方法对比
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| 简单线性回归× | 单因素方差分析× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族≠ | Regression model | Hypothesis test |
| 起源年份≠ | 1805 | 1925 |
| 提出者≠ | Adrien-Marie Legendre (least squares, 1805); Francis Galton (regression concept, 1886) | Ronald A. Fisher |
| 类型≠ | Parametric bivariate regression | Parametric mean comparison |
| 开创性文献≠ | Legendre, A. M. (1805). Nouvelles méthodes pour la détermination des orbites des comètes. Firmin Didot, Paris. [Appendix: Sur la méthode des moindres quarrés, pp. 72–80] link ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| 别名≠ | SLR, ordinary least squares regression, OLS regression, bivariate regression | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| 相关≠ | 7 | 4 |
| 摘要≠ | Simple linear regression is the foundational parametric method for modelling a straight-line relationship between one continuous predictor and one continuous outcome, estimating the slope and intercept by ordinary least squares (OLS). The least squares principle was first published by Adrien-Marie Legendre in 1805, and Francis Galton introduced the concept of regression to the mean in 1886, coining the term that names the entire family of methods. | 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. |
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