Basler Lisa, Gerdes Stephan, Wolfer David P, Slomianka Lutz
Division of Functional Neuroanatomy, Institute of Anatomy, University of Zürich, Zürich, Switzerland.
Department of Pulmonology, University Hospital Zürich, Zürich, Switzerland.
Front Neuroanat. 2017 Dec 12;11:123. doi: 10.3389/fnana.2017.00123. eCollection 2017.
Sampling is a critical step in procedures that generate quantitative morphological data in the neurosciences. Samples need to be representative to allow statistical evaluations, and samples need to deliver a precision that makes statistical evaluations not only possible but also meaningful. Sampling generated variability should, e.g., not be able to hide significant group differences from statistical detection if they are present. Estimators of the coefficient of error () have been developed to provide tentative answers to the question if sampling has been "good enough" to provide meaningful statistical outcomes. We tested the performance of the commonly used Gundersen-Jensen estimator, using the layers of the mouse hippocampal dentate gyrus as an example (molecular layer, granule cell layer and hilus). We found that this estimator provided useful estimates of the precision that can be expected from samples of different sizes. For all layers, we found that a smoothness factor () of 0 generally provided better estimates than an of 1. Only for the combined layers, i.e., the entire dentate gyrus, better estimates could be obtained using an of 1. The orientation of the sections impacted on sizes. Frontal (coronal) sections are typically most efficient by providing the smallest s for a given amount of work. Applying the estimator to 3D-reconstructed layers and using very intense sampling, we observed size plots with = 0 to = 1 transitions that should also be expected but are not often observed in real section series. The data we present also allows the reader to approximate the sampling intervals in frontal, horizontal or sagittal sections that provide s of specified sizes for the layers of the mouse dentate gyrus.
在神经科学中生成定量形态学数据的程序里,采样是关键步骤。样本需具有代表性以便进行统计评估,且要具备能使统计评估不仅可行而且有意义的精度。例如,如果存在显著的组间差异,采样产生的变异性不应使其从统计检测中被掩盖。已开发出误差系数()的估计方法,以初步回答采样是否“足够好”从而能提供有意义的统计结果这一问题。我们以小鼠海马齿状回的各层(分子层、颗粒细胞层和齿状回)为例,测试了常用的冈德森 - 詹森估计方法的性能。我们发现该估计方法能对不同大小样本可预期的精度提供有用的估计。对于所有层,我们发现平滑因子()为0时通常比为1时能提供更好的估计。仅对于组合层,即整个齿状回,使用为1时能获得更好的估计。切片的方向会影响大小。冠状(额状)切片通常效率最高,因为在给定工作量下能提供最小的。将该估计方法应用于三维重建层并使用非常密集的采样时,我们观察到大小图中从 = 0到 = 1的转变,这是可以预期的,但在实际切片系列中并不常被观察到。我们给出的数据还能让读者近似得出冠状、水平或矢状切片中的采样间隔,这些间隔能为小鼠齿状回各层提供特定大小的。