曼-惠特尼u检验

差别

这里会显示出您选择的修订版和当前版本之间的差别。

到此差别页面的链接

--- 曼-惠特尼u检验 [2024/04/24 03:29] – zwz
+++ 曼-惠特尼u检验 [2024/04/24 05:08] (当前版本) – zwz
@@ 行 27: / 行 27: @@
 ----
-**4. 假设检验**
+**4. 假设检验（Hypothesis Testing）**
 **第一步：给出虚无假设和备择假设**
@@ 行 40: / 行 40: @@
   * U越大，两个样本越接近
   * ∴当Uobs ≤ Ucrit时,才能拒绝H0 （与参数检验正好相反）
+**Step 1: Give null hypotheses and alternative hypotheses**
+  * **H0**：Without systematic differences between the two treatments.
+  * **H1**：With systematic differences between the two treatments.
+**Step2：obtain Ucrit of boundary point**
+  * According to nA,nB, look up the table to get Ucrit.
+**Step 3: Calculate U**
+  * Select the smaller of UA and UB as U.
+**Step 4: Analysis of results for Mann-Whitney U**
+  * If U = 0, one of the samples is not scored . There is no overlap between the two samples and the difference is the largest.
+  * The larger U is, the closer the two samples are.
+  * ∴Only when Uobs ≤ Ucrit can H0 be rejected (the opposite of a parametric test).
 ----
-**5. 大样本情况下的正态近似**
+**5. 大样本情况下的正态近似（Normal approximation in the case of large samples）**
   * 当n>20, Mann-Whitney U统计量接近正态分布
+  *  When n>20, Mann-Whitney U statistic is close to normal distribution.
   * μ= nAnB/2
   * σ= sqrt（nAnB （nA+nB+1）/12）
@@ 行 49: / 行 63: @@
 ----
-**6. 统计前提**
+**6. 统计前提（Statistical Prerequisites）**
   * 要求观察独立
   * 要求变量是连续的，即较少相同的等级
   * 不要求正态分布
   * 不要求方差同质
+  * Requiring independent observation.
+  * Requiring variables to be continuous, i.e., less equal in rank.
+  * Not requiring normal distribution.
+  * Not requiring variance to be homogeneous.

曼-惠特尼u检验.1713929383.txt.gz · 最后更改: 2024/04/24 03:29 由 zwz