TABLE 5.
Analysis of the ARIC study based on eight candidate marginal mean regressions and three potential correlation structures
| Predictors | C(ρ) | Model 1 | Model 2 | Model 3 | Model 4 | Model 5 | Model 6 | Model 7 | Model 8 |
|---|---|---|---|---|---|---|---|---|---|
| Time | 0.05* (0.012) | 0.05* (0.012) | 0.05* (0.012) | 0.05* (0.012) | 0.05* (0.012) | 0.05* (0.012) | 0.05* (0.012) | 0.05* (0.012) | |
| Gender | −0.15* (0.054) | −0.10* (0.050) | −0.11* (0.052) | −0.14* (0.052) | −0.10* (0.050) | −0.13* (0.052) | |||
| Smoke | −0.10 (0.057) | –0.07 (0.052) | −0.11* (0.055) | −0.07 (0.052) | −0.11* (0.055) | ||||
| Age | 0.36* (0.045) | 0.37* (0.045) | 0.37* (0.045) | 0.36* (0.045) | 0.36* (0.046) | 0.36* (0.045) | |||
| Diabetes | 0.14 (0.076) | 0.09 (0.078) | 0.10 (0.076) | 0.09 (0.077) | |||||
| JEAIC | AR1 | 123.46 | 55.24 | 59.58 | 117.78 | 56.26 | 58.04 | 62.51 | 58.95 |
| EXC | 129.37 | 71.02 | 73.19 | 121.8 | 70.37 | 70.51 | 72.66 | 69.68 | |
| IND | 922.75 | 789.34 | 781.46 | 896.88 | 798.1 | 780.41 | 785.85 | 791.26 | |
| JEBIC | AR1 | 148.18 | 79.96 | 84.29 | 142.5 | 85.92 | 87.7 | 92.17 | 93.55 |
| EXC | 154.09 | 95.73 | 97.91 | 146.52 | 100.03 | 100.17 | 102.32 | 104.28 | |
| IND | 942.52 | 809.11 | 801.23 | 916.66 | 822.81 | 805.13 | 810.57 | 820.91 | |
| MLIC | EXC | 5,118 | 5,037.9 | 5,040.7 | 5,117.2 | 5,040.1 | 5,042.5 | 5,044.9 | 5,044.8 |
| QICWr | EXC | 5,114.7 | 5,035.1 | 5,037.9 | 5,113.5 | 5,036.6 | 5,038.6 | 5,041 | 5,040.1 |
Summary results include WGEE estimates with standard errors in parentheses under an AR1 “working” correlation structure, and JEAIC, JEBIC, MLIC, and QICWr for model selection. It is noted that for MLIC and QICWr, an EXC correlation structure is selected based on MLICC and QICWr, respectively.
Abbreviations: ARIC, Atherosclerosis Risk in Communities; EXC, exchangeable; IND, independence; JEAIC, joint empirical Akaike information criterion; JEBIC, joint empirical Bayesian information criterion; MLIC, missing longitudinal information criterion; QICW, weighted quasi-likelihood information criterion.
p < 0.05.
The bold values denote the optimal models selected based on different criteria.