数据离群值的检验及处理方法讨论
朱嘉欣,包雨恬,黎朝

Discussion on the Method for Testing and Treating Outliers
Jiaxin ZHU,Yutian BAO,Zhao LI
表1 狄克逊法不同样本容量所对应的统计量公式
样本容量 离群值为xn 离群值为x1
n: 3–7 ${r_{10}} = \frac{{{x_n} - {x_{n - 1}}}}{{{x_n} - {x_1}}}$ ${r'_{10}} = \frac{{{x_2} - {x_1}}}{{{x_n} - {x_1}}}$
n: 8–10 ${r_{11}} = \frac{{{x_n} - {x_{n - 1}}}}{{{x_n} - {x_2}}}$ ${r'_{11}} = \frac{{{x_2} - {x_1}}}{{{x_{n - 1}} - {x_1}}}$
n: 11–13 ${r_{21}} = \frac{{{x_n} - {x_{n - 2}}}}{{{x_n} - {x_2}}}$ ${r'_{21}} = \frac{{{x_3} - {x_1}}}{{{x_{n - 1}} - {x_1}}}$
n: 14–30 ${r_{22}} = \frac{{{x_n} - {x_{n - 2}}}}{{{x_n} - {x_3}}}$ ${r'_{22}} = \frac{{{x_3} - {x_1}}}{{{x_{n - 2}} - {x_1}}}$