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Table 3 Average posterior inference on degrees of freedom from ten replicates using the bivariate Student's-t (BSt) fitted model.

From: Use of linear mixed models for genetic evaluation of gestation length and birth weight allowing for heavy-tailed residual effects

  

BSt Fitted Model2

True Parameters

True Model1

PM ± SE3

95% PPI4

ESS5

ν = 4

BSt-4

4.1 ± 0.06

[3.6, 4.6]

1,594

ν = 12

BSt-12

13.3 ± 1.18

[9.8, 19.1]

294

ν = ∞

BN-∞

2377 ± 654

[2140, 3365]

14

  1. 1Used to simulate data
  2. 2Used in analysis of simulated data
  3. 3Posterior mean ± Standard Error
  4. 495% equal-tailed posterior probability interval based on the 2.5thand 97.5thpercentiles of the posterior density
  5. 5Effective sample size