| 胡纯严,胡良平.如何正确运用方差分析——嵌套设计定量资料一元方差分析与SAS实现[J].四川精神卫生杂志,2022,35(3):217-222.Hu Chunyan,Hu Liangping,How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the nested design[J].SICHUAN MENTAL HEALTH,2022,35(3):217-222 |
| 如何正确运用方差分析——嵌套设计定量资料一元方差分析与SAS实现 |
| How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the nested design |
| 投稿时间：2022-05-10 |
| DOI：10.11886/scjsws20220510007 |
| 中文关键词: 嵌套设计 固定效应 随机效应 混合效应 方差分析 |
| 英文关键词:Nested design Fixed effects Random effects Mixed effects Analysis of variance |
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| 中文摘要: |
| 本文目的是介绍嵌套设计及其定量资料的方差分析与SAS实现。若某项试验研究存在以下两个特点之一，则可考虑选择嵌套设计安排试验：①因素之间存在自然属性上的嵌套关系；②依据专业知识，各因素对定量观测结果的影响存在主次之分。前述第一个特点意味着与受试对象有关联的因素具备分组再分组的条件；前述第二个特点意味着各因素的地位是不平等的。因此，对定量资料进行方差分析时，需采用可变误差均方的计算公式。本文基于4个实例并借助SAS软件，实现了嵌套设计定量资料一元方差分析，并对SAS输出结果作出解释。 |
| 英文摘要: |
| The purpose of this paper was to introduce the nested design and its quantitative data analysis of variance and the SAS implementation. If one of the following two characteristics existed in a specific experimental study， a nested design could be considered to arrange the experiment. Firstly， there was a nested relationship between factors in natural attributes. Secondly， with professional knowledge as the basis， the impact of each factor on the quantitative observation results was divided into primary and secondary. The first feature mentioned above meant that the factors related to the subjects had the conditions for grouping and regrouping. The second feature mentioned above meant that the status of each factor was unequal. In the variance analysis of quantitative data， the calculation formulas of variable error mean square was required to use. Based on four examples and with the help of the SAS software， this paper implemented the univariate analysis of variance for the quantitative data of the nested design， and gave the detailed explanations for the output results of SAS software. |
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