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تحلیل واریانس (ANOVA)×تحلیل رگرسیون چندگانه×
حوزهآمار پژوهشآمار پژوهش
خانوادهProcess / pipelineProcess / pipeline
سال پیدایش19251801
پدیدآورRonald A. FisherCarl Friedrich Gauss
نوعMethodMethod
منبع بنیادینFisher, R. A. (1925). Statistical Methods for Research Workers. Oliver and Boyd. link ↗Draper, N. R., & Smith, H. (1966). Applied Regression Analysis. John Wiley & Sons. link ↗
نام‌های دیگرANOVA, F-testMLR, multivariate regression, linear regression
مرتبط44
خلاصهANOVA is a parametric statistical method developed by Ronald A. Fisher in 1925 that tests whether means differ significantly across three or more independent groups. By partitioning total variance into between-group and within-group components, ANOVA determines whether observed differences are likely due to treatment effects or random variation, making it fundamental to comparative research across medicine, psychology, agriculture, and engineering.Multiple regression analysis is a statistical method for modeling the relationship between a continuous dependent variable and two or more independent variables (predictors). Originating from Gauss's early 19th-century work and formalized by Draper and Smith (1966), it estimates linear equations predicting outcomes from multiple predictors while accounting for confounding relationships, making it indispensable in epidemiology, economics, psychology, and clinical research.
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ScholarGateمقایسهٔ روش‌ها: Analysis of Variance (ANOVA) · Multiple Regression Analysis. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare