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事后检验 [2024/03/29 05:54] – hant_g._cavendish事后检验 [2024/04/06 09:20] (当前版本) – caomingsu
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   - ANOVA无法说明哪个备择假设得到支持；   - ANOVA无法说明哪个备择假设得到支持；
      * The ANOVA cannot indicate which alternative hypothesis is supported.      * The ANOVA cannot indicate which alternative hypothesis is supported.
- 
   - 要进行事后检验以说明各组差异在什么地方；   - 要进行事后检验以说明各组差异在什么地方；
      * Post-hoc tests are needed to show where the groups differ.      * Post-hoc tests are needed to show where the groups differ.
- 
   - 事后检验是比较每一个组和另一个处理组，一次比较两个，这称为成对比较。   - 事后检验是比较每一个组和另一个处理组，一次比较两个，这称为成对比较。
      * Post-hoc test compares each group to another treatment group, two at a time; this is called a pairwise comparison.      * Post-hoc test compares each group to another treatment group, two at a time; this is called a pairwise comparison.
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   - 每一个比较都是一个单独的假设检验，每一个都有犯I类错误的风险。所以，比较对数越多，作结论的风险越大。即容易发现实际不存在的差异。这称为实验导致的（experimentwise）alpha水平或族系（familywise）误差；   - 每一个比较都是一个单独的假设检验，每一个都有犯I类错误的风险。所以，比较对数越多，作结论的风险越大。即容易发现实际不存在的差异。这称为实验导致的（experimentwise）alpha水平或族系（familywise）误差；
     *  Each comparison is a separate hypothesis test, each with the risk of making a Type I error. So the more pairs of comparisons there are, the greater the risk of making a conclusion. That is, it is easy to find differences that do not actually exist. This is called the **experimentwise** alpha level or **familywise** error.     *  Each comparison is a separate hypothesis test, each with the risk of making a Type I error. So the more pairs of comparisons there are, the greater the risk of making a conclusion. That is, it is easy to find differences that do not actually exist. This is called the **experimentwise** alpha level or **familywise** error.
-    *  
   - 多次比较后犯I类错误的概率(Probability of making a Type I error after multiple comparisons)为**α<sub>EW</sub>=1-(1-α）<sup>c</sup>**，其中c为比较的次数(c=Number of comparisons)。   - 多次比较后犯I类错误的概率(Probability of making a Type I error after multiple comparisons)为**α<sub>EW</sub>=1-(1-α）<sup>c</sup>**，其中c为比较的次数(c=Number of comparisons)。
  
 ---- ----
-=== Tukey's HSD检验 === +=== Tukey's HSD检验 (Tukey's HSD test) === 
-  * 此检验各组要有相同的样本容量 +  - 此检验各组要有相同的样本容量; 
-  * 可以计算出单一的值确定处理均值间的最小差异，考查此差异在统计上是否显著 +    * This test requires the same sample size for each group. 
-  * {{::hsd公式.png?200|}} +  - 可以计算出单一的值确定处理均值间的最小差异，考查此差异在统计上是否显著; 
-  * q可以查表得到+    * A single value can be calculated to determine the smallest difference between treatment means, to see if the difference is statistically significant. 
 +  - {{::hsd公式.png?200|}} 
 +  - q可以查表得到。 
 +    * q score can be obtained by looking up the table.
  
 ---- ----
-=== Scheffe检验 === +=== Scheffe检验 (Scheffe test) === 
-  * 适用于n不相等的情况 +  - 适用于n不相等的情况; 
-  * 降低I类错误的风险，提高II类错误的风险 +    * Applies when n is not equal. 
- +  - 降低I类错误的风险，提高II类错误的风险。 
 +    * Reduces the risk of Type I errors and increases the risk of Type II errors.
事后检验.1711691689.txt.gz · 最后更改: 2024/03/29 05:54 由 hant_g._cavendish