====卡方分布==== ====Chi-square distribution==== ====1.定义(Denfinition)==== *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)==== {{:ea41ba48-4d53-46ba-9bcd-edf012bae037.jpeg?400|}}