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
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Sichuan Mental Health
2021-10-01
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| Series: | Sichuan jingshen weisheng |
| Subjects: | |
| Online Access: | http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202105002&flag=1 |
| _version_ | 1827762211050749952 |
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| author | Hu Chunyan Hu Liangping |
| author_facet | Hu Chunyan Hu Liangping |
| author_sort | Hu Chunyan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T10:26:33Z |
| format | Article |
| id | doaj.art-4f103946efb644ec8d68e80761391142 |
| institution | Directory Open Access Journal |
| issn | 1007-3256 |
| language | zho |
| last_indexed | 2024-03-11T10:26:33Z |
| publishDate | 2021-10-01 |
| publisher | Editorial Office of Sichuan Mental Health |
| record_format | Article |
| series | Sichuan jingshen weisheng |
| spelling | doaj.art-4f103946efb644ec8d68e807613911422023-11-15T12:18:34ZzhoEditorial Office of Sichuan Mental HealthSichuan jingshen weisheng1007-32562021-10-0134539840310.11886/scjsws202109150011007-3256（2021）05-0398-06How to use χ2 test correctly——the likelihood ratio test and the six nonparametric tests of the survival data and the implementation of the SAS softwareHu Chunyan0Hu Liangping1Graduate School， Academy of Military Sciences PLA China， Beijing 100850， ChinaGraduate School， Academy of Military Sciences PLA China， Beijing 100850， ChinaThe 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.http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202105002&flag=1survival datalikelihood ratio testnonparametric testlog-rank testχ2 distribution |
| spellingShingle | 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 Sichuan jingshen weisheng survival data likelihood ratio test nonparametric test log-rank test χ2 distribution |
| title | 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 |
| title_full | 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 |
| title_fullStr | 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 |
| title_full_unstemmed | 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 |
| title_short | 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 |
| title_sort | 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 |
| topic | survival data likelihood ratio test nonparametric test log-rank test χ2 distribution |
| url | http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202105002&flag=1 |
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