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