| 胡纯严,胡良平.如何正确运用方差分析——平衡不完全区组设计定量资料一元方差分析[J].四川精神卫生杂志,2022,35(2):103-107.Hu Chunyan,Hu Liangping,How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the balanced incomplete block design[J].SICHUAN MENTAL HEALTH,2022,35(2):103-107 |
| 如何正确运用方差分析——平衡不完全区组设计定量资料一元方差分析 |
| How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the balanced incomplete block design |
| 投稿时间：2022-03-10 |
| DOI：10.11886/scjsws20220310002 |
| 中文关键词: 方差分析 F检验 定量资料 设计类型 平衡不完全区组设计 交互作用 |
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| 中文摘要: |
| 本文目的是介绍平衡不完全区组设计定量资料一元方差分析的模型、计算公式和SAS实现。在计算中，涉及两个检验统计量，即FA和FB。其中，A代表试验因素，B代表区组因素（即重要的非试验因素）。一般来说，假定平衡不完全区组设计中的两个因素之间不存在交互作用或交互作用可以忽略不计，故不需要评价交互作用项是否具有统计学意义，因此，在两因素各水平组合下可以不做重复试验。本文借助SAS软件，对两个实例进行平衡不完全区组设计定量资料一元方差分析，并给出计算结果，作出统计结论和专业结论。 |
| 英文摘要: |
| The purpose of this paper was to introduce the model， calculation formulas and the SAS implementation of the analysis of variance for the quantitative data with balanced incomplete block design. In the calculation， two test statistics were involved， namely FA and FB. Among them， the subscript "A" represented the experimental factor， and the subscript "B" represented the block factor B （i.e.， the important non-experimental factor）. In general， it was assumed that there was no or negligible interaction between the two factors in a balanced incomplete block design， so there was no need to evaluate whether the interaction term was statistically significant. Therefore， it was not necessary to do repeated experiments under each combination of two factors. With the help of SAS software， this paper conducted the analysis of variance for the quantitative data with balanced incomplete block design on two examples， and presented the calculation results and made the statistical and professional conclusions. |
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