The variance sum law and its implications for modelling
Basic understanding of linear model is primordial in quantitative psychology and modelling. As an advanced topic for students in psychology, modelling data according to given sets of parameters can be challenging. In this paper, we address the variance sum law which states how to combine variance of...
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Université d'Ottawa
2021-06-01
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| Series: | Tutorials in Quantitative Methods for Psychology |
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| Online Access: | https://www.tqmp.org/RegularArticles/vol17-2/p080/p080.pdf |
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doaj-d2872faaea5141888775f77545d8e7642021-06-22T12:42:32ZengUniversité d'OttawaTutorials in Quantitative Methods for Psychology1913-41262021-06-01172808610.20982/tqmp.17.2.p080The variance sum law and its implications for modellingCaron, Pier-OlivierLemardelet, LauraBasic understanding of linear model is primordial in quantitative psychology and modelling. As an advanced topic for students in psychology, modelling data according to given sets of parameters can be challenging. In this paper, we address the variance sum law which states how to combine variance of variables into a new one. The paper uses a progressive pedagogical approach, presenting step by step the statistical prerequisites. An example with code in R is offered to support the presentation. Some matrix algebra is gently introduced to stimulate readers to more advanced topics. We hope this paper can stimulate research in data modelling and invite newcomers to the fields.https://www.tqmp.org/RegularArticles/vol17-2/p080/p080.pdfstatisticsvariancemodellingcomputationr |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Caron, Pier-Olivier Lemardelet, Laura |
| spellingShingle |
Caron, Pier-Olivier Lemardelet, Laura The variance sum law and its implications for modelling Tutorials in Quantitative Methods for Psychology statistics variance modelling computation r |
| author_facet |
Caron, Pier-Olivier Lemardelet, Laura |
| author_sort |
Caron, Pier-Olivier |
| title |
The variance sum law and its implications for modelling |
| title_short |
The variance sum law and its implications for modelling |
| title_full |
The variance sum law and its implications for modelling |
| title_fullStr |
The variance sum law and its implications for modelling |
| title_full_unstemmed |
The variance sum law and its implications for modelling |
| title_sort |
variance sum law and its implications for modelling |
| publisher |
Université d'Ottawa |
| series |
Tutorials in Quantitative Methods for Psychology |
| issn |
1913-4126 |
| publishDate |
2021-06-01 |
| description |
Basic understanding of linear model is primordial in quantitative psychology and modelling. As an advanced topic for students in psychology, modelling data according to given sets of parameters can be challenging. In this paper, we address the variance sum law which states how to combine variance of variables into a new one. The paper uses a progressive pedagogical approach, presenting step by step the statistical prerequisites. An example with code in R is offered to support the presentation. Some matrix algebra is gently introduced to stimulate readers to more advanced topics. We hope this paper can stimulate research in data modelling and invite newcomers to the fields. |
| topic |
statistics variance modelling computation r |
| url |
https://www.tqmp.org/RegularArticles/vol17-2/p080/p080.pdf |
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