Nonparametric one-way analysis of variance of replicated bivariate spatial point patterns
Nonparametric one-way analysis of variance of replicated bivariate spatial point patterns
复制标题
DOI：
10.1002/bimj.200310010
复制
发表时间：
2004-02-01
影响因子：
1.7
通讯作者：
Everall, IP
中科院分区：
文献类型：
--
作者：
Landau, S;Rabe-Hesketh, S;Everall, IP
神经病理学研究中的一个常见问题是评估组织切片上细胞的空间模式，并比较不同障碍组之间的空间模式。对于单一单元类型，单元位置构成一个单变量的点过程，兴趣集中在空间聚集程度上。对于两种不同的细胞类型，细胞的位置构成了一个双变量的点过程，细胞类型之间的空间相互作用的程度是有意义的。我们讨论了在单向设计中分析单变量和双变量空间点模式的问题，其中已经获得了受试者组的细胞模式。Digger，Lange和Benes(1991)提出了一种对单变量点过程的空间聚集方差进行非参数单向方差分析的自助法。我们扩展了他们的基于复制的方法，允许比较两种细胞类型在组之间的空间相互作用，包括计划的比较(对比)，并根据完全的空间随机性和空间独立性来评估整个组。我们还为每个受试者提供了几个重复的组织切片。我们方法的一个优点是，它可以应用于过程不静止的情况，这是脑组织切片中的一个常见问题，因为神经元排列在皮质层中。我们通过将我们的方法应用于神经病理学研究来说明我们的方法，该研究旨在调查HIV相关性痴呆患者神经元和星形胶质细胞之间的功能关系异常。
A common problem in neuropathological studies is to assess the spatial patterning of cells on tissue sections and to compare spatial patterning between disorder groups. For a single cell type, the cell positions constitute a univariate point process and interest focuses on the degree of spatial aggregation. For two different cell types, the cell positions constitute a bivariate point process and the degree of spatial interaction between the cell types is of interest. We discuss the problem of analysing univariate and bivariate spatial point patterns in the one-way design where cell patterns have been obtained for groups of subjects. A bootstrapping procedure to perform a nonparametric one-way analysis of variance of the spatial aggregation of a univariate point process has been suggested by Diggle, Lange and Benes (1991). We extend their replication-based approach to allow the comparison of the spatial interaction of two cell types between groups, to include planned comparisons (contrasts) and to assess whole groups against complete spatial randomness and spatial independence. We also accommodate several replicate tissue sections per subject. An advantage of our approach is that it can be applied when processes are not stationary, a common problem in brain tissue sections since neurons are arranged in cortical layers. We illustrate our methods by applying them to a neuropathological study to investigate abnormalities in the functional relationship between neurons and astrocytes in HIV associated dementia.