| 胡纯严,胡良平.如何正确运用χ2检验——生存资料的似然比检验和六种非参数检验与SAS实现[J].四川精神卫生杂志,2021,34(5):398-403.Hu Chunyan,Hu Liangping,How to use χ2 test correctly——the likelihood ratio test and the six nonparametric tests of the survival data and the implementation of the SAS software[J].SICHUAN MENTAL HEALTH,2021,34(5):398-403 |
| 如何正确运用χ2检验——生存资料的似然比检验和六种非参数检验与SAS实现 |
| How to use χ2 test correctly——the likelihood ratio test and the six nonparametric tests of the survival data and the implementation of the SAS software |
| 投稿时间：2021-09-15 |
| DOI：10.11886/scjsws20210915001 |
| 中文关键词: 生存资料 似然比检验 非参数检验 对数秩检验 χ2分布 |
| 英文关键词:Survival data Likelihood ratio test Nonparametric test Log-rank test χ2 distribution |
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| 中文摘要: |
| 本文目的是介绍生存资料的似然比检验与六种非参数检验以及SAS实现。基于生存资料服从指数分布的假定，推导出似然比检验方法；而六种非参数检验方法的主要区别在于它们具有不同的权函数。在未分层和分层的条件下，都可以运用前述提及的七种生存资料假设检验方法，它们的共同点是其检验统计量都服从χ2分布。本文通过两个实例，并借助SAS软件，实现两组或多组生存资料的各种假设检验，对输出结果作出解释，并给出统计结论和专业结论。 |
| 英文摘要: |
| The purpose of this article was to introduce the likelihood ratio test， six nonparametric tests， and the SAS implementation of the survival data. Based on the assumption that the survival data had the exponential distribution， the likelihood ratio test method was derived， the main difference between six nonparametric test methods was that they had different weight functions. Under the conditions of non-stratification and stratification， the seven survival data hypothesis testing methods mentioned above could be used， and their common point was that their test statistics all followed the χ2 distribution. Through two examples and by means of the SAS software， the article realized the various hypothesis tests for two or more groups of survival data， outputed and explained SAS calculation results， and made statistical and professional conclusions. |
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