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2.4 Generalisation to dissimilarities

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 2: Tests of homogeneity of disp...

Of course, in many applications that we will encounter (especially in the case of community data)...

Updated 2 years ago by Arden

2.3 Multivariate Levene’s test (Bumpus’ sparrows)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 2: Tests of homogeneity of disp...

proposed doing an analysis of variance (ANOVA) on the absolute values of deviations of observati...

Updated 2 years ago by Arden

2.2 Rationale

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 2: Tests of homogeneity of disp...

There are various reasons why one might wish to perform an explicit test of the null hypothesis o...

Updated 2 years ago by Arden

1.38 Environmental impacts

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

Some further comments are appropriate here regarding experimental designs to detect environmental...

Updated 2 years ago by Arden

1.37 Asymmetrical designs (Mediterranean molluscs)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

Although a previous section has been devoted to the analysis of unbalanced designs, there are som...

Updated 2 years ago by Arden

1.36 Linear combinations of mean squares (NZ fish assemblages)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

Several aspects of the above analysis demonstrate its affinity with unbalanced designs. Note that...

Updated 2 years ago by Arden

1.35 Designs with covariates (Holdfast invertebrates, revisited)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

A topic that is related (perhaps surprisingly) to the topic of unbalanced designs is the analysis...

Updated 2 years ago by Arden

1.34 Types of sums of squares (Birds from Borneo)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

When the design is unbalanced, there will be a number of different ways to do the partitioning, w...

Updated 2 years ago by Arden

1.32 Repeated measures (Victorian avifauna, revisited)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

While randomised blocks, latin squares and split-plot designs lack spatial replication, a special...

Updated 2 years ago by Arden

1.31 Split-plot designs (Woodstock plants)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

Another special case of a design lacking appropriate replication is known as a split-plot design....

Updated 2 years ago by Arden

1.30 Designs that lack replication (Plankton net study)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

A topic related to the issue of pooling is the issue of designs that lack replication. Familiar e...

Updated 2 years ago by Arden

1.29 Pooling or excluding terms

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

For a given design file, PERMANOVA, by default, will do a partitioning according to all terms tha...

Updated 2 years ago by Arden

1.28 Estimating components of variation

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

The EMS’s also yield another important insight: they provide a direct method to get unbiased esti...

Updated 2 years ago by Arden

1.27 Nested design (Holdfast invertebrates)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

We have seen how a crossed design is identifiable by virtue of every level of one factor being pr...

Updated 2 years ago by Arden

1.24 Exchangeable units

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

The denominator mean square of the pseudo-F ratio for any particular term in the analysis is impo...

Updated 2 years ago by Arden

1.25 Inference space and power

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

It is worthwhile pausing to consider how the above tests correspond to meaningful hypotheses for ...

Updated 2 years ago by Arden

1.6 Test by permutation

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

An appropriate distribution for the pseudo-F statistic under a true null hypothesis is obtained b...

Updated 2 years ago by Arden

1.23 Constructing $F$ from EMS

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

The determination of the EMS’s gives a direct indication of how the pseudo-F ratio should be cons...

Updated 2 years ago by Arden

1.22 Expected mean squares (EMS)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

An important consequence of the choice made for each factor as to whether it be fixed or random i...

Updated 2 years ago by Arden

1.20 Fixed vs random factors (Tasmanian meiofauna)

PERMANOVA+ for PRIMER: Guide to Softwar... Chapter 1: Permutational ANOVA and MANO...

All of the factors considered so far have been fixed, but factors can be either fixed or random. ...

Updated 2 years ago by Arden