Cross-sectional versus longitudinal designs for function estimation, with an application to cerebral cortex development.
Cross-sectional versus longitudinal designs for function estimation, with an application to cerebral cortex development.
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用于功能估计的横截面与纵向设计，及其在大脑皮层发育中的应用。
DOI：
10.1002/sim.7617
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发表时间：
2018
影响因子：
2
通讯作者：
Reiss,PhilipT
中科院分区：
文献类型：
--
作者：
Reiss,PhilipT
受人类大脑皮层发育研究的启发，我们考虑了平均增长轨迹的估计以及横截面和纵向数据的相对优点。我们定义了一类相对效率，比较函数估计的总方差的参数函数估计。这些推广了经典的设计效应，用于估计横截面与纵向数据的标量，并且在某些情况下被证明高于它。转向非参数函数估计，我们发现纵向拟合可能倾向于比横截面拟合具有更高的总方差，但这可能发生，因为前者具有更高的有效自由度，反映出对被估量的细微特征更敏感。这些想法说明了皮质厚度数据从纵向神经影像学研究。
Motivated by studies of the development of the human cerebral cortex, we consider the estimation of a mean growth trajectory and the relative merits of cross‐sectional and longitudinal data for that task. We define a class of relative efficiencies that compare function estimates in terms of aggregate variance of a parametric function estimate. These generalize the classical design effect for estimating a scalar with cross‐sectional versus longitudinal data, and are shown to be bounded above by it in certain cases. Turning to nonparametric function estimation, we find that longitudinal fits may tend to have higher aggregate variance than cross‐sectional ones, but that this may occur because the former have higher effective degrees of freedom reflecting greater sensitivity to subtle features of the estimand. These ideas are illustrated with cortical thickness data from a longitudinal neuroimaging study.