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Table 2 Parameter estimates of the bivariate model

From: Frailty and loneliness among community-dwelling older adults: examining reciprocal associations within a measurement burst design

Parameter

Est. [95%CI]

Random effects: Means

 

 Intercept FI1*

0.18 [0.17, 0.19]

 Intercept FI2*

0.20 [0.19, 0.22]

 Intercept LS1*

3.39 [3.30, 3.48]

 Intercept LS2*

3.51 [3.42, 3.61]

Fixed effects: Means

 

 Slope LS1*

0.02 [0.00, 0.03]

 Slope LS2*

-0.01 [-0.02, 0.00]

Random Effects: Correlation

 

 ζ1: Intercept FI1 ↔ Intercept FI2

0.94 [0.92, 0.97]

 ζ2: Intercept FI1 ↔ Intercept LS1

0.57 [0.46, 0.68]

 ζ3: Intercept FI1 ↔ Intercept LS2

0.58 [0.46, 0.69]

 ζ4: Intercept FI2 ↔ Intercept LS1

0.52 [0.41, 0.63]

 ζ5: Intercept FI2 ↔ Intercept LS2

0.53 [0.41, 0.65]

 ζ6: Intercept LS1 ↔ Intercept LS2

0.92 [0.87, 0.98]

Autoregressive (FI → FI)

 

 α1

0.26 [0.11, 0.41]

 α2

0.29 [0.15, 0.43]

 α3

0.28 [0.04, 0.53]

 α4

0.08 [-0.10, 0.26]

 α5

0.28 [0.10, 0.45]

 α6

0.21 [0.04, 0.38]

 α7

0.12 [-0.13, 0.37]

 α8

0.23 [0.07, 0.38]

 α9

0.17 [-0.02, 0.36]

 α10

0.11 [-0.23, 0.45]

 α11

0.29 [0.07, 0.52]

 α12

0.22 [0.02, 0.41]

 α13

0.34 [0.08, 0.59]

Autoregressive (LS → LS)

 

 β1

0.24 [0.08, 0.39]

 β2

0.16 [-0.07, 0.39]

 β3

0.14 [-0.13, 0.40]

 β4

0.03 [-0.21, 0.28]

 β5

0.14 [-0.09, 0.37]

 β6

0.26 [0.09, 0.44]

 β7

-0.02 [-0.28, 0.24]

 β8

0.07 [-0.16, 0.29]

 β9

0.06 [-0.23, 0.35]

 β10

0.03 [-0.24, 0.29]

 β11

-0.14 [-0.40, 0.12]

 β12

0.04 [-0.21, 0.29]

 β13

0.34 [0.07, 0.61]

Cross-lagged (LS → FI)

 

 δ1

0.00 [-0.16, 0.16]

 δ3

0.09 [-0.04, 0.21]

 δ3

0.05 [-0.10, 0.20]

 δ4

-0.03 [-0.17, 0.12]

 δ5

-0.05 [-0.19, 0.10]

 δ6

-0.03 [-0.15, 0.09]

 δ7

0.08 [-0.05, 0.20]

 δ8

0.01 [-0.17, 0.19]

 δ9

0.03 [-0.15, 0.22]

 δ10

-0.02 [-0.20, 0.16]

 δ11

0.09 [-0.06, 0.25]

 δ12

0.04 [-0.12, 0.20]

 δ13

0.08 [-0.08, 0.25]

Cross-lagged (FI → LS)

 

 γ1

0.10 [0.00, 0.20]

 γ3

0.16 [-0.01, 0.32]

 γ3

0.17 [0.00, 0.34]

 γ4

-0.07 [-0.26, 0.12]

 γ5

-0.04 [-0.20, 0.13]

 γ6

-0.08 [-0.20, 0.04]

 γ7

0.05 [-0.07, 0.17]

 γ8

0.11 [-0.07, 0.29]

 γ9

-0.00 [-0.20, 0.19]

 γ10

0.07 [-0.14, 0.28]

 γ11

0.23 [0.01, 0.45]

 γ12

0.05 [-0.17, 0.27]

 γ13

0.14 [-0.04, 0.33]

Within-time (FI ↔ LS)

 

 λ1

0.23 [0.12, 0.34]

 λ2

0.17 [0.05, 0.28]

 λ3

0.18 [0.08, 0.29]

 λ4

0.14 [-0.03, 0.31]

 λ5

0.16 [-0.04, 0.37]

 λ6

0.18 [0.03, 0.34]

 λ7

0.19 [0.07, 0.32]

 λ8

0.07 [-0.08, 0.22]

 λ9

0.05 [-0.13, 0.23]

 λ10

0.08 [-0.08, 0.24]

 λ11

0.10 [-0.08, 0.28]

 λ12

0.10 [-0.18, 0.37]

 λ13

0.11 [-0.02, 0.25]

 λ14

0.09 [-0.06, 0.24]

  1. Note. We report standardized parameter estimates and 95% CI for all variables, except for the means of random and fixed effects. The superscript * indicates that unstandardized estimates are reported instead. FI = frailty index, LS = loneliness