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Table 1 The mean and standard error of posterior distribution of d, a and e

From: Full sib pens of pigs are not suitable to identify variance component of associative effect: a simulation study using Gibbs Sampling

Correlation

(d & a)

Number of breeding animals per Generation

Pen Assignment

Pen size

σ ^ d 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafq4WdmNbaKaadaqhaaWcbaGaemizaqgabaGaeGOmaidaaaaa@3018@

σ ^ d a MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafq4WdmNbaKaadaWgaaWcbaGaemizaqMaemyyaegabeaaaaa@3070@

σ ^ a 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafq4WdmNbaKaadaqhaaWcbaGaemyyaegabaGaeGOmaidaaaaa@3012@

σ ^ e 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafq4WdmNbaKaadaqhaaWcbaGaemyzaugabaGaeGOmaidaaaaa@301A@

-0.5

( σ da = -140)

162 a

Random

5

1257 (36.66)

-133 (6.69)

58 (2.43)

3721 (25.53)

   

10

1239 (29.59)

-133 (5.19)

62 (1.46)

3699 (21.69)

  

Mixed sib

5

1250 (35.65)

-128 (6.64)

56* (2.27)

3706 (25.99)

   

10

1261 (31.17)

-139 (5.56)

62 (1.33)

3689 (25.74)

  

Full sib

5

850** (50.72)

-60** (9.35)

43**(2.37)

3944**(30.92)

   

10

710**(58.63)

-70**(9.65)

51**(1.96)

4031**(41.47)

 

324 b

Random

5

1245 (19.78)

-133 (3.08)

60 (1.68)

3715 (15.80)

   

10

1248 (16.14)

-139 (3.76)

63 (1.05)

3698 (15.85)

  

Mixed sib

5

1235 (20.77)

-143 (4.55)

63 (1.85)

3694 (16.80)

   

10

1228 (21.44)

-141 (3.45)

63 (0.94)

3703 (18.28)

  

Full sib

5

1054** (62.21)

-92**(11.74)

46**(3.35)

3842**(42.21)

   

10

933** (88.04)

-102**(12.23)

57*(2.17)

3896**(54.36)

0.1

( σ da = 27.95)

162 a

Random

5

1224 (24.39)

34 (4.54)

58* (1.99)

3738* (19.61)

   

10

1256 (28.39)

27 (5.68)

61 (1.69)

3694 (20.39)

  

Mixed sib

5

1239 (27.44)

29 (4.15)

60 (2.17)

3713 (21.97)

   

10

1166* (31.58)

28 (4.10)

62 (1.68)

3763**(20.99)

  

Full sib

5

996** (55.67)

69** (4.94)

56** (2.88)

3833** (26.80)

   

10

917** (49.94)

72** (5.43)

56** (1.25)

3889** (29.92)

 

324 b

Random

5

1277 (23.43)

32 (4.02)

61 (1.90)

3688 (13.70)

   

10

1223 (19.12)

24 (3.51)

63 (1.17)

3712 (13.76)

  

Mixed sib

5

1268 (24.29)

30 (3.88)

58 (1.73)

3697 (18.06)

   

10

1253 (22.33)

32 (3.42)

62 (1.01)

3694 (17.85)

  

Full sib

5

1170 (55.26)

62** (7.67)

51** (3.33)

3767** (29.39)

   

10

940** (54.06)

65** (8.20)

57** (1.68)

3891** (36.79)

0.5

( σ da = 140)

162 a

Random

5

1266 (27.38)

146 (4.88)

63 (2.17)

3689 (18.15)

   

10

1256 (32.15)

144 (4.03)

64 (1.68)

3685 (21.26)

  

Mixed sib

5

1204 (33.05)

134 (4.42)

60 (2.33)

3732 (25.91)

   

10

1209 (25.53)

138 (4.64)

62 (1.23)

3728 (21.33)

  

Full sib

5

1256 (60.26)

133 (5.33)

72* (3.58)

3653 (30.03)

   

10

1137** (42.95)

141** (4.71)

66** (1.81)

3748** (25.16)

 

324 b

Random

5

1269 (17.75)

140 (3.46)

62 (1.68)

3693 (12.83)

   

10

1229 (20.36)

142 (2.94)

62 (1.18)

3718 (16.22)

  

Mixed sib

5

1224 (20.01)

139 (3.44)

63 (1.34)

3709 (11.61)

   

10

1247 (21.94)

136 (3.13)

63 (0.76)

3701 (19.26)

  

Full sib

5

1259 (34.83)

142 (3.15)

63 (2.25)

3668 (21.39)

   

10

1156* (37.24)

141 (3.84)

64 (0.91)

3730 (21.42)

  1. *:p-value < 0.05, **:p-value < 0.01.
  2. d: genetic direct effect; a: genetic associative effect; e: random residual.
  3. a: 162 breeding animals represent 150 sows and 12 boars.
  4. b: 324 breeding animals represent 300 sows and 24 boars.
  5. Values used in the simulation: σ d 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeq4Wdm3aa0baaSqaaiabdsgaKbqaaiabikdaYaaaaaa@3008@ = 1250, σ a 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeq4Wdm3aa0baaSqaaiabdggaHbqaaiabikdaYaaaaaa@3002@ = 62.5, σ e 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeq4Wdm3aa0baaSqaaiabdwgaLbqaaiabikdaYaaaaaa@300A@ = 3687, σ da = -140, 27.95 or 140.