卡方分布
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卡方分布 [2023/04/11 08:06] – 创建 yunyuqu | 卡方分布 [2024/04/17 15:18] (当前版本) – zwz | ||
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====卡方分布==== | ====卡方分布==== | ||
- | 1.定义:由自由度df决定的正偏态分布。 | + | ====Chi-square distribution==== |
- | 2.特点: | + | ====1.定义(Denfinition)==== |
- | ² | + | *由 自由度df决定的正偏态分布。 |
+ | |||
+ | *A positively skewed distribution determined by the degrees of freedom (df). | ||
+ | |||
+ | ---- | ||
+ | |||
+ | ====2.特点(Characteristic)==== | ||
+ | * **数值**:X²都是正值。 | ||
+ | * **可加性**:几个X²的变量的和仍然服从卡方分布。 | ||
+ | * **形状**: | ||
+ | * ① 取决于类目数,而不是样本数。(df=C-1) | ||
+ | * ② 卡方分布呈现正偏态,右端无限延伸,不与基线相交。 | ||
+ | * ③ df越大,分布越趋向对称,越趋向正态分布。 | ||
+ | * **临界值**:df增加,临界值增加 | ||
+ | |||
+ | * **Numerical value**: X² are positive. | ||
+ | * **Additivity**:The sum of several X² variables still obeys a chi-square distribution. | ||
+ | * **Shape**: | ||
+ | * ① Depends on the number of classes, not the number of samples.(df=C-1) | ||
+ | * ② The chi-square distribution exhibits a positive skewness with an infinite extension at the right end that does not intersect the baseline. | ||
+ | * ③ The larger df is, the more the distribution tends to be symmetric and normal. | ||
+ | * **Threshold value**:Increasing df results in an increase in the critical value. | ||
+ | |||
+ | |||
+ | ---- | ||
+ | |||
+ | ====3.例图(Example chart)==== | ||
+ | |||
+ | {{: |
卡方分布.1681200379.txt.gz · 最后更改: 2023/04/11 08:06 由 yunyuqu