| 胡纯严,胡良平.如何正确运用方差分析——交叉设计定量资料一元方差分析[J].四川精神卫生杂志,2022,35(2):108-113.Hu Chunyan,Hu Liangping,How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the crossover design[J].SICHUAN MENTAL HEALTH,2022,35(2):108-113 |
| 如何正确运用方差分析——交叉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 crossover design |
| 投稿时间：2022-03-10 |
| DOI：10.11886/scjsws20220310003 |
| 中文关键词: 方差分析 F检验 定量资料 设计类型 交叉设计 交互作用 |
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| 中文摘要: |
| 本文目的是介绍交叉设计定量资料一元方差分析的计算公式和SAS实现。在计算中，涉及三个检验统计量，即F处理、F阶段和F个体，它们分别用于评价处理因素、阶段因素和个体因素对定量结果变量的影响是否有统计学意义。一般来说，假定交叉设计中的三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有统计学意义。本文借助SAS软件，分别对2×2交叉设计、3×3交叉设计和三阶段交叉设计的三个实例进行交叉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 the paper was to introduce the calculation formulas and the SAS implementation of the analysis of variance for the quantitative data of the crossover design. In the calculation， three test statistics were involved， namely Ftreatment， Fstage and Findividual. They were three test statistics used to evaluate the statistical significance of the effect of the treatment factor， the stage factor， and the individual factor on the quantitative outcome variable， respectively. In general， it was assumed that there was no or negligible interaction among the three factors in a crossover design， so there was no need to evaluate whether the interaction term was statistically significant. With the help of SAS software， this paper conducted the univariate analysis of variance for the quantitative data of crossover designs for three examples of 2×2 crossover design， 3×3 crossover design and three-stage crossover design， and presented the calculation results and drew the statistical and professional conclusions. |
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