: 978-0805802832	Galton, F. (1886). Regression towards mediocrity in hereditary stature. Journal of the Anthropological Institute of Great Britain and Ireland, 15, 246–263.
別名	regression power analysis, sample size estimation regression, f² power analysis, Güç Analizi — Regresyon	MLR, OLS regression, multiple regression, linear regression with multiple predictors
関連	4	8
概要	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.	Multiple linear regression (MLR) is a parametric regression model that expresses a continuous outcome as a weighted linear combination of two or more predictor variables plus a random error term. The unknown weights (regression coefficients) are estimated by ordinary least squares (OLS), which minimises the sum of squared residuals. The method traces to Francis Galton's 1886 work on hereditary stature and was placed on firm mathematical footing by Karl Pearson; Draper and Smith's 1966 textbook established it as the standard framework for applied regression.