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Table 3 Standardized estimates of the cross-lagged relationship between change in loneliness and change in frailty

From: Associations between loneliness and frailty among older adults: Evidence from the China Health and Retirement Longitudinal Study

Path

Standardized coefficient

β(SE)

Correlation

T1 loneliness \(\leftrightarrow\) T1 frailty

0.29(0.019)***

∆Early loneliness \(\leftrightarrow\) ∆Early frailty

0.14(0.022)***

∆Late loneliness \(\leftrightarrow\) ∆Late frailty

0.20(0.023)***

Autoregressive

T1 loneliness → ∆Early loneliness

–0.70(0.016)***

T1 loneliness → ∆Late loneliness

–0.47(0.027)***

∆Early loneliness → ∆Late loneliness

–0.71(0.023)***

T1 frailty → ∆Early frailty

–0.71(0.014)***

T1 frailty → ∆Late frailty

–0.55(0.024)***

∆Early frailty → ∆Late frailty

–0.78(0.020)***

Cross-lagged

T1 loneliness → ∆Early frailty

0.04(0.023)+

T1 loneliness → ∆Late frailty

0.04(0.025)

∆Earlyloneliness → ∆Late frailty

–0.01(0.023)

T1 frailty → ∆Early loneliness

0.03(0.018)+

T1 frailty → ∆Late loneliness

0.09(0.027)**

∆Early frailty → ∆Late loneliness

0.06(0.024)*

  1. Note, *** P < 0.001, ** P < 0.01, * P < 0.05; + P < 0.1
  2. The model fit indices were CFI = 0.998, RMSEA = 0.019, and SRMR = 0.004. Combined with the previous cross-lagged model results (Table 2), the positive cross-lagged path between loneliness and frailty across time, as well as both positive autoregressive path in loneliness and frailty, suggesting that an increase in the level of loneliness or frailty at a specific time point leads to an increase in the variable itself or another variable at a subsequent time point. Therefore, we interpreted the "change" as a deepening of the level of the variable