| 胡良平.如何正确运用Z检验——总体方差已知时两算术均值比较一般差异性Z检验及SAS实现[J].四川精神卫生杂志,2020,33(5):422-426.Hu Liangping,How to use Z test correctly——comparison of two arithmetic mean values for the general difference Z test under the condition of known the population variance and the SAS implementation[J].SICHUAN MENTAL HEALTH,2020,33(5):422-426 |
| 如何正确运用Z检验——总体方差已知时两算术均值比较一般差异性Z检验及SAS实现 |
| How to use Z test correctly——comparison of two arithmetic mean values for the general difference Z test under the condition of known the population variance and the SAS implementation |
| 投稿时间：2020-09-16 |
| DOI：10.11886/scjsws20200916004 |
| 中文关键词: 正态分布 Z检验 单侧检验 双侧检验 拒绝域 |
| 英文关键词:Normal distribution Z test One-sided test Two-sided test Rejection range |
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| 中文摘要: |
| 本文的目的是介绍总体方差已知时两算术均值比较一般差异性Z检验及SAS实现。首先，介绍了选用Z检验的前提条件；其次，介绍了单组设计和成组设计条件下进行均值比较的Z检验统计量，并介绍了上单侧检验、下单侧检验和双侧检验时所对应的拒绝域；最后，结合两个实例，基于SAS软件实现3种Z检验，对输出结果做出了解释。并针对如何合理选择单侧检验还是双侧检验给予说明。 |
| 英文摘要: |
| The purpose of this paper was to introduce the comparison of two arithmetic mean values for the general difference Z test under the condition of known the population variance and the SAS implementation. Firstly， the preconditions of the Z test was introduced. Secondly， the Z statistics were given for the comparison of two arithmetic mean values for the general difference Z test under the designs of the single group and two groups. Some basic concepts， such as upper one-sided test， lower one-sided test， two-sided test and the rejection range， were introduced. Lastly， three kinds of Z tests were performed based on the SAS software combined with two real examples， and the output results were also explained. Furthermore， the necessary explanation was given about how to select one-sided test or two-sided test rationally. |
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