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Table 3 Summary of statistical results (and associated Test numbers as identified in the Results section) for analyses of bryozoan hosts and effects of infections on hosts and patterns of covert infections. Statistical results presented for generalised linear modelling (GLM) and generalised linear mixed modelling (GLMM) are presented as Likelihood Ratio Test (LRT) results with the test statistic as D

From: Persistence, impacts and environmental drivers of covert infections in invertebrate hosts

Focus

Test

Statistical test (error distribution)

Test statistica

df

P

Statistical analysis

Bryozoan hosts

A1

GLM (Quasi-Poisson)

80.683

1

< 0.001

Live colony size varies over time in all three rivers

A2

GLM (Binomial)

498.68

2

< 0.001

Proportion of statoblast-producing colonies varies amongst rivers

Covert infections

B1

GLM (Binomial)

82.826

2

< 0.001

Proportions vary between rivers

B2

GLM (Binomial)

22.486

3

< 0.001

Proportions vary over time within rivers

B3

GLM (Binomial)

40.248

6

< 0.001

Proportions vary amongst roots within rivers

B4

GLMM (Binomial) Random structure: River/Root/Trip

9.777

1

0.002

Less likely in larger, statoblast-producing colonies

B5

GLMM (Binomial) Random structure: River/Root/Trip

4.740

1

0.029

More likely in conditions of low productivity, low temperature and high dissolved oxygen in small colonies not producing statoblasts

B6

GLMM (Gaussian) Random structure: River/Root/Trip

8.194

1

0.004

High infection severity more likely in conditions of low productivity, low temperature and high dissolved oxygen

B7

GLM (Gaussian)

5.444

1

0.007

Infection severity likely to be reduced in statoblast-producing colonies

B8

GLM (Gaussian)

2.539

1

0.042

Infection intensity likely to be reduced in statoblast-producing colonies

B9

GLM (Gaussian)

0.434

1

0.401

Infection intensity not influenced by colony size

  1. aThe test statistics for Chi-square tests and GLMMs with a binomial error distribution are χ 2 values