Table 5 Averages and 95% confidence intervals for correlations between random intercepts and correlation between random slopes based on simulated data, where data were generated under 3 different scenarios (Scenarios A: different proportions of progressive cases; Scenarios B: different magnitudes of deteriorating rates in progressive cases; Scenarios C: various strength of between-error correlations)

0.145

0.111

0.199 (0.070, 0.329)

0.522 (0.390, 0.654)^a

0.246 (0.118, 0.373)

0.657 (0.562, 0.753)^a

0.268 (0.153, 0.383)^a

0.727 (0.651, 0.804)^a

0.296 (0.178, 0.413)^a

0.769 (0.698, 0.840)^a

0.200 (0.070, 0.329)

0.240 (0.051, 0.429)

0.207 (0.077, 0.336)

0.382 (0.223, 0.542)^a

0.199 (0.070, 0.329)

0.522 (0.390, 0.654)^a

0.205 (0.078, 0.332)

0.634 (0.532, 0.734)^a

0.202 (0.078, 0.327)

0.706 (0.616, 0.795)^a

0.199 (0.070, 0.329)

0.522 (0.390, 0.654)^a

0.232 (0.104, 0.361)

0.603 (0.479, 0.727)^a

0.273 (0.147, 0.398)^a

0.686 (0.574, 0.797)^a

0.303 (0.180, 0.425)^a

0.769 (0.664, 0.873)^a

0.334 (0.218, 0.450)^a

0.853 (0.756, 0.949)^a