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Table 3 Estimated parameters of variance (Var) and covariance (Cov) from the primary analysis and the three sensitivity analyses using bivariate linear mixed models

From: Estimating correlation between multivariate longitudinal data in the presence of heterogeneity

Parameters for variance-covariance&

Primary analysis

Sensitivity analysis #1

Sensitivity analysis #2

Sensitivity analysis #3

 Var(E1)

2.02 ± 0.06#

1.99 ± 0.06#

1.44 ± 0.05#

2.03 ± 0.06#

 Var(E2)

19.19 ± 0.96#

19.21 ± 0.96#

17.03 ± 0.86#

19.30 ± 0.96#

 Var(I1)

5.09 ± 0.51#

2.98 ± 0.34#

2.69 ± 0.28#

1.65 ± 0.20#

 Var(I2)

38.77 ± 4.63#

39.26 ± 4.78#

36.12 ± 4.33#

36.50 ± 4.41#

 Var(S1)

0.29 ± 0.04#

0.19 ± 0.03#

0.12 ± 0.02#

0.09 ± 0.02#

 Var(S2)

1.35 ± 0.24#

1.31 ± 0.24#

0.73 ± 0.16#

0.81 ± 0.18#

 Cov(I1, S1)

0.63 ± 0.10#

0.14 ± 0.07*

0.02 ± 0.05

−0.11 ± 0.04#

 Cov(I2, S2)

−0.73 ± 0.79

−1.11 ± 0.81

−1.11 ± 0.63

−1.13 ± 0.69

 Cov(I1, I2)

3.88 ± 1.17#

3.01 ± 0.98#

2.14 ± 0.79#

1.13 ± 0.69

 Cov(S1, S2)

0.37 ± 0.08#

0.26 ± 0.06#

0.09 ± 0.04*

0.03 ± 0.04

 Cov(I1, S2)

1.16 ± 0.27#

0.53 ± 0.21*

0.13 ± 0.15

0.13 ± 0.14

 Cov(I2, S1)

0.67 ± 0.31*

0.44 ± 0.27

0.28 ± 0.19

0.40 ± 0.19*

  1. &Ek, Ik, Sk: error term, random intercept, and random slope for MD (k = 1) and VA (k = 2)
  2. * p < 0.05, # p < 0.01