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Table 2 Wald F-test for genotype fixed effects in a linear mixed model analysis (LMM)

From: Genetic variation for tolerance to the downy mildew pathogen Peronospora variabilis in genetic resources of quinoa (Chenopodium quinoa)

Model

Data transformation

Control variety included

LMM analysis

d.f.

p-value

Mean

\( {\boldsymbol{\sigma}}_{\boldsymbol{G}}^{\mathbf{2}} \)

\( \overline{{\boldsymbol{H}}^{\mathbf{2}}} \)

F-value

s.e.d.

Trait: Severity of infection

 1

Untransformed

Yes

3.573

131

1.18 × 10−18

0.12

0.02

0.72

 2

 

No

23.95

130

3.56 × 10−93

0.12

0.03

0.77

 3

Arcsine root

Yes

3.79

131

3.35 × 10−20

0.14

0.03

0.74

 4

 

No

28.95

130

8.41 × 10−103

0.14

0.03

0.78

 5

Logit

Yes

3.75

131

6.30 × 10−20

0.58

0.46

0.73

 6

 

No

30.08

130

5.59 × 10−104

0.59

0.61

0.77

Trait: Sporulation

 1

Untransformed

Yes

4.47

131

4.39 × 10−25

0.16

0.04

0.78

 2

 

No

8.37

130

1.55 × 10−44

0.17

0.05

0.78

 3

Arcsine root

Yes

4.89

131

7.30 × 10−28

0.20

0.07

0.79

 4

 

No

11.35

130

1.13 × 10−57

0.20

0.08

0.80

 5

Logit

Yes

4.96

131

2.47 × 10−28

0.87

1.51

0.80

 6

 

No

11.43

130

4.67 × 10−58

0.91

1.85

0.82

Trait: Incidence

  

Yes

1.62

131

0.0003

0.55

0.10

0.4

  

No

2.39

130

<0.0001

0.48

0.08

0.4

  1. Mean standard error of the difference (s.e.d.), genetic variance (\( {\sigma}_G^2 \)) and heritability (\( \overline{H^2} \)) estimates from were obtained from a linear mixed model for the traits severity and sporulation, and from a generalized linear mixed model for the trait incidence