Covariance analysis for temporal data, with applications to DNA modelling
We introduce methodology for analysing the mean size-and-shape and covariance matrix of landmark data that are collected over time. Motivated by a study of DNA damage, we study some permutation based tests for investigating significant differences in the structure of the mean and the variability/cov...
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| Format: | Article |
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Wiley
2017
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| Online Access: | https://eprints.nottingham.ac.uk/42841/ |
| _version_ | 1848796581745131520 |
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| author | Dryden, Ian L. Hill, Blake C. Wang, Hao Laughton, Charles A. |
| author_facet | Dryden, Ian L. Hill, Blake C. Wang, Hao Laughton, Charles A. |
| author_sort | Dryden, Ian L. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We introduce methodology for analysing the mean size-and-shape and covariance matrix of landmark data that are collected over time. Motivated by a study of DNA damage, we study some permutation based tests for investigating significant differences in the structure of the mean and the variability/covariance of size-and-shape of point sets which evolve over time. The covariance matrix tests make use of some recently introduced metrics for comparing covariance matrices. We demonstrate that the tests have the correct significance level in various simulation studies, and we also investigate the relative power of the tests. Finally we apply the procedures to the DNA datasets, providing practical insights into different types of DNA damage. |
| first_indexed | 2025-11-14T19:50:16Z |
| format | Article |
| id | nottingham-42841 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:50:16Z |
| publishDate | 2017 |
| publisher | Wiley |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-428412020-05-04T18:49:31Z https://eprints.nottingham.ac.uk/42841/ Covariance analysis for temporal data, with applications to DNA modelling Dryden, Ian L. Hill, Blake C. Wang, Hao Laughton, Charles A. We introduce methodology for analysing the mean size-and-shape and covariance matrix of landmark data that are collected over time. Motivated by a study of DNA damage, we study some permutation based tests for investigating significant differences in the structure of the mean and the variability/covariance of size-and-shape of point sets which evolve over time. The covariance matrix tests make use of some recently introduced metrics for comparing covariance matrices. We demonstrate that the tests have the correct significance level in various simulation studies, and we also investigate the relative power of the tests. Finally we apply the procedures to the DNA datasets, providing practical insights into different types of DNA damage. Wiley 2017-06-13 Article PeerReviewed Dryden, Ian L., Hill, Blake C., Wang, Hao and Laughton, Charles A. (2017) Covariance analysis for temporal data, with applications to DNA modelling. Stat . ISSN 2049-1573 (In Press) Auto-regressive covariance matrix DNA non-Euclidean non-parametric permutation test size-and-shapes temporal http://onlinelibrary.wiley.com/doi/10.1002/sta4.149/full doi:10.1002/sta4.149 doi:10.1002/sta4.149 |
| spellingShingle | Auto-regressive covariance matrix DNA non-Euclidean non-parametric permutation test size-and-shapes temporal Dryden, Ian L. Hill, Blake C. Wang, Hao Laughton, Charles A. Covariance analysis for temporal data, with applications to DNA modelling |
| title | Covariance analysis for temporal data, with applications to DNA modelling |
| title_full | Covariance analysis for temporal data, with applications to DNA modelling |
| title_fullStr | Covariance analysis for temporal data, with applications to DNA modelling |
| title_full_unstemmed | Covariance analysis for temporal data, with applications to DNA modelling |
| title_short | Covariance analysis for temporal data, with applications to DNA modelling |
| title_sort | covariance analysis for temporal data, with applications to dna modelling |
| topic | Auto-regressive covariance matrix DNA non-Euclidean non-parametric permutation test size-and-shapes temporal |
| url | https://eprints.nottingham.ac.uk/42841/ https://eprints.nottingham.ac.uk/42841/ https://eprints.nottingham.ac.uk/42841/ |