How to use analysis of variance correctly——the tests of homogeneity of variance and SAS implementation
The purpose of the paper was to introduce the test for homoscedasticity and the SAS implementation. The test of homogeneity of variance could be divided into the following three categories， ①analysis of variance directly based on comparison of variances， ②analysis of variance based on mean compariso...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Sichuan Mental Health
2022-02-01
|
| Series: | Sichuan jingshen weisheng |
| Subjects: | |
| Online Access: | http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202201003&flag=1 |
| _version_ | 1797627596207292416 |
|---|---|
| author | Hu Chunyan Hu Liangping |
| author_facet | Hu Chunyan Hu Liangping |
| author_sort | Hu Chunyan |
| collection | DOAJ |
| description | The purpose of the paper was to introduce the test for homoscedasticity and the SAS implementation. The test of homogeneity of variance could be divided into the following three categories， ①analysis of variance directly based on comparison of variances， ②analysis of variance based on mean comparison was adopted for the new data from the variable transformation of the original data， ③the method of the χ2 test was used to analyze the quantitative raw data which followed the normal distribution. In the first category， a test statistic that followed the F distribution was constructed directly based on the variance ratio of the two samples. In the second category， there were a variety of different variable transformation approaches for the original data， and the new data after the transformation， which was viewed as the univariate quantitative data collected from a single-factor with multi-level design， was analyzed by using one-way ANOVA. In the third category， the χ2 test statistic was constructed for quantitative data that followed the normal distribution. The paper was based on SAS software to test the homogeneity of variances of three examples， and explained the output results. |
| first_indexed | 2024-03-11T10:26:33Z |
| format | Article |
| id | doaj.art-4a86f784dc574da7b37b5f9b01050453 |
| institution | Directory Open Access Journal |
| issn | 1007-3256 |
| language | zho |
| last_indexed | 2024-03-11T10:26:33Z |
| publishDate | 2022-02-01 |
| publisher | Editorial Office of Sichuan Mental Health |
| record_format | Article |
| series | Sichuan jingshen weisheng |
| spelling | doaj.art-4a86f784dc574da7b37b5f9b010504532023-11-15T12:27:57ZzhoEditorial Office of Sichuan Mental HealthSichuan jingshen weisheng1007-32562022-02-01351111510.11886/scjsws202201100051007-3256（2022）01-0011-05How to use analysis of variance correctly——the tests of homogeneity of variance and SAS implementationHu Chunyan0Hu Liangping1Graduate School， Academy of Military Sciences PLA China， Beijing 100850， ChinaGraduate School， Academy of Military Sciences PLA China， Beijing 100850， ChinaThe purpose of the paper was to introduce the test for homoscedasticity and the SAS implementation. The test of homogeneity of variance could be divided into the following three categories， ①analysis of variance directly based on comparison of variances， ②analysis of variance based on mean comparison was adopted for the new data from the variable transformation of the original data， ③the method of the χ2 test was used to analyze the quantitative raw data which followed the normal distribution. In the first category， a test statistic that followed the F distribution was constructed directly based on the variance ratio of the two samples. In the second category， there were a variety of different variable transformation approaches for the original data， and the new data after the transformation， which was viewed as the univariate quantitative data collected from a single-factor with multi-level design， was analyzed by using one-way ANOVA. In the third category， the χ2 test statistic was constructed for quantitative data that followed the normal distribution. The paper was based on SAS software to test the homogeneity of variances of three examples， and explained the output results.http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202201003&flag=1test of homogeneity of varianceanalysis of variancevariable transformationnormal distributionf distribution |
| spellingShingle | Hu Chunyan Hu Liangping How to use analysis of variance correctly——the tests of homogeneity of variance and SAS implementation Sichuan jingshen weisheng test of homogeneity of variance analysis of variance variable transformation normal distribution f distribution |
| title | How to use analysis of variance correctly——the tests of homogeneity of variance and SAS implementation |
| title_full | How to use analysis of variance correctly——the tests of homogeneity of variance and SAS implementation |
| title_fullStr | How to use analysis of variance correctly——the tests of homogeneity of variance and SAS implementation |
| title_full_unstemmed | How to use analysis of variance correctly——the tests of homogeneity of variance and SAS implementation |
| title_short | How to use analysis of variance correctly——the tests of homogeneity of variance and SAS implementation |
| title_sort | how to use analysis of variance correctly the tests of homogeneity of variance and sas implementation |
| topic | test of homogeneity of variance analysis of variance variable transformation normal distribution f distribution |
| url | http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202201003&flag=1 |
| work_keys_str_mv | AT huchunyan howtouseanalysisofvariancecorrectlythetestsofhomogeneityofvarianceandsasimplementation AT huliangping howtouseanalysisofvariancecorrectlythetestsofhomogeneityofvarianceandsasimplementation |