pattern in a few interdependent variables
Dear list members, could You please advise me upon a not-so-multivariate problem? We have run an experiment: we cultivated 10 plant species, each with 28 replicates, we applied two treatments (say, fertilization F and adding the symbionts S) in a fully factorial design (F+S+, F-S+, F+S-, F-S-). We were interested in one plant trait (T1) in response to those treatments, but we also measured trait2 (T2) - size of the plant - as the covariate. We have analyzed the data in an design-based way: T1 ~ T2 * F * S * Species (or something similar) But, it turns out that in S+ treatments, the plants and the species varied a lot both in T1, but also in T2 (the size) and in the level of plant colonization by symbionts. I believe that the relation is not unidirectional, and I would like to see how (and if) species differ in the "symbiont colonisation-size-trait1" interplay. One of my ideas was to take the symbiont colonisation, individual size and trait1 as a multivariate matrix and run redundancy analysis (RDA; or CCA) with Species identity as the canonical (constraining) variable. Another option could be to construct the regression model II for each of the relationships (symbionts~size, size~trait1, symbionts~trait1) and plot the slopes for each of the species. Do you have any other idea how to inspect the patterns? With kind regards, Martin Weiser
Please expect long response time (3d+) - this is because of family reasons