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Table 3 Posterior means and 95 % posterior probability intervals reported as (2.5, 97.5th) posterior percentiles of dispersion parameters estimated for tick counts of Hereford and Braford cattle by different models

From: Genotype by environment interaction for tick resistance of Hereford and Braford beef cattle using reaction norm models

Parameter

Models

M1

M2

M3

M4

M5

M6

σ 2a

0.019

0.019

0.020

0.020

0.018

0.019

(0.011, 0.026)

(0.012, 0.025)

(0.013, 0.026)

(0.013, 0.026)

(0.011, 0.025)

(0.013, 0.025)

σ 2b

N/A

0.032

0.046

0.036

N/A

0.036

(0.006, 0.074)

(0.011, 0.094)

(0.008, 0.087)

 

(0.009, 0.069)

σ 2c

0.010

0.008

0.008

0.007

0.010

0.008

(0.003, 0.018)

(0.003, 0.014)

(0.003, 0.015)

(0.002, 0.014)

(0.003, 0.017)

(0.003, 0.015)

σ 2d

N/A

0.063

0.053

0.084

N/A

0.04

(0.022, 0.098)

(0.009, 0.093)

(0.031, 0.123)

 

(0.009, 0.075)

rab

N/A

−0.23

−0.19

−0.14

N/A

−0.28

  

(−0.69, 0.42)

(−0.65, 0.43)

(−0.65, 0.55)

 

(−0.73, 0.40)

rcd

N/A

−0.09

−0.07

−0.11

N/A

0.33

  

(−0.65, 0.62)

(−0.71, 0.74)

(−0.69, 0.60)

  

σ 2w

0.099

N/A

0.097

0.101

N/A

(–0.47, 0.88)

(0.079, 0.126)

(0.076, 0.123)

(0.080, 0.129)

N/A

σ 2e

0.072

0.063

0.064

0.062

0.070

0.064

(0.069, 0.074)

(0.060, 0.065)

(0.061, 0.066)

(0.060, 0.065)

(0.067, 0.072)

(0.061, 0.067)

 

M7

M8

M9

M10

M11

M12

σ 2a

0.018

0.025

0.021

0.020

0.021

0.022

(0.012, 0.025)

(0.019, 0.030)

(0.013, 0.028)

(0.014, 0.027)

(0.014, 0.028)

(0.014, 0.028)

σ 2b

0.038

0.046

N/A

0.031

0.035

0.046

(0.013, 0.065)

(0.021, 0.072)

 

(0.009, 0.057)

(0.010, 0.063)

(0.009, 0.098)

σ 2c

0.009

0.006

0.010

0.010

0.009

0.009

(0.004, 0.015)

(0.002, 0.010)

(0.004, 0.017)

(0.004, 0.016)

(0.003, 0.016)

(0.003, 0.016)

σ 2d

0.023

0.015

N/A

0.021

0.020

0.055

(0.005, 0.051)

(0.003, 0.039)

 

(0.004, 0.049)

(0.004, 0.050)

(0.006, 0.106)

rab

−0.16

−0.45

N/A

−0.28

−0.17

−0.07

(−0.08, 0.94)

(−0.68, −0.18)

 

(−0.67, 0.29)

(−0.61, 0.45)

(−0.57, 0.58)

rcd

0.63

0.35

N/A

0.53

0.39

0.30

(−0.08, 0.94)

(−0.51, 0.87)

 

(−0.36, 0.93)

(−0.58, 0.91)

(−0.50, 0.89)

σ 2w

0.097

0.113

0.098

N/A

N/A

0.097

(0.076, 0.123)

(0.088, 0.144)

(0.077, 0.125)

  

(0.076, 0.124)

σ 2e

0.066

0.071

0.074

0.068

0.069

0.065

(0.063, 0.068)

(0.068, 0.074)

(0.059, 0.099)

(0.055, 0.089)

(0.056, 0.089)

(0.053, 0.085)

  1. σ 2 a reaction norm intercept genetic variance; σ 2 b reaction norm slope genetic variance; σ 2 c reaction norm intercept permanent environment variance; σ 2 d reaction norm slope permanent environment variance; r ab genetic correlation between intercept and slope of the reaction norm; r cd permanent environment correlation between intercept and slope of the reaction norm; σ 2 w  contemporary group effect (environmental) variance; σ 2 e residual variance
  2. M 1 linear animal model; M 2 two-step linear reaction norm model; M 3 two-step linear reaction norm model with the random contemporary group (CG) effect being re-estimated; M 4 one-step linear reaction norm model with homoscedastic residual variance; M 5 linear animal model with exponential function on heteroscedastic residual variance; M 6 two-step linear reaction norm model with exponential function on heteroscedastic residual variance; M 7 two-step linear reaction norm model with exponential function on heteroscedastic residual variance and with the random CG effect being re-estimated; M 8 one-step linear reaction norm model with exponential function on heteroscedastic residual variance; M 9 linear animal model with classification function grouped in discrete subclasses on heteroscedastic residual variance; M 10 two-step linear reaction norm model with classification function grouped in discrete subclasses on heteroscedastic residual variance; M 11 two-step linear reaction norm model with classification function grouped in discrete subclasses on heteroscedastic residual variance and the random CG effect being re-estimated; M 12 one-step linear reaction norm model with classification function grouped in discrete subclasses on heteroscedastic residual variance; N/A not applicable
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Genetics Selection Evolution

ISSN: 1297-9686