| 胡纯严,胡良平.如何正确运用方差分析——多个均值之间的多重比较[J].四川精神卫生杂志,2022,35(1):21-25.Hu Chunyan,Hu Liangping,How to use analysis of variance correctly——the multiple comparisons among the multiple means[J].SICHUAN MENTAL HEALTH,2022,35(1):21-25 |
| 如何正确运用方差分析——多个均值之间的多重比较 |
| How to use analysis of variance correctly——the multiple comparisons among the multiple means |
| 投稿时间：2022-01-10 |
| DOI：10.11886/scjsws20220110007 |
| 中文关键词: 方差分析 多重比较 比较误差率 试验误差率 极差分布 |
| 英文关键词:Analysis of variance Multiple comparisons Comparisonwise error rate Experimentwise error rate Range distribution |
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| 中文摘要: |
| 本文目的是介绍多个均值之间的多重比较方法与SAS实现。多重比较方法可细分为成对比较、所有处理组与一个对照组比较、将每个处理组平均值与全部组平均值进行比较、近似和基于模拟的方法、多阶段检验和贝叶斯方法。除贝叶斯方法外，其他多重比较方法之间的区别在于控制的误差类型不同。误差类型大体可分为以下三类：比较误差率、试验误差率和最大试验误差率。基于控制不同误差率所构造出来的多重比较方法，在得出结论的推理强度上是不相同的。本文使用SAS软件对实例进行分析，并对输出结果作出解释。 |
| 英文摘要: |
| The purpose of the paper was to introduce the multiple comparison method among multiple means and the SAS implementation. The multiple comparison approaches could be subdivided into the pairwise comparisons， the comparisons of all treatment groups with a control group， the comparisons of the mean of each treatment group with the average of all groups， the approximate and simulation-based approach， the multi-stage testing and Bayesian method. Except for the Bayesian approach， the difference between other multiple comparison methods lied in the types of error that were controlled. Error types could be roughly divided into the following three categories， the comparisonwise error rate， the experimentwise error rate and the maximum experimentwise error rate. The multiple comparison methods constructed based on the control of different error rates were not all the same in the strength of inference to draw conclusions. This paper used the SAS software to analyze the examples and explained the output results. |
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