How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software

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 te...

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Main Authors: Hu Chunyan, Hu Liangping
Format: Article
Language:zho
Published: Editorial Office of Sichuan Mental Health 2021-10-01
Series:Sichuan jingshen weisheng
Subjects:
Online Access:http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202105005&flag=1
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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 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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spelling doaj.art-8380be03a7484c12bfc19f34a8be3b842023-11-15T12:18:34ZzhoEditorial Office of Sichuan Mental HealthSichuan jingshen weisheng1007-32562021-10-0134541742310.11886/scjsws202109150041007-3256(2021)05-0417-07How to use χ2 test correctly—— the goodness of fit tests 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 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.http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202105005&flag=1goodness of fit testlack of fit testlikelihood ratio testsparse dataχ2 distribution
spellingShingle Hu Chunyan
Hu Liangping
How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software
Sichuan jingshen weisheng
goodness of fit test
lack of fit test
likelihood ratio test
sparse data
χ2 distribution
title How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software
title_full How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software
title_fullStr How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software
title_full_unstemmed How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software
title_short How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software
title_sort how to use χ2 test correctly the goodness of fit tests and the implementation of the sas software
topic goodness of fit test
lack of fit test
likelihood ratio test
sparse data
χ2 distribution
url http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202105005&flag=1
work_keys_str_mv AT huchunyan howtousech2testcorrectlythegoodnessoffittestsandtheimplementationofthesassoftware
AT huliangping howtousech2testcorrectlythegoodnessoffittestsandtheimplementationofthesassoftware