Table 3 Fixed and random effects and residual standard deviation σ of Bayesian linear mixed effects model of sex as a moderator of age- GABA+/Cr association, 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

−0.18

0.21

−0.60, 0.27

1.00

5625

3400

 fGM

0.14

0.16

−0.19, 0.46

1.00

7224

5389

 Sex

0.25

0.20

−0.14, 0.64

1.00

13,546

10,644

 Age × Sexmale

0.58

0.20

0.19, 0.98

1.00

14,780

13,398

Random Effects

 σIntercept

0.18

0.19

0.01, 0.71

1.00

6575

7320

 σAge

0.27

0.24

0.01, 0.93

1.00

5564

7234

 σfGM

0.19

0.20

0.01, 0.71

1.00

7131

6827

 ρIntercept, Age

−0.02

0.52

−0.90, 0.89

1.00

11,012

10,786

 ρIntercept, fGM

−0.00

0.51

−0.89, 0.89

1.00

12,912

11,281

 ρAge, fGM

0.07

0.51

−0.86, 0.91

1.00

11,764

11,031

Residual Standard Deviation

 σ

0.96

0.07

0.83, 1.12

1.00

15,271

12,829

  1. R2 = 0.16 (95% CrI = 0.07, 0.27).