Putting Things in Order: A Critique of Detrended Correspondence Analysis
Putting Things in Order: A Critique of Detrended Correspondence Analysis
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整理事物：对去趋势对应分析的批判
DOI：
--
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发表时间：
1987
影响因子：
2.9
通讯作者：
James Rohlf
中科院分区：
文献类型：
--
作者：
Scott;Ferson;F.;James Rohlf
排序方法是多变量统计技术，旨在根据每个实体得分变量的相似性或差异对各个实体进行排序。这些方法，其中大部分是基于线性模型理论，往往不能正确地排序实体，因为观察变量之间的非线性关系。在简单的假设下，多维变量空间中实体的联合分布会产生一个弯曲的结构，在心理学中称为circumplex，在考古学中称为马蹄铁，在生态学中称为拱门。我们回顾了这种结构形成的原因，并指出传统的排序方法解决这种结构的数据的局限性。我们认为，去趋势对应分析，虽然被设计为一个新的，改进的排序方法，是没有更好的，也许比传统的方法更糟。所有方法都受到数据曲率和缩放的影响。在开发出更有效的排序方法之前，我们建议在二维中报告未缩放的拱，即使它是一维形式。
Methods of ordination are multivariate statistical techniques designed to order individual entities on the basis of the similarities or differences for variables scored for each entity. These methods, most of which are based on linear-model theory, often fail to order entities correctly because of the nonlinear relationships among the observed variables. Under simple assumptions, the joint distribution of entities viewed in multidimensional variable space results in a curved structure that is called the circumplex in psychology, the horseshoe in archaeology, and the arch in ecology. We review the reasons for the formation of this structure and point out the limitations of traditional ordination methods for resolving data with this structure. We argue that detrended correspondence analysis, although designed as a new, improved ordination method, is no better and perhaps worse than traditional methods. All methods are influenced by data curvature and scaling. Until more-effective ordination methods can be developed, we recommend reporting the arch unscaled in two dimensions, even though it is a one-dimensional form.