مقایسهٔ روشها
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| رگرسیون خطی چندگانه× | تحلیل واریانس یکطرفه× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده≠ | Regression model | Hypothesis test |
| سال پیدایش≠ | 1886 | 1925 |
| پدیدآور≠ | Francis Galton; formalized by Karl Pearson | Ronald A. Fisher |
| نوع≠ | Parametric linear model | Parametric mean comparison |
| منبع بنیادین≠ | Galton, F. (1886). Regression towards mediocrity in hereditary stature. Journal of the Anthropological Institute of Great Britain and Ireland, 15, 246–263. DOI ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| نامهای دیگر≠ | MLR, OLS regression, multiple regression, linear regression with multiple predictors | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| مرتبط≠ | 8 | 4 |
| خلاصه≠ | 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. | One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925. |
| ScholarGateمجموعهداده ↗ |
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