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Table.4 Comparison between generalized linear model (GLM) and generalized additive model (GAM) testing the effects of plumage melanic coloration levels on the variation of monocyte and granulocyte numbers in infected Feral Pigeons (Columba livia) in urban environments

From: Does melanin-based plumage coloration reflect health status of free-living birds in urban environments?

Numbers of monocytes ~ melanic-based coloration

Coefficient

Est.

SE

t-value

P

Sig.

Gaussian GLM with identity link (AIC = 187.93, ΔAIC = 0.67)

 Intercept

7.10

1.566

4.53

 < 0.001

***

 MBC

0.03

0.041

0.75

0.459

ns

GAM (Deviance explained = 8.13%, AIC = 187.26, ΔAIC = 0)

 Intercept

8.03

0.929

8.65

 < 0.001

***

 Smooth term

edf

Ref. df

F

P

Sig.

 Smooth (MBC)

1.64

2.03

0.83

0.458

ns

Numbers of granulocytes ~ melanic-based coloration

Coefficient

Est.

SE

t-value

P

Sig.

Gaussian GLM with identity link (AIC = 235.58, ΔAIC = 0.73)

 Intercept

18.10

3.465

5.22

 < 0.001

***

 MBC

0.01

0.091

0.10

0.925

ns

GAM (Deviance explained = 6.22%, AIC = 234.85, ΔAIC = 0)

 Intercept

18.37

2.055

8.94

 < 0.001

***

 Smooth term

edf

Ref. df

F

P

Sig.

 Smooth (MBC)

1.59

1.97

0.54

0.582

ns

  1. AIC Akaike’s information criterion, ΔAIC difference between the AICs of the tested model compared to the model with the best fit, Est. estimate, SE standard error, P probability value, Sig. statistical significance, ***P < 0.001, ns: P > 0.05, Edf estimated degrees of freedom, Ref. df: reference degrees of freedom, F: F-statistics