重复测量方差分析的方差分解

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--- 重复测量方差分析的方差分解 [2023/03/28 11:53] – 创建 yunyuqu
+++ 重复测量方差分析的方差分解 [2024/04/07 12:57] (当前版本) – [Variance decomposition of repeated measurement analysis of variance] zwz
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   * {{:repeated.png?400 |}}
   *
+  *
+  *
+  *
+  *
+  *
+  * 注：重复测量方差分析中，由于不考虑被试间的变异性（即个体差异），所以SS组内只需考虑SS误差
+----
+**和方的计算公式**
+  * {{:ss和重复.png?150 |}}
+  * {{:ss组间重复.png?220 |}}
+  * {{:ss组内重复.png?100 |}}
+  * {{:ss被试间.png?200 |}}
+  * {{:ss误差.png?200 |}}
+----
+**自由度**
+  * 共有5个自由度, 2个计算均方时要用到
+  - 总的 df = N-1
+  - __组间方差df = k-1__
+  - 组内方差df = N-k
+  - 被试间方差df = n-1
+  - __误差方差df = （N-k） -（n-1）= N-k-n+1__
+====Variance decomposition of repeated measurement analysis of variance====
+  * SS of population = SS between Groups + SS within Groups = SS between Groups + SS between Subjects + SS Error
+  * {{:repeated.png?400 |}}
+  *
+  *
+  *
+  *
+  *
+  *
+  * Note: In repeated measures ANOVA, since variability between subjects (i.e. individual differences) is not considered, only SS error needs to be considered within the SS group.
+----
+**The calculation formula for sum of squares**
+  * {{:ss和重复.png?150 |}}
+  * {{:ss组间重复.png?220 |}}
+  * {{:ss组内重复.png?100 |}}
+  * {{:ss被试间.png?200 |}}
+  * {{:ss误差.png?200 |}}
+----
+**degree of freedom**
+  * There are a total of 5 degrees of freedom, 2 of which need to be used to calculate the mean square
+  - Total df = N-1
+  - __Between group variance df = k-1__
+  - Within group variance df = N-k
+  - Between subject variance df = n-1
+  - __error variance df = （N-k） -（n-1）= N-k-n+1__

重复测量方差分析的方差分解.1680004422.txt.gz · 最后更改: 2023/03/28 11:53 由 yunyuqu