Table 2 Fixed and random effects and residual standard deviation σ of Bayesian linear mixed effects model of association between age and GABA+/Cr, adjusted for voxel gray matter fraction (fGM).

From: “Surviving and Thriving”: evidence for cortical GABA stabilization in cognitively-intact oldest-old adults

Parameter

β

Est. Error

95% CrI

\(\hat{R}\)

Bulk ESS

Tail ESS

Fixed Effects

 Age

0.07

0.22

−0.40, 0.54

1.00

6155

4753

 fGM

0.07

0.17

−0.27, 0.41

1.00

7243

4978

Random Effects

 σIntercept

0.18

0.19

0.00, 0.71

1.00

6708

5934

 σAge

0.35

0.28

0.02, 1.09

1.00

5324

5348

 σfGM

0.20

0.20

0.01, 0.76

1.00

7153

7036

 ρIntercept, Age

−0.00

0.51

−0.89, 0.88

1.00

10,216

7991

 ρIntercept, fGM

0.01

0.51

−0.89, 0.89

1.00

12,929

8762

 ρAge,fGM

0.10

0.50

−0.84, 0.91

1.00

12,654

14,004

Residual Standard Deviation

 σ

1.00

0.08

0.87, 1.16

1.00

17,365

12,983

  1. R2 = 0.08 (95% CrI = 0.015, 0.17).