| 胡纯严,胡良平.如何正确运用χ2检验——拟合优度检验与SAS实现[J].四川精神卫生杂志,2021,34(5):417-423.Hu Chunyan,Hu Liangping,How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software[J].SICHUAN MENTAL HEALTH,2021,34(5):417-423 |
| 如何正确运用χ2检验——拟合优度检验与SAS实现 |
| How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software |
| 投稿时间：2021-09-15 |
| DOI：10.11886/scjsws20210915004 |
| 中文关键词: 拟合优度检验 失拟检验 似然比检验 稀疏资料 χ2分布 |
| 英文关键词:Goodness of fit test Lack of fit test Likelihood ratio test Sparse data χ2 distribution |
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| 中文摘要: |
| 本文目的是介绍拟合优度检验及其SAS实现，主要内容包括以下四个方面：①Pearson’s拟合优度检验；②偏差或称似然比拟合优度检验；③Hosmer-Lemeshow拟合优度检验；④稀疏资料拟合优度检验。前述提及的第四个方面的内容包含六种具体的检验方法，即“信息矩阵检验”“信息矩阵对角线检验”“Osius-Rojek检验”“未加权的残差平方和检验”“Spiegelhalter检验”和“Stukel检验”。本文结合一个实例并借助SAS软件实现前述提及的四类拟合优度检验，对输出结果做出解释，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 goodness of fit test and its SAS implementation. The main contents included the following four aspects： ① Pearson?s goodness of fit test； ② deviance or likelihood ratio goodness of fit test； ③ Hosmer-Lemeshow goodness of fit test； ④ goodness of fit test for the sparse data. In the aforementioned “fourth aspect”， there were six specific test approaches， namely “information matrix test” “information matrix diagonal test” “Osius-Rojek test” “unweighted residual sum of squares test” “Spiegelhalter test” and “Stukel test”. The paper implemented the four types of the goodness of fit tests mentioned above with the help of the SAS software through an example， explained the output results， and made statistical and professional conclusions. |
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