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方差的分解

方差的分解

1.方差的可分解性:

  • 指总的离差平方和可以分解为几个不同来源的平方和。

2.总方差的组成:

  • 组间平方和(分子):处理间方差
  • 组内平方和(分母):不是由于处理引起的方差
  • 可简化为:
  • 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): variance between treatments.
  • Within group sum of squares (denominator): variance not caused by processing.
  • 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.txt · 最后更改: 2024/04/07 12:46 由 zwz