方差的分解
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方差的分解 [2023/03/25 15:33] – yunyuqu | 方差的分解 [2024/04/07 12:46] (当前版本) – [Decomposition of variance] zwz | ||
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* 公式的理解:总平方和=组内平方和+组间平方和 | * 公式的理解:总平方和=组内平方和+组间平方和 | ||
+ | ====Decomposition of variance==== | ||
+ | |||
+ | **1.Decomposability of variance:** | ||
+ | *The total sum of squares of deviations can be decomposed into the sum of squares by different sources. | ||
+ | |||
+ | **2.Composition of total variance:** | ||
+ | *Inter group sum of squares (numerator): | ||
+ | *Within group sum of squares (denominator): | ||
+ | * {{: | ||
+ | * | ||
+ | * Which can be simplified as | ||
+ | * {{: | ||
+ | * | ||
+ | * Understanding of the formula: The total sum of squares = The sum of squares within groups + The sum of squares between groups |
方差的分解.1679758382.txt.gz · 最后更改: 2023/03/25 15:33 由 yunyuqu