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Table 4 Averaged QTL position, mean curve parameters, log-likelihood values, maximum log-likelihood ratios (maxLR), entropy and quadratic losses and their standard errors (given in parentheses) for two QTL genotypes in a backcross population based on 100 simulation replicates (C1 with n = 400, increased irradiance and temperature levels, and σ2 = 1, 2).

From: Functional mapping of reaction norms to multiple environmental signals through nonparametric covariance estimation

  

QTL

QTL genotype 1

QTL genotype 2

log-likelihood

   

Covariance

σ 2

Location

α ^ 1

P ^ m 1 ( 20 )

θ ^ 1

α ^ 2

P ^ m 2 ( 20 )

θ ^ 2

H 0

H 1

max LR

L E

L Q

ΣAR(1)

1

72.16

0.02

2.04

0.90

0.01

1.48

0.88

-1278

-1063

430.01

223

64090

  

(0.36)

(0.00)

(0.01)

(0.00)

(0.00)

(0.01)

(0.01)

(14.01)

(14.15)

(4.78)

(0.45)

(261.88)

 

2

78.44

0.02

2.15

0.91

0.01

1.48

0.86

-6992

-6876

231.86

222

63923

  

(0.84)

(0.00)

(0.02)

(0.00)

(0.00)

(0.02)

(0.01)

(14.08)

(14.16)

(3.62)

(0.44)

(257.89)

C 1

1

71.76

0.02

2.01

0.90

0.01

1.51

0.89

4913

5068

309.86

0.01

0.31

  

(0.18)

(0.00)

(0.00)

(0.00)

(0.00)

(0.01)

(0.00)

(11.04)

(11.10)

(3.17)

(0.00)

(0.04)

 

2

71.76

0.02

2.01

0.90

0.01

1.52

0.88

-821.08

-743.76

154.64

0.01

0.31

  

(0.24)

(0.00)

(0.01)

(0.00)

(0.00)

(0.01)

(0.01)

(11.10)

(11.12)

(2.22)

(0.00)

(0.04)

N P

1

71.73

0.02

2.01

0.90

0.01

1.51

0.89

5431

5537

212.64

2.34

4.55

  

(0.18)

(0.00)

(0.01)

(0.00)

(0.00)

(0.01)

(0.00)

(11.22)

(11.11)

(2.20)

(0.01)

(0.03)

 

2

72.13

0.02

2.01

0.90

0.01

1.49

0.89

-336

-273

127.37

2.37

4.53

  

(0.34)

(0.00)

(0.01)

(0.00)

(0.00)

(0.01)

(0.01)

(10.44)

(10.42)

(1.72)

(0.01)

(0.03)

 

True:

72.00

0.02

2.00

0.90

0.01

1.50

0.90

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