How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the balanced incomplete block design
The purpose of this paper was to introduce the model， calculation formulas and the SAS implementation of the analysis of variance for the quantitative data with balanced incomplete block design. In the calculation， two test statistics were involved， namely FA and FB. Among them， the subscript "...
| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Sichuan Mental Health
2022-04-01
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| Series: | Sichuan jingshen weisheng |
| Subjects: | |
| Online Access: | http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202202002&flag=1 |
| _version_ | 1797627628979486720 |
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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 paper was to introduce the model， calculation formulas and the SAS implementation of the analysis of variance for the quantitative data with balanced incomplete block design. In the calculation， two test statistics were involved， namely FA and FB. Among them， the subscript "A" represented the experimental factor， and the subscript "B" represented the block factor B （i.e.， the important non-experimental factor）. In general， it was assumed that there was no or negligible interaction between the two factors in a balanced incomplete block design， so there was no need to evaluate whether the interaction term was statistically significant. Therefore， it was not necessary to do repeated experiments under each combination of two factors. With the help of SAS software， this paper conducted the analysis of variance for the quantitative data with balanced incomplete block design on two examples， and presented the calculation results and made the statistical and professional conclusions. |
| first_indexed | 2024-03-11T10:27:01Z |
| format | Article |
| id | doaj.art-cc4317d6acce475e8701564c0d9829f2 |
| institution | Directory Open Access Journal |
| issn | 1007-3256 |
| language | zho |
| last_indexed | 2024-03-11T10:27:01Z |
| publishDate | 2022-04-01 |
| publisher | Editorial Office of Sichuan Mental Health |
| record_format | Article |
| series | Sichuan jingshen weisheng |
| spelling | doaj.art-cc4317d6acce475e8701564c0d9829f22023-11-15T12:27:58ZzhoEditorial Office of Sichuan Mental HealthSichuan jingshen weisheng1007-32562022-04-0135210310710.11886/scjsws202203100021007-3256（2022）02-0103-05How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the balanced incomplete block designHu 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 paper was to introduce the model， calculation formulas and the SAS implementation of the analysis of variance for the quantitative data with balanced incomplete block design. In the calculation， two test statistics were involved， namely FA and FB. Among them， the subscript "A" represented the experimental factor， and the subscript "B" represented the block factor B （i.e.， the important non-experimental factor）. In general， it was assumed that there was no or negligible interaction between the two factors in a balanced incomplete block design， so there was no need to evaluate whether the interaction term was statistically significant. Therefore， it was not necessary to do repeated experiments under each combination of two factors. With the help of SAS software， this paper conducted the analysis of variance for the quantitative data with balanced incomplete block design on two examples， and presented the calculation results and made the statistical and professional conclusions.http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202202002&flag=1analysis of variancef testquantitative datadesign typebalanced incomplete block designinteraction |
| spellingShingle | Hu Chunyan Hu Liangping How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the balanced incomplete block design Sichuan jingshen weisheng analysis of variance f test quantitative data design type balanced incomplete block design interaction |
| title | How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the balanced incomplete block design |
| title_full | How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the balanced incomplete block design |
| title_fullStr | How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the balanced incomplete block design |
| title_full_unstemmed | How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the balanced incomplete block design |
| title_short | How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the balanced incomplete block design |
| title_sort | how to use analysis of variance correctly an analysis of variance for the univariate quantitative data collected from the balanced incomplete block design |
| topic | analysis of variance f test quantitative data design type balanced incomplete block design interaction |
| url | http://www.psychjm.net.cn/scjswszzen/ch/reader/view_abstract.aspx?file_no=202202002&flag=1 |
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