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Data for The correlation space of Gaussian latent tree models and model selection without fitting
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Knight, Chris G. (2016) Data for The correlation space of Gaussian latent tree models and model selection without fitting. [Dataset]
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yeastdata.zip - Other Available under License Creative Commons: Attribution-Noncommercial-Share Alike 4.0. Download (4Mb) |
Official URL: http://wrap.warwick.ac.uk/80425
Abstract
We provide a complete description of possible distributions consistent with any Gaussian latent tree model. This description consists of polynomial equations and inequalities involving covariances between the observed variables. Testing inequality constraints can be done using the inverse Wishart distribution and this leads to simple preliminary assessment of tree-compatibility. To test equality constraints we employ general techniques of tetrad analyses. This approach is effective even for small sample sizes and can be easily adjusted to test either entire models or just particular macrostructures of a tree. Our methods are simple to implement and do not require fitting of the model. The versatility of the techniques is illustrated by performing exploratory and confirmatory tetrad analyses in linguistic and biological settings respectively.
| Item Type: | Dataset | |||||||||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | |||||||||||||||
| Type of Data: | Growth data for 7 species of yeast in 96 different environments | |||||||||||||||
| Library of Congress Subject Headings (LCSH): | Gaussian distribution, Latent variables | |||||||||||||||
| Publisher: | University of Warwick, Statistics | |||||||||||||||
| Official Date: | 28 July 2016 | |||||||||||||||
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| Status: | Not Peer Reviewed | |||||||||||||||
| Publication Status: | Published | |||||||||||||||
| Media of Output (format): | .txt | |||||||||||||||
| Access rights to Published version: | Open Access (Creative Commons) | |||||||||||||||
| Copyright Holders: | Please contact Chris.Knight@manchester.ac.uk | |||||||||||||||
| Description: | Optical density of yeast species when observed in various environments. Key: ‘grotreatment’ is one of 96 environments, ‘pretreatment’ is ‘None’ in all cases, ‘Well’ indicates the spatial layout, ‘time_h' is hours of growth and ‘value’ is the optical density (which has a different baseline for each environment). |
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