Table 1.
Summaries of extended linear mixed models (with marginal multivariate‐normal distribution) fitted to square‐root transformed pre‐antiretroviral therapy CD4 measurements from the Concerted Action on SeroConversion to AIDS and Death in Europe dataset.
| Random slopes + | Random slopes + | Random slopes + | ||
|---|---|---|---|---|
| Random slopes + | exp. cor. + | Brownian motion+ | fBM + | |
| measurement error | measurement error | measurement error | measurement error | |
| β 0 | 24.13 (24.02 to 24.24) | 24.12 (24.01 to 24.23) | 23.81 (23.7 to 23.92) | 23.82 (23.71 to 23.92) |
| β 1 | −1.36 (−1.4 to −1.33) | −1.35 (−1.38 to −1.31) | −1.15 (−1.18 to −1.11) | −1.15 (−1.19 to −1.12) |
| U 00 | 33.68 (32.65 to 34.73) | 33.22 (32.2 to 34.27) | 28.69 (27.72 to 29.7) | 27.46 (26.46 to 28.51) |
| ρ | −0.39 (−0.41 to −0.36) | −0.38 (−0.41 to −0.35) | −1 (−1 to 1) | −0.59 (−0.63 to −0.54) |
| U 11 | 1.62 (1.54 to 1.71) | 1.54 (1.46 to 1.62) | 0.20 (0.16 to 0.24) | 0.58 (0.49 to 0.68) |
| σ | 2.76 (2.74 to 2.77) | 2.79 (2.77 to 2.81) | 2.28 (2.26 to 2.29) | 2.01 (1.94 to 2.07) |
| γ | — | 0.03 (0.03 to 0.03) | — | — |
| κ | — | — | 7.00 (6.78 to 7.22) | 9.32 (8.78 to 9.91) |
| H | — | — | — | 0.30 (0.27 to 0.33) |
| ℓ | −232579 | −232349 | −230109 | −230029 |
| BIC | 465226 | 464777 | 460297 | 460149 |
Parameter estimates are given with 95% confidence intervals in parentheses. BIC, Bayesian information criterion; exp. cor., exponential decay correlation structure for residual error term; fBM, fractional Brownian motion; ℓ, log‐likelihood.