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| 点双列相关× | Spearman秩相关系数× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1954 | 1904 |
| 提出者≠ | Robert F. Tate | Charles Spearman |
| 类型≠ | Parametric correlation coefficient | Nonparametric rank-based correlation |
| 开创性文献≠ | Tate, R. F. (1954). Correlation between a discrete and a continuous variable. Point-biserial correlation. Annals of Mathematical Statistics, 25(3), 603–607. DOI ↗ | Spearman, C. (1904). The proof and measurement of association between two things. The American Journal of Psychology, 15, 72–101. DOI ↗ |
| 别名≠ | rpb, r_pb, point biserial r, item-total correlation | Spearman's rho, Spearman rank-order correlation, Spearman Sıra Korelasyonu |
| 相关 | 4 | 4 |
| 摘要≠ | The point-biserial correlation coefficient (r_pb) measures the strength and direction of the linear association between one naturally dichotomous variable (coded 0/1) and one continuous variable. It is a special case of the Pearson product-moment correlation formally derived by Tate (1954) in the Annals of Mathematical Statistics and is the standard index used in psychometric item analysis, validity studies, and any research context where a binary grouping variable is related to a continuous outcome. | The Spearman rank correlation coefficient (ρ) is a nonparametric measure of the monotonic association between two variables. Introduced by Charles Spearman in 1904, it converts raw observations to ranks and measures how consistently one variable increases as the other increases, without assuming a normal distribution or a linear relationship. |
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