L-shaped data, GLM(M) and double constrained correspondence analysis
Cajo ter Braak
10.6084/m9.figshare.5798181.v1
https://figshare.com/articles/presentation/L-shaped_data_GLM_M_and_double_constrained_correspondence_analysis/5798181
Presentation summarizing 5 papers on trait-environment relations in ecology, L-shaped data or bipartite graphs. It starts with a description of the data, a simple loglinear (GLM) model and the Rao score test on interaction. This leads to the Legendre's fourth-corner correlation and, for multi-trait, multi-environment problems, double constrained correspondence analysis, which then enables testing and selection of the important trait and environmental variables. A comparison is made with RLQ and double constrained principal component analysis. An alternative title: from fourth-corner correlation to double constrained correspondence analysis and their relation with GLM(M) models. The pptx and pdf files contain the same information.
2018-01-18 14:31:32
fourth-corner correlation
trait-environment relations
canonical correlation analysis
canonical correspondence analysis
constrained ordination
RLQ
trait-based community ecology
biplot
quadriplot
correspondence analysis
Rao score test
community-weighted means
species-niche centroids
inter-set correlation
intra-set correlation
transition formulae
singular value decompostion
Ecology not elsewhere classified
Computational Biology
Applied Statistics
Biostatistics