Covariance analysis for temporal data, with applications to DNA modelling
Covariance analysis for temporal data, with applications to DNA modelling
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DOI：
10.1002/sta4.149
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发表时间：
2017
期刊：
影响因子：
1.7
通讯作者：
I. Dryden;Blake Hill;Hao Wang;C. Laughton
中科院分区：
文献类型：
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作者：
I. Dryden;Blake Hill;Hao Wang;C. Laughton
我们介绍了分析随时间推移收集的地标数据的平均大小和形状和协方差矩阵的方法。受DNA损伤研究的启发，我们研究了一些基于排列的检验，用于研究随时间演变的点集的平均值结构和大小和形状的变异性/协方差的显著差异。协方差矩阵检验利用最近引入的一些度量来比较协方差矩阵。我们证明了测试在各种模拟研究中具有正确的显著性水平，并且我们还调查了测试的相对功率。最后，我们将这些程序应用于DNA数据集，为不同类型的DNA损伤提供实用的见解。版权所有© 2017约翰威利父子有限公司
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 that 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. Copyright © 2017 John Wiley & Sons, Ltd.