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Table 4 Covariance ratio for the variance–covariance matrix of estimated contemporary group fixed effects for three models and two relationship matrices (\(\mathbf{A}\) and \(\mathbf{H}\))

From: Estimation of genetic connectedness diagnostics based on prediction errors without the prediction error variance–covariance matrix

 

\({Var}(\hat{{\varvec{\upbeta }}})\)

Model 1

Model 2

Model 3

\(\mathbf{A}\)

\({Var}(\hat{{\varvec{\upbeta }}})^{-1}\)

 Model 1

1

2.462

210.041

 Model 2

0.406

1

85.239

 Model 3

0.005

0.001

1

\(\mathbf{H}\)

\({Var}(\hat{{\varvec{\upbeta }}})^{-1}\)

 Model 1

1

2.213

166.744

 Model 2

0.452

1

75.354

 Model 3

0.006

0.013

1

  1. Covariance ratio is defined as \(\det ({Var}(\hat{{\varvec{\upbeta }}})_{\text {A}} {Var}(\hat{{\varvec{\upbeta }}})_{\text {B}}^{-1})\) where A and B represent nested models. The model indicated in the column heading is A, the model in the row heading is B