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10.2 Examples
Multivariate examples Nutrient-enrichment experiment In the soft-bottom mesocosms at Solbergstr...
9.4 Recommendations
The transformation sequence in a multivariate analysis, corresponding to a progressive downweight...
9.3 Multivariate case
There being no necessity to transform to attain distributional properties, transformations play a...
9.1 Introduction
There are two distinct roles for transformations in community analyses: a) to validate statistica...
7.9 Example: Tasmanian meiofauna
Another clear generalisation is to a 2-way rather than 1-way layout, illustrated by the 16 meiofa...
7.7 Example: Ekofisk oil-field macrofauna
The 39 sites sampled for benthic infauna at different distances from an oil-field in the N Sea we...
7.4 Shade plots
An alternative to line plots, and a technique that can often be even more useful, in terms of the...
5.1 General description
Key references Method: , CAP is a routine for performing canonical analysis of principal co...
5.9 Caveats on using CAP (Tikus Island corals)
When using the CAP routine, it should come as no surprise that the hypothesis (usually) is eviden...
5.2 Rationale (Flea-beetles)
In some cases, we may know that there are differences among some pre-defined groups (for example,...
4.1 General description
Key references Method:, Permutation methods: , , , DISTLM is a routine for analysing and ...
4.9 Cautionary notes
Before proceeding, a few cautionary notes are appropriate with respect to building models. First,...
3.1 General description
Key references Method: , PCO is a routine for performing principal coordinates analysis () ...
2.1 General description
Key reference Method: PERMDISP is a routine for testing the homogeneity of multivariate dis...
1.1 General description
Key references Method: , Permutation techniques: , PERMANOVA is a routine for testing the...
2.5 $P$-values by permutation
The other hurdle that must be cleared is to recognise that, in line with the philosophy of all of...
2.3 Multivariate Levene’s test (Bumpus’ sparrows)
proposed doing an analysis of variance (ANOVA) on the absolute values of deviations of observati...
1.24 Exchangeable units
The denominator mean square of the pseudo-F ratio for any particular term in the analysis is impo...
1.15 Interpreting interactions
What do we mean by an “interaction” between two factors in multivariate space? Recall that for a ...
1.9 Creating a design file
We shall formally test the hypothesis of no differences in community structure among the four gro...