Table 2 The associations of the quartile of VAI or LAP, relative to Quartile 1 with frailty

Continuous of ln (VAI)

 − 0.98–1.96

2.78(2.15,3.59)

2.70(2.09,3.50)

2.03(1.47,2.80)

Quartiles of ln (VAI)

 Q1

 < − 0.02

Ref

Ref

Ref

 Q2

 − 0.02–0.19

1.21(0.95,1.54)

1.18(0.93,1.50)

1.04(0.83,1.31)

 Q3

0.19–0.41

1.63(1.32,2.00)

1.57(1.27,1.93)

1.33(1.07,1.65)

 Q4

 ≥ 0.41

2.45(1.97,3.05)

2.36(1.89,2.94)

1.84(1.40,2.42)

P for trend

 < 0.001

 < 0.001

 < 0.001

Continuous of ln (LAP)

 − 0.34–3.42

2.93(2.30,3.74)

2.99(2.33,3.83)

2.74(2.01,3.75)

Quartiles of ln (LAP)

 Q1

 < 1.47

Ref

Ref

Ref

 Q2

1.47–1.69

1.23(0.98,1.55)

1.24(0.98,1.57)

1.20(0.93,1.54)

 Q3

1.69–1.91

1.50(1.24,1.82)

1.51(1.24,1.84)

1.39(1.10,1.76)

 Q4

 ≥ 1.91

2.69(2.21,3.28)

2.73(2.24,3.34)

2.47(1.89,3.24)

P for trend

 < 0.001

 < 0.001

 < 0.001