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. Author manuscript; available in PMC: 2024 Jan 1.
Published in final edited form as: Nurs Res. 2023 Jul-Aug;72(4):281–291. doi: 10.1097/NNR.0000000000000656

Table 4.

Estimated Within- and Between-Person Variances and Covariances of the Quadratic Growth Models (n = 606)

Model 1 Model 2

Within-person variance MLE(SE) 95% CI MLE(SE) 95% CI

τ0 2.31(0.03) [2.25, 2.37] 2.11(0.06) [1.98, 2.23]
maxyear, τ1 −0.08(0.02) [−0.11, −0.05] −0.045(0.016) [−0.076, −0.013]
sex, τ2 0.15(0.065) [0.023, 0.28]
DD, τ3 0.009(0.004) [0.001, 0.017]
age, τ4 −0.001(0.003) [−0.006, 0.004]

Between-person variances

Intercept, β0i
α00 4.47(0.06) [4.35, 4.59] 4.5(0.14) [4.2, 4.8]
maxyear, α01 −0.069(0.019) [−0.11, −0.03]
sex, α02 −0.099(0.15) [−0.40, 0.20]
DD, α03 0.02(0.01) [−0.003, 0.035]
age, α04 −0.010.01 [−0.025, 0.003]
Linear slope, β1i
α10 −0.96(0.08) [−1.13, −0.80] −0.61(0.21) [−1.02, −0.20]
maxyear, α11 −0.24(0.05) [−0.34, −0.14]
sex, α12 −0.004(0.22) [−0.45, 0.44]
DD, α13 −0.02(0.01) [−0.05, 0.01]
age, α14 0.02(0.01) [−0.004, 0.033]
Quadratic slope, β2i
α20 −4.7(0.16) [−5.0, −4.4] −3.2(0.35) [−3.9, −2.6]
maxyear, α21 −0.61(0.10) [−0.82, −0.41]
sex, α22 −0.50(0.35) [−1.2, 0.18]
DD, α23 0.002(0.028) [−0.05, 0.06]
age, α24 −0.041(0.018) [−0.078, −0.006]

Calculated variance estimates

Within-person variance, σεi2 10.1 8.2
Intercept variance, ϕb02 87 91
Linear slope variance, ϕb12 0.38 0.54
Quadratic slope variance, ϕb22 0.009 0.039

−lnL 5836.6 29775
AIC 5864.6 29851
BIC 5926.3 30019

Notes: AIC = Akaike information criterion; BIC = Bayesian information criterion; DD= diagnosis duration. The calculated variance estimates are obtained by exponentiating the intercept of the corresponding variance model. For example, σεi2=exp{τ0}.