Procrustean co-inertia analysis for the linking of multivariate datasets

被引:42
作者
Dray, S [1 ]
Chessel, D [1 ]
Thioulouse, J [1 ]
机构
[1] Univ Lyon 1, CNRS, UMR 5558, Lab Biometrie & Biol Evolut, F-69622 Villeurbanne, France
来源
ECOSCIENCE | 2003年 / 10卷 / 01期
关键词
co-inertia; distance matrix; graphical representation; inter-battery analysis; matrix concordance; procrustes analysis; two-blocks partial least-squares;
D O I
10.1080/11956860.2003.11682757
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 [生物信息与计算生物学]; 0713 [生态学];
摘要
Procrustes analysis is a method for fitting a set of points to another. These two sets of points are often defined by the measurements of two sets of variables for the same individuals (e.g., measurements of species abundances and environmental variables at the same sites). We present a solution for graphical representation of the results of procrustes analysis when the number of variables in each of the two datasets exceeds two. This method is named procrustean co-inertia analysis because it is based on the joint use of procrustes analysis and co-inertia analysis, which is a coupling method for finding linear combinations of two sets of variables of maximal covariance. It provides better graphical representation of the concordance between the two datasets than classical co-inertia analysis. Moreover, distance matrices can be introduced in the analysis to improve its ecological meaning. Lastly, a randomization test equivalent to-PROTEST is proposed as an alternative to the Mantel test. An ecological example is presented to illustrate the method.
引用
收藏
页码:110 / 119
页数:10
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